1 added
2 removed
Original
2026-01-01
Modified
2026-02-28
1
-
<p>303 Learners</p>
1
+
<p>330 Learners</p>
2
<p>Last updated on<strong>August 5, 2025</strong></p>
2
<p>Last updated on<strong>August 5, 2025</strong></p>
3
<p>Least Common Multiple (LCM) is the smallest positive integer that is divisible by both 6, 7, and 120. By learning the following tricks, you can learn the LCM of 6, 7, and 120 easily.</p>
3
<p>Least Common Multiple (LCM) is the smallest positive integer that is divisible by both 6, 7, and 120. By learning the following tricks, you can learn the LCM of 6, 7, and 120 easily.</p>
4
<h2>What is the LCM of 6, 72 and 120?</h2>
4
<h2>What is the LCM of 6, 72 and 120?</h2>
5
<p>The LCM of 6, 7, and 120 is 360. How did we get to this answer, though? That’s what we’re going to learn. We also see how we can find the LCM of 2 or more<a>numbers</a>in different ways.</p>
5
<p>The LCM of 6, 7, and 120 is 360. How did we get to this answer, though? That’s what we’re going to learn. We also see how we can find the LCM of 2 or more<a>numbers</a>in different ways.</p>
6
<h2>How to find the LCM of 6,72, and120?</h2>
6
<h2>How to find the LCM of 6,72, and120?</h2>
7
<p>We have already read about how you can approach finding the LCM of 2 or more numbers. Here is a list of those methods which make it easy to find the LCMs:</p>
7
<p>We have already read about how you can approach finding the LCM of 2 or more numbers. Here is a list of those methods which make it easy to find the LCMs:</p>
8
<p><strong>Method 1:</strong>Listing of Multiples<strong>Method 2:</strong>Prime Factorization<strong>Method 3:</strong>Division Method</p>
8
<p><strong>Method 1:</strong>Listing of Multiples<strong>Method 2:</strong>Prime Factorization<strong>Method 3:</strong>Division Method</p>
9
<p>Now let us delve further into these three methods and how it benefits us. </p>
9
<p>Now let us delve further into these three methods and how it benefits us. </p>
10
<h3>LCM of 6, 72, and 120 Using Listing the Multiples</h3>
10
<h3>LCM of 6, 72, and 120 Using Listing the Multiples</h3>
11
<p>In this method, we will list all the<a>multiples</a>of 6, 72, and 120. Then we will try to find a multiple that is present in both numbers.</p>
11
<p>In this method, we will list all the<a>multiples</a>of 6, 72, and 120. Then we will try to find a multiple that is present in both numbers.</p>
12
<p>For example, </p>
12
<p>For example, </p>
13
<p>Multiples of 6: 6, 12, 18, 24, 30,…360</p>
13
<p>Multiples of 6: 6, 12, 18, 24, 30,…360</p>
14
<p>Multiples of 72: 72, 144, 216, 288, 360</p>
14
<p>Multiples of 72: 72, 144, 216, 288, 360</p>
15
<p>Multiples of 120: 120, 240, 360, 480, 600</p>
15
<p>Multiples of 120: 120, 240, 360, 480, 600</p>
16
<p>The LCM of 6, 7, and 120 360. 360 is the smallest number which can be divisible by both 6, 72, and 120. </p>
16
<p>The LCM of 6, 7, and 120 360. 360 is the smallest number which can be divisible by both 6, 72, and 120. </p>
17
<h3>Explore Our Programs</h3>
17
<h3>Explore Our Programs</h3>
18
-
<p>No Courses Available</p>
19
<h3>LCM of 6, 72 and 120 Using Prime Factorization</h3>
18
<h3>LCM of 6, 72 and 120 Using Prime Factorization</h3>
20
<p>To find the LCM of 6, 72, and 120 using the<a>prime factorization</a>method, we need to find out the prime<a>factors</a>of both the numbers. Then multiply the highest<a>powers</a>of the factors to get the LCM.</p>
19
<p>To find the LCM of 6, 72, and 120 using the<a>prime factorization</a>method, we need to find out the prime<a>factors</a>of both the numbers. Then multiply the highest<a>powers</a>of the factors to get the LCM.</p>
21
<p>Prime factors of 6 are: 2×3</p>
20
<p>Prime factors of 6 are: 2×3</p>
22
<p>Prime factors of 72 are: 2×2×2×3×3</p>
21
<p>Prime factors of 72 are: 2×2×2×3×3</p>
23
<p>Prime factors of 120 are: 2×2×2×3×5</p>
22
<p>Prime factors of 120 are: 2×2×2×3×5</p>
24
<p>Multiply the highest power of both the factors : 23 x 32 x 51 = 360</p>
23
<p>Multiply the highest power of both the factors : 23 x 32 x 51 = 360</p>
25
<p>Therefore, the LCM of 6, 72, 120 is 360 </p>
