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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 7 and 11</h2>
4 <h2>What is the LCM of 7 and 11</h2>
5 <p>The LCM of 7 and 11 is the lowest<a>number</a>that divides both 7 and 11 without leaving any<a>remainder</a>. The LCM of 7 and 11 is 77. </p>
5 <p>The LCM of 7 and 11 is the lowest<a>number</a>that divides both 7 and 11 without leaving any<a>remainder</a>. The LCM of 7 and 11 is 77. </p>
6 <h2>How to find the LCM of 7 and 11?</h2>
6 <h2>How to find the LCM of 7 and 11?</h2>
7 <h3>LCM of 7 and 11 using Division method:</h3>
7 <h3>LCM of 7 and 11 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>7 divides 7 leaving 1</p>
9 <p>7 divides 7 leaving 1</p>
10 <p>11 divides 11 leaving 1</p>
10 <p>11 divides 11 leaving 1</p>
11 <p>LCM = 7 × 11= 77. </p>
11 <p>LCM = 7 × 11= 77. </p>
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14 <h3>LCM of 7 and 11 using Listing multiples:</h3>
13 <h3>LCM of 7 and 11 using Listing multiples:</h3>
15 <p>We write the multiples of both numbers till we find the common one.</p>
14 <p>We write the multiples of both numbers till we find the common one.</p>
16 <p>Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77…</p>
15 <p>Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77…</p>
17 <p>Multiples of 11: 11, 22, 33, 44, 55, 66, 77…</p>
16 <p>Multiples of 11: 11, 22, 33, 44, 55, 66, 77…</p>
18 <p>The<a>common multiple</a>is 77. So, the LCM of 7 and 11 is 77. </p>
17 <p>The<a>common multiple</a>is 77. So, the LCM of 7 and 11 is 77. </p>
19 <h3>LCM of 7 and 11 using prime factorization:</h3>
18 <h3>LCM of 7 and 11 using prime factorization:</h3>
20 <p>We part each number into divisors and select the highest<a>powers</a>of all the prime<a>factors</a>.</p>
19 <p>We part each number into divisors and select the highest<a>powers</a>of all the prime<a>factors</a>.</p>
21 <p>7= 7</p>
20 <p>7= 7</p>
22 <p>11= 11</p>
21 <p>11= 11</p>
23 <p>LCM = 7 × 11= 77.</p>
22 <p>LCM = 7 × 11= 77.</p>
24 <h2>Common Mistakes and How to Avoid Them in LCM of 7 and 11</h2>
23 <h2>Common Mistakes and How to Avoid Them in LCM of 7 and 11</h2>
25 <p>While solving problems on LCM, children are likely to make common mistakes, here are a few mistakes and how to avoid them. </p>
24 <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 <h3>Problem 1</h3>
25 <h3>Problem 1</h3>
27 <p>How many common multiples do 7 and 11 have below 500.</p>
26 <p>How many common multiples do 7 and 11 have below 500.</p>
28 <p>Okay, lets begin</p>
27 <p>Okay, lets begin</p>
29 <p>The LCM of 7 and 11 is 77. </p>
28 <p>The LCM of 7 and 11 is 77. </p>
30 <h3>Explanation</h3>
29 <h3>Explanation</h3>
31 <p>Now let's find how many multiples of 77 are less than 500.</p>
30 <p>Now let's find how many multiples of 77 are less than 500.</p>
32 <p>500/77 = 6.49</p>
31 <p>500/77 = 6.49</p>
33 <p>There are 6 common multiples 77,154,231,308,385,462.</p>
32 <p>There are 6 common multiples 77,154,231,308,385,462.</p>
34 <p>There are 6 common multiples of 7 and 11 below 500, which are 77,154,231,308,385, and 462. </p>
33 <p>There are 6 common multiples of 7 and 11 below 500, which are 77,154,231,308,385, and 462. </p>
35 <p>Well explained 👍</p>
34 <p>Well explained 👍</p>
36 <h3>Problem 2</h3>
35 <h3>Problem 2</h3>
37 <p>Solve the following expression using LCM of 7 and 11: 5/7 + 3/11</p>
36 <p>Solve the following expression using LCM of 7 and 11: 5/7 + 3/11</p>
38 <p>Okay, lets begin</p>
37 <p>Okay, lets begin</p>
39 <p>The sum of 5/7 and 3/11 is 76/77. </p>
38 <p>The sum of 5/7 and 3/11 is 76/77. </p>
40 <h3>Explanation</h3>
39 <h3>Explanation</h3>
41 <p>LCM(7,11)=77</p>
40 <p>LCM(7,11)=77</p>
42 <p>5/7 = 55/77 , 3/11=21/77</p>
41 <p>5/7 = 55/77 , 3/11=21/77</p>
43 <p>Add the fractions:</p>
42 <p>Add the fractions:</p>
44 <p>55/77 + 21/77 = 76/77</p>
43 <p>55/77 + 21/77 = 76/77</p>
45 <p>The sum of 5/7 and 3/11 is 76/77. </p>
44 <p>The sum of 5/7 and 3/11 is 76/77. </p>
46 <p>Well explained 👍</p>
45 <p>Well explained 👍</p>
