LCM of 7 and 11
2026-02-28 10:40 Diff
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Last updated on August 5, 2025

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.

What is the LCM of 7 and 11

The LCM of 7 and 11 is the lowest number that divides both 7 and 11 without leaving any remainder. The LCM of 7 and 11 is 77.
 

How to find the LCM of 7 and 11?

LCM of 7 and 11 using Division method:

In the division method, we divide both the numbers by the lowest possible number until we get 1 for both numbers.

7 divides 7 leaving 1


11 divides 11 leaving 1


LCM = 7 × 11= 77.
 

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LCM of 7 and 11 using Listing multiples:

We write the multiples of both numbers till we find the common one.


Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77…


Multiples of 11: 11, 22, 33, 44, 55, 66, 77…

The common multiple is 77. So, the LCM of 7 and 11 is 77.
 

LCM of 7 and 11 using prime factorization:

We part each number into divisors and select the highest powers of all the prime factors.

7= 7


11= 11

LCM = 7 × 11= 77.

Common Mistakes and How to Avoid Them in LCM of 7 and 11

While solving problems on LCM, children are likely to make common mistakes, here are a few mistakes and how to avoid them.
 

Problem 1

How many common multiples do 7 and 11 have below 500.

Okay, lets begin

The LCM of 7 and 11 is 77.
 

Explanation

Now let's find how many multiples of 77 are less than 500.


500/77 = 6.49


There are 6 common multiples 77,154,231,308,385,462.


There are 6 common multiples of 7 and 11 below 500, which are 77,154,231,308,385, and 462.
 

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Problem 2

Solve the following expression using LCM of 7 and 11: 5/7 + 3/11

Okay, lets begin

The sum of  5/7 and 3/11 is 76/77.
 

Explanation

LCM(7,11)=77

5/7 = 55/77 , 3/11=21/77

Add the fractions:


55/77 + 21/77 = 76/77


The sum of  5/7 and 3/11 is 76/77.
 

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Problem 3

A clock chimes every 7 minutes, and a bell rings every 11 minutes. How many times will they chime together in 5 hours?

Okay, lets begin

The clock and bell will chime together 3 times in 5 hours.
 

Explanation

Convert 5 hours to minutes:


5 × 60 = 300 minutes


The LCM of 7 and 11 is 77 minutes.


Divide : 300/77 = 3.89


Approximately, they will chime together 3 times.


The clock and bell will chime together 3 times in 5 hours.
 

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FAQ’s on LCM of 7 and 11

1.What is the easy trick to find the divisibility of 7 ?

To find the divisibility of 7 we remove the last digit of the number, now square it, and then subtract it from the number left. If the number is zero or a multiple of 7.

2.Is 7 11 13 divisible?

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.
 

3.Is 333 a prime number ?

 333 is a composite number, as it has factors more than 2. 333 is divisible by 1,3,9,9,37,111,333.

4.Is 5,12,13 a right triangle?

 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.
 

Important glossaries for LCM of 7 and 11

  • Co-prime: two numbers that have only one number that is 1 as their common factor.  For example, 8 and 15 are co-prime numbers.
  • Even Number: A natural number is divisible by 2. For example, 2,4,68,10 etc.
  • Prime Factorization: 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.

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Hiralee Lalitkumar Makwana

About the Author

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.

Fun Fact

: She loves to read number jokes and games.