24
<p>Therefore, the LCM of 6, 72, 120 is 360 </p>
26
<h3>LCM OF 6,72, and 120 Using Division Method</h3>
25
<h3>LCM OF 6,72, and 120 Using Division Method</h3>
27
<p>To calculate the LCM using the<a>division</a>method. We will divide the given numbers with their<a>prime numbers</a>. The prime numbers should at least divide any one of the given numbers. Divide the numbers till the<a>remainder</a>becomes 1. By multiplying the prime factors, one can get LCM.</p>
26
<p>To calculate the LCM using the<a>division</a>method. We will divide the given numbers with their<a>prime numbers</a>. The prime numbers should at least divide any one of the given numbers. Divide the numbers till the<a>remainder</a>becomes 1. By multiplying the prime factors, one can get LCM.</p>
28
<p>For finding the LCM of 6, 7, and 120 we will use the following method.</p>
27
<p>For finding the LCM of 6, 7, and 120 we will use the following method.</p>
29
<p>By multiplying the prime divisors from the table, we will get the LCM of 6, 7, and 120.</p>
28
<p>By multiplying the prime divisors from the table, we will get the LCM of 6, 7, and 120.</p>
30
<p>2 x 2 x 2 x 3 x 3 x 5 = 360</p>
29
<p>2 x 2 x 2 x 3 x 3 x 5 = 360</p>
31
<p>The LCM of 6, 7, and 120 = 360</p>
30
<p>The LCM of 6, 7, and 120 = 360</p>
32
<h2>Common Mistakes and How to Avoid Them in LCM of 6,72 and 120</h2>
31
<h2>Common Mistakes and How to Avoid Them in LCM of 6,72 and 120</h2>
33
<p>Mistakes are common when we are finding the LCM of numbers. By learning the following common mistakes, we can avoid the mistakes. </p>
32
<p>Mistakes are common when we are finding the LCM of numbers. By learning the following common mistakes, we can avoid the mistakes. </p>
34
<h3>Problem 1</h3>
33
<h3>Problem 1</h3>
35
<p>Find x LCM (6,72,x) = 360?</p>
34
<p>Find x LCM (6,72,x) = 360?</p>
36
<p>Okay, lets begin</p>
35
<p>Okay, lets begin</p>
37
<p>The LCM of 6,72 = 360</p>
36
<p>The LCM of 6,72 = 360</p>
38
<p>The LCM of 6,72 and x should be the number that is divisible by all three numbers.</p>
37
<p>The LCM of 6,72 and x should be the number that is divisible by all three numbers.</p>
39
<p>The LCM remains at 120,</p>
38
<p>The LCM remains at 120,</p>
40
<p>Common factor of 120 = 1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,and 120. </p>
39
<p>Common factor of 120 = 1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,and 120. </p>
41
<h3>Explanation</h3>
40
<h3>Explanation</h3>
42
<p>The desirable values for x will be any one of the listed factors. The LCM with all the numbers above remains at 120. </p>
41
<p>The desirable values for x will be any one of the listed factors. The LCM with all the numbers above remains at 120. </p>
43
<p>Well explained 👍</p>
42
<p>Well explained 👍</p>
44
<h3>Problem 2</h3>
43
<h3>Problem 2</h3>
45
<p>There are three movies showing in the local cinemas. The first movie plays every 6 hours, the second every 72, and the third every 120 hours. Today all three movies are showing at the same time, so after how many hours will all three movies show at the same time?</p>
44
<p>There are three movies showing in the local cinemas. The first movie plays every 6 hours, the second every 72, and the third every 120 hours. Today all three movies are showing at the same time, so after how many hours will all three movies show at the same time?</p>
46
<p>Okay, lets begin</p>
45
<p>Okay, lets begin</p>
47
<p>Numbers of hours the first movie is shown = 6 Numbers of hours the second movie is shown = 72 Numbers of hours the third movie is shown = 120</p>
46
<p>Numbers of hours the first movie is shown = 6 Numbers of hours the second movie is shown = 72 Numbers of hours the third movie is shown = 120</p>
48
<p>The numbers it will take for all three movies to show at once = LCM of 6, 72, and 120 = 360 hours </p>
47
<p>The numbers it will take for all three movies to show at once = LCM of 6, 72, and 120 = 360 hours </p>
49
<h3>Explanation</h3>
48
<h3>Explanation</h3>
50
<p>Hence, every 360 hours, all the movies will be played at once in the local cinemas. </p>
