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2 <p>Last updated on<strong>August 5, 2025</strong></p>
2 <p>Last updated on<strong>August 5, 2025</strong></p>
3 <p>The smallest number that should also be a positive number, and evenly divide both the numbers, is known as the least common factor. LCM is very important for solving problems, especially fractions, scheduling events etc.</p>
3 <p>The smallest number that should also be a positive number, and evenly divide both the numbers, is known as the least common factor. LCM is very important for solving problems, especially fractions, scheduling events etc.</p>
4 <h2>What is the LCM of 15 and 60</h2>
4 <h2>What is the LCM of 15 and 60</h2>
5 <p>The LCM of 15 and 60 is the lowest<a>number</a>that divides both 15 and 60 without leaving any<a>remainder</a>. The LCM of 15 and 60 is 60. </p>
5 <p>The LCM of 15 and 60 is the lowest<a>number</a>that divides both 15 and 60 without leaving any<a>remainder</a>. The LCM of 15 and 60 is 60. </p>
6 <h2>How to find the LCM of 15 and 60?</h2>
6 <h2>How to find the LCM of 15 and 60?</h2>
7 <h3>LCM of 15 and 60 using Division method:</h3>
7 <h3>LCM of 15 and 60 using Division method:</h3>
8 <p>In the division method, we divide both the numbers by the lowest possible number until we get 1 for both numbers.</p>
8 <p>In the division method, we divide both the numbers by the lowest possible number until we get 1 for both numbers.</p>
9 <p>2 divides 60 and not 15 leaving 30,15</p>
9 <p>2 divides 60 and not 15 leaving 30,15</p>
10 <p>3 divides 30 and 15 leaving 10,5</p>
10 <p>3 divides 30 and 15 leaving 10,5</p>
11 <p>5 divides 5 and 10 leaving 1,2</p>
11 <p>5 divides 5 and 10 leaving 1,2</p>
12 <p>2 divides 2 leaving 1.</p>
12 <p>2 divides 2 leaving 1.</p>
13 <p>LCM = 2 × 2 × 3 × 5= 60. </p>
13 <p>LCM = 2 × 2 × 3 × 5= 60. </p>
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16 <h3>LCM of 15 and 60 using Listing multiples:</h3>
15 <h3>LCM of 15 and 60 using Listing multiples:</h3>
17 <p>We write the multiples of both numbers till we find the common one.</p>
16 <p>We write the multiples of both numbers till we find the common one.</p>
18 <p>Multiples of 15: 15, 30, 45, 60, 75, 90,….</p>
17 <p>Multiples of 15: 15, 30, 45, 60, 75, 90,….</p>
19 <p>Multiples of 60: 60, 120, 180…</p>
18 <p>Multiples of 60: 60, 120, 180…</p>
20 <p>The<a>common multiple</a>is 60. So, the LCM of 15 and 60 is 60. </p>
19 <p>The<a>common multiple</a>is 60. So, the LCM of 15 and 60 is 60. </p>
21 <h3>LCM of 15 and 60 using prime factorization:</h3>
20 <h3>LCM of 15 and 60 using prime factorization:</h3>
22 <p>We part each number into divisors and select the highest<a>powers</a>of all the prime<a>factors</a>.</p>
21 <p>We part each number into divisors and select the highest<a>powers</a>of all the prime<a>factors</a>.</p>
23 <p>15= 3 × 5</p>
22 <p>15= 3 × 5</p>
24 <p>60 = 2 × 2 × 3 × 5</p>
23 <p>60 = 2 × 2 × 3 × 5</p>
25 <p>LCM = 22 × 3 × 5= 60. </p>
24 <p>LCM = 22 × 3 × 5= 60. </p>
26 <h2>Common Mistakes and How to Avoid Them in LCM of 15 and 60</h2>
25 <h2>Common Mistakes and How to Avoid Them in LCM of 15 and 60</h2>
27 <p>While solving problems on LCM, children are likely to make common mistakes, here are a few mistakes and how to avoid them. </p>
26 <p>While solving problems on LCM, children are likely to make common mistakes, here are a few mistakes and how to avoid them. </p>
28 <h3>Problem 1</h3>
27 <h3>Problem 1</h3>
29 <p>What is the LCM of 15 and 60 using the prime factorization method?</p>
28 <p>What is the LCM of 15 and 60 using the prime factorization method?</p>
30 <p>Okay, lets begin</p>
29 <p>Okay, lets begin</p>
31 <p>Answer: 60</p>
30 <p>Answer: 60</p>
32 <h3>Explanation</h3>
31 <h3>Explanation</h3>
33 <p> 15 = 3x5</p>
32 <p> 15 = 3x5</p>
34 <p>60= 2×2×3×5</p>
33 <p>60= 2×2×3×5</p>
35 <p>LCM= 2×2×3×5=60.</p>
34 <p>LCM= 2×2×3×5=60.</p>
36 <p>Well explained 👍</p>
35 <p>Well explained 👍</p>
37 <h3>Problem 2</h3>
36 <h3>Problem 2</h3>
38 <p>Solve the following expression using LCM of 15 and 60: 2/15 + 5/60</p>
37 <p>Solve the following expression using LCM of 15 and 60: 2/15 + 5/60</p>
39 <p>Okay, lets begin</p>