47 <h3>Problem 3</h3>
46 <h3>Problem 3</h3>
48 <p>A clock chimes every 7 minutes, and a bell rings every 11 minutes. How many times will they chime together in 5 hours?</p>
47 <p>A clock chimes every 7 minutes, and a bell rings every 11 minutes. How many times will they chime together in 5 hours?</p>
49 <p>Okay, lets begin</p>
48 <p>Okay, lets begin</p>
50 <p>The clock and bell will chime together 3 times in 5 hours. </p>
49 <p>The clock and bell will chime together 3 times in 5 hours. </p>
51 <h3>Explanation</h3>
50 <h3>Explanation</h3>
52 <p>Convert 5 hours to minutes:</p>
51 <p>Convert 5 hours to minutes:</p>
53 <p>5 × 60 = 300 minutes</p>
52 <p>5 × 60 = 300 minutes</p>
54 <p>The LCM of 7 and 11 is 77 minutes.</p>
53 <p>The LCM of 7 and 11 is 77 minutes.</p>
55 <p>Divide : 300/77 = 3.89</p>
54 <p>Divide : 300/77 = 3.89</p>
56 <p>Approximately, they will chime together 3 times.</p>
55 <p>Approximately, they will chime together 3 times.</p>
57 <p>The clock and bell will chime together 3 times in 5 hours. </p>
56 <p>The clock and bell will chime together 3 times in 5 hours. </p>
58 <p>Well explained 👍</p>
57 <p>Well explained 👍</p>
59 <h2>FAQ’s on LCM of 7 and 11</h2>
58 <h2>FAQ’s on LCM of 7 and 11</h2>
60 <h3>1.What is the easy trick to find the divisibility of 7 ?</h3>
59 <h3>1.What is the easy trick to find the divisibility of 7 ?</h3>
61 <p>To find the divisibility of 7 we remove the last digit of the number, now<a>square</a>it, and then subtract it from the number left. If the number is zero or a multiple of 7.</p>
60 <p>To find the divisibility of 7 we remove the last digit of the number, now<a>square</a>it, and then subtract it from the number left. If the number is zero or a multiple of 7.</p>
62 <h3>2.Is 7 11 13 divisible?</h3>
61 <h3>2.Is 7 11 13 divisible?</h3>
63 <p>Multiply 7 × 11 × 13 we get 1001 and if we take any three-digit number we get a six-digit number where the 3-digit number repeats. So the original number will be divisible by 1001 or 7,11 and 13. </p>
62 <p>Multiply 7 × 11 × 13 we get 1001 and if we take any three-digit number we get a six-digit number where the 3-digit number repeats. So the original number will be divisible by 1001 or 7,11 and 13. </p>
64 <h3>3.Is 333 a prime number ?</h3>
63 <h3>3.Is 333 a prime number ?</h3>
65 <p> 333 is a<a>composite number</a>, as it has factors more than 2. 333 is divisible by 1,3,9,9,37,111,333.</p>
64 <p> 333 is a<a>composite number</a>, as it has factors more than 2. 333 is divisible by 1,3,9,9,37,111,333.</p>
66 <h3>4.Is 5,12,13 a right triangle?</h3>
65 <h3>4.Is 5,12,13 a right triangle?</h3>
67 <p> Yes, 5 12 and 13 make a right triangle. We can even refer to it as Pythagorean triplets, where 52 and 122 are equal to 132. </p>
66 <p> Yes, 5 12 and 13 make a right triangle. We can even refer to it as Pythagorean triplets, where 52 and 122 are equal to 132. </p>
68 <h2>Important glossaries for LCM of 7 and 11</h2>
67 <h2>Important glossaries for LCM of 7 and 11</h2>
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>
68 <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>
70 </ul><ul><li><strong>Even Number:</strong>A natural number is divisible by 2. For example, 2,4,68,10 etc.</li>
69 </ul><ul><li><strong>Even Number:</strong>A natural number is divisible by 2. For example, 2,4,68,10 etc.</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>
70 </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>
72 </ul><p>What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math</p>
71 </ul><p>What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math</p>
73 <p>▶</p>
72 <p>▶</p>
74 <h2>Hiralee Lalitkumar Makwana</h2>
73 <h2>Hiralee Lalitkumar Makwana</h2>
75 <h3>About the Author</h3>
74 <h3>About the Author</h3>
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>
75 <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>
77 <h3>Fun Fact</h3>
76 <h3>Fun Fact</h3>
78 <p>: She loves to read number jokes and games.</p>
77 <p>: She loves to read number jokes and games.</p>