49
<p>Hence, every 360 hours, all the movies will be played at once in the local cinemas. </p>
51
<p>Well explained 👍</p>
50
<p>Well explained 👍</p>
52
<h3>Problem 3</h3>
51
<h3>Problem 3</h3>
53
<p>Find the smallest number that is exactly divisible by 6,72, and 120.</p>
52
<p>Find the smallest number that is exactly divisible by 6,72, and 120.</p>
54
<p>Okay, lets begin</p>
53
<p>Okay, lets begin</p>
55
<p>Here, The value of LCM (6,72,120) will be the smallest number that is correctly divisible by 6,72,120. Then multiples of numbers 6,72,120 </p>
54
<p>Here, The value of LCM (6,72,120) will be the smallest number that is correctly divisible by 6,72,120. Then multiples of numbers 6,72,120 </p>
56
<p>Multiple of 6 = 6,12,18,24,30,36,42,48,54,60……336,342,348,354,360…</p>
55
<p>Multiple of 6 = 6,12,18,24,30,36,42,48,54,60……336,342,348,354,360…</p>
57
<p>Multiple of 72 = 72,144,216,288,360,432,504…..</p>
56
<p>Multiple of 72 = 72,144,216,288,360,432,504…..</p>
58
<p>Multiple 120 = 120,240,360,480,600,720,840….</p>
57
<p>Multiple 120 = 120,240,360,480,600,720,840….</p>
59
<p>Accordingly, the LCM OF 6,72 and 120 is 360. </p>
58
<p>Accordingly, the LCM OF 6,72 and 120 is 360. </p>
60
<h3>Explanation</h3>
59
<h3>Explanation</h3>
61
<p>Here is the smallest number that is exactly divisible by 6,72, and 120 is also 360.</p>
60
<p>Here is the smallest number that is exactly divisible by 6,72, and 120 is also 360.</p>
62
<p>Well explained 👍</p>
61
<p>Well explained 👍</p>
63
<h3>Problem 4</h3>
62
<h3>Problem 4</h3>
64
<p>A bus travels to the mall every 6 hours, another bus travels to the mall every 72 hours. A third bus travels to the same mall every 120 hours. How many hours will it take for all three buses to meet at the same time?</p>
63
<p>A bus travels to the mall every 6 hours, another bus travels to the mall every 72 hours. A third bus travels to the same mall every 120 hours. How many hours will it take for all three buses to meet at the same time?</p>
65
<p>Okay, lets begin</p>
64
<p>Okay, lets begin</p>
66
<p>Numbers of hours the first bus arrives in = 6</p>
65
<p>Numbers of hours the first bus arrives in = 6</p>
67
<p>Numbers of hours the second bus arrives in = 72</p>
66
<p>Numbers of hours the second bus arrives in = 72</p>
68
<p>Numbers of hours the third bus arrives in = 120 </p>
67
<p>Numbers of hours the third bus arrives in = 120 </p>
69
<h3>Explanation</h3>
68
<h3>Explanation</h3>
70
<p>The number of hours it will take for all three buses to arrive at the same time = LCM of 6, 7, and 120 = 360 hours</p>
69
<p>The number of hours it will take for all three buses to arrive at the same time = LCM of 6, 7, and 120 = 360 hours</p>
71
<p>Hence, every 360 hours, all the three buses will arrive at the same time. </p>
70
<p>Hence, every 360 hours, all the three buses will arrive at the same time. </p>
72
<p>Well explained 👍</p>
71
<p>Well explained 👍</p>
73
<h3>Problem 5</h3>
72
<h3>Problem 5</h3>
74
<p>There are three lights blinking at different intervals. The first light blinks every 6 seconds, the second light blinks every 72 seconds and the third blinks every 120 seconds. After how many seconds will they blink together again?</p>
73
<p>There are three lights blinking at different intervals. The first light blinks every 6 seconds, the second light blinks every 72 seconds and the third blinks every 120 seconds. After how many seconds will they blink together again?</p>
75
<p>Okay, lets begin</p>
74
<p>Okay, lets begin</p>
76
<p>The interval of the first light = 6 seconds</p>
75
<p>The interval of the first light = 6 seconds</p>
77
<p>The interval of the second light = 72 seconds</p>
76
<p>The interval of the second light = 72 seconds</p>
78
<p>The interval of the third light = 120 seconds</p>
77
<p>The interval of the third light = 120 seconds</p>
79
<h3>Explanation</h3>
78
<h3>Explanation</h3>
80
<p> The amount of time it will take for all lights to blink together = LCM of 6, 72, 120 = 360 seconds</p>
79
<p> The amount of time it will take for all lights to blink together = LCM of 6, 72, 120 = 360 seconds</p>