38 <p>Okay, lets begin</p>
40 <p>Answer: 13/60</p>
39 <p>Answer: 13/60</p>
41 <h3>Explanation</h3>
40 <h3>Explanation</h3>
42 <p> LCM(15,60)=60</p>
41 <p> LCM(15,60)=60</p>
43 <p>2/15 = 2x 4/15 x 4 , 5/60=5/60</p>
42 <p>2/15 = 2x 4/15 x 4 , 5/60=5/60</p>
44 <p>Add the fractions:</p>
43 <p>Add the fractions:</p>
45 <p>8/60 + 5/60 = 13/60 </p>
44 <p>8/60 + 5/60 = 13/60 </p>
46 <p>Well explained 👍</p>
45 <p>Well explained 👍</p>
47 <h3>Problem 3</h3>
46 <h3>Problem 3</h3>
48 <p>If LCM(15,60) =60 and GCD(15,60)=15, verify the relation: LCM(a, b) x GCD(a, b)=a × b</p>
47 <p>If LCM(15,60) =60 and GCD(15,60)=15, verify the relation: LCM(a, b) x GCD(a, b)=a × b</p>
49 <p>Okay, lets begin</p>
48 <p>Okay, lets begin</p>
50 <p>LCM(a, b) x GCD(a, b)=a × b</p>
49 <p>LCM(a, b) x GCD(a, b)=a × b</p>
51 <p>60 × 15= 15x 60=900 </p>
50 <p>60 × 15= 15x 60=900 </p>
52 <h3>Explanation</h3>
51 <h3>Explanation</h3>
53 <p>The relation is true. </p>
52 <p>The relation is true. </p>
54 <p>Well explained 👍</p>
53 <p>Well explained 👍</p>
55 <h2>FAQ’s on LCM of 15 and 60</h2>
54 <h2>FAQ’s on LCM of 15 and 60</h2>
56 <h3>1.What is the LCM of 5,15 and 60?</h3>
55 <h3>1.What is the LCM of 5,15 and 60?</h3>
57 <p>Solution: 5=5</p>
56 <p>Solution: 5=5</p>
58 <p>15=3x5</p>
57 <p>15=3x5</p>
59 <p>60= 2×2×3×5</p>
58 <p>60= 2×2×3×5</p>
60 <p>LCM(5,15,60)= 4×3×5 =60</p>
59 <p>LCM(5,15,60)= 4×3×5 =60</p>
61 <p>The LCM of 5,15 and 60 is 60 </p>
60 <p>The LCM of 5,15 and 60 is 60 </p>
62 <h3>2.What is the GCD of two zeros?</h3>
61 <h3>2.What is the GCD of two zeros?</h3>
63 <p>The<a>common divisor</a>of the two<a>integers</a>a and b, which cannot be both zeros, is the largest integer that divides both a and b. </p>
62 <p>The<a>common divisor</a>of the two<a>integers</a>a and b, which cannot be both zeros, is the largest integer that divides both a and b. </p>
64 <h3>3.What is relatively prime no?</h3>
63 <h3>3.What is relatively prime no?</h3>
65 <h3>4.What are exponents?</h3>
64 <h3>4.What are exponents?</h3>
66 <p>We add<a>exponents</a>when we have the same numbers repeating more than once. </p>
65 <p>We add<a>exponents</a>when we have the same numbers repeating more than once. </p>
67 <h3>5.What is a tree method?</h3>
66 <h3>5.What is a tree method?</h3>
68 <p>The tree method is the method of factorizing a number in which we split factors. In which we write methods in branches. </p>
67 <p>The tree method is the method of factorizing a number in which we split factors. In which we write methods in branches. </p>
69 <h2>Important glossaries for LCM of 15 and 60</h2>
68 <h2>Important glossaries for LCM of 15 and 60</h2>
70 <ul><li><strong>Co-prime:</strong>two numbers that have only one number that is 1 as their common factor. For example, 8 and 15 are co-prime numbers.</li>
69 <ul><li><strong>Co-prime:</strong>two numbers that have only one number that is 1 as their common factor. For example, 8 and 15 are co-prime numbers.</li>
71 </ul><ul><li><strong>Even Number:</strong>A natural number is divisible by 2. For example, 2,4,68,10 etc.</li>
70 </ul><ul><li><strong>Even Number:</strong>A natural number is divisible by 2. For example, 2,4,68,10 etc.</li>
72 </ul><ul><li><strong>Prime Factorization:</strong>The process of parting down a number into its prime factors is called Prime Factorization. For example, prime factorization of 24 = 2 × 2 × 2 × 3. </li>
71 </ul><ul><li><strong>Prime Factorization:</strong>The process of parting down a number into its prime factors is called Prime Factorization. For example, prime factorization of 24 = 2 × 2 × 2 × 3. </li>
73 </ul><p>What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math</p>
72 </ul><p>What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math</p>
74 <p>▶</p>
73 <p>▶</p>
75 <h2>Hiralee Lalitkumar Makwana</h2>
74 <h2>Hiralee Lalitkumar Makwana</h2>
76 <h3>About the Author</h3>
75 <h3>About the Author</h3>
77 <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>
76 <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>
78 <h3>Fun Fact</h3>
77 <h3>Fun Fact</h3>
79 <p>: She loves to read number jokes and games.</p>
78 <p>: She loves to read number jokes and games.</p>