81
<p>Therefore, the lights will blink together after every 360 seconds </p>
80
<p>Therefore, the lights will blink together after every 360 seconds </p>
82
<p>Well explained 👍</p>
81
<p>Well explained 👍</p>
83
<h2>FAQs on Least Common Multiple of 6,72, and 120</h2>
82
<h2>FAQs on Least Common Multiple of 6,72, and 120</h2>
84
<h3>1.What is the GCF of 72 and 120?</h3>
83
<h3>1.What is the GCF of 72 and 120?</h3>
85
<h3>2.What is the LCM of 72,90, and 120?</h3>
84
<h3>2.What is the LCM of 72,90, and 120?</h3>
86
<p>Therefore, LCM of 72,90 and 120.</p>
85
<p>Therefore, LCM of 72,90 and 120.</p>
87
<p>LCM = 2×3×51</p>
86
<p>LCM = 2×3×51</p>
88
<p>LCM = 8×9×5 =360 </p>
87
<p>LCM = 8×9×5 =360 </p>
89
<h3>3.How to find the GCF of 60, 72, 120?</h3>
88
<h3>3.How to find the GCF of 60, 72, 120?</h3>
90
<p>GCF means: multiplying all the factors of both lists. Here the GCF of 60, 72, and 120 is 360. So the GCF is 12. The steps included for the GCF calculation are as follows, first, we find out the prime factors of each number. Finally, we make sure the multiples multiply the lowest power of a common prime number. </p>
89
<p>GCF means: multiplying all the factors of both lists. Here the GCF of 60, 72, and 120 is 360. So the GCF is 12. The steps included for the GCF calculation are as follows, first, we find out the prime factors of each number. Finally, we make sure the multiples multiply the lowest power of a common prime number. </p>
91
<h3>4.What is the LCM of 60, 72, and 108?</h3>
90
<h3>4.What is the LCM of 60, 72, and 108?</h3>
92
<p>LCM: The<a>least common multiple</a>of these numbers is 60, 72, and 108 is 1080. Multiply the highest power of these primes. </p>
91
<p>LCM: The<a>least common multiple</a>of these numbers is 60, 72, and 108 is 1080. Multiply the highest power of these primes. </p>
93
<h3>5.What is the GCF of 6,72 and 120 by prime factorization?</h3>
92
<h3>5.What is the GCF of 6,72 and 120 by prime factorization?</h3>
94
<p>Prime factorization of each number is;</p>
93
<p>Prime factorization of each number is;</p>
95
<p>6: 2×3 72: 2×2×2×3×3 120: 2×2×2×3×5</p>
94
<p>6: 2×3 72: 2×2×2×3×3 120: 2×2×2×3×5</p>
96
<p>Accordingly, 6,72,120 are prime factors. Here, the GCF of 6, 72, and 120 is 2 × 3 = 6 </p>
95
<p>Accordingly, 6,72,120 are prime factors. Here, the GCF of 6, 72, and 120 is 2 × 3 = 6 </p>
97
<h2>Important Glossaries for LCM of 6, 72, and 120</h2>
96
<h2>Important Glossaries for LCM of 6, 72, and 120</h2>
98
<ul><li><strong>Prime Number:</strong>Any number that has only 2 factors is called a prime number.For 5 and 7, only common factors are 1 and the number itself.</li>
97
<ul><li><strong>Prime Number:</strong>Any number that has only 2 factors is called a prime number.For 5 and 7, only common factors are 1 and the number itself.</li>
99
</ul><ul><li><strong>Composite Number:</strong>Any number that has more than 2 factors is called a composite number. For example, 4,8 and 10. </li>
98
</ul><ul><li><strong>Composite Number:</strong>Any number that has more than 2 factors is called a composite number. For example, 4,8 and 10. </li>
100
</ul><ul><li><strong>Prime Factorization:</strong>It is breaking down a number into smaller prime numbers, then multiplied together, giving the same number.</li>
99
</ul><ul><li><strong>Prime Factorization:</strong>It is breaking down a number into smaller prime numbers, then multiplied together, giving the same number.</li>
101
</ul><p>What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math</p>
100
</ul><p>What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math</p>
102
<p>▶</p>
101
<p>▶</p>
103
<h2>Hiralee Lalitkumar Makwana</h2>
102
<h2>Hiralee Lalitkumar Makwana</h2>
104
<h3>About the Author</h3>
103
<h3>About the Author</h3>
105
<p>Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.</p>
104
<p>Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.</p>
106
<h3>Fun Fact</h3>
105
<h3>Fun Fact</h3>
107
<p>: She loves to read number jokes and games.</p>
106
<p>: She loves to read number jokes and games.</p>