LCM of 10 and 11

LCM of 10 and 11 is 110. LCM represents the least common factor or multiple of any two or more given integers. The article LCM of Two Numbers is crafted by experts with the intention to help students clear their doubts by offering an in-depth understanding of the LCM concept. Solving the problems by referring to this article enable students to develop skills required to score good marks in exams. Let us learn how to verify the least common multiple of 10 and 11 accurately in this article.

What is LCM of 10 and 11?

The Least Common Multiple of 10 and 11 is 110.

lcm of 10 and 11

How to Find LCM of 10 and 11?

LCM of 10 and 11 can be determined using three methods:

  • Prime Factorisation
  • Division method
  • Listing the multiples

LCM of 10 and 11 Using Prime Factorisation Method

In the prime factorisation method, LCM of 10 and 11 can be obtained by multiplying prime factors raised to their respective highest power.

10 = 2 × 5

11 = 11

LCM (10, 11) = 2 × 5 × 11 = 110

LCM of 10 and 11 Using Division Method

In the division method, we divide the numbers 10 and 11 by their prime factors until we get the result as one in the complete row to find their LCM. The product of these divisors depicts the least common multiple of 10 and 11.

2 10 11
5 5 11
11 1 11
x 1 1

No more further division can be done.

Hence, LCM (10, 11) = 2 × 5 × 11 = 110

LCM of 10 and 11 Using Listing the Multiples

Here, we can find the LCM of 10 and 11 by writing the multiples of 10 and 11. The multiples of 10 and 11 are given below.

Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, …….

Multiples of 11: 11, 22, 33, 44, 55, 66, 77, 88, 99, 110, …………

LCM (10, 11) = 110

Related Articles

Least Common Multiple (LCM)

HCF and LCM

Prime Factorization and Division Method for LCM and HCF

LCM Calculator

LCM with Examples

LCM Formula

Video Lesson on Applications of LCM

Solved Examples 

Q. 1: What is the smallest number that is divisible by both 10 and 11?

Solution: 110 is the smallest number that is divisible by both 10 and 11.

 

Q. 2: What is the LCM of 1, 10 and 11?

Solution: The LCM of 1, 10, and 11 is 110. 

Frequently Asked Questions on LCM of 10 and 11

Q1

What is the LCM of 10 and 11?

The LCM of 10 and 11 is 110.
Q2

Is the LCM of 10 and 11 the same as the HCF of 10 and 11?

No. The LCM of 10 and 11 is 110 and the HCF of 10 and 11 is 1.
Q3

Is 120 the LCM of 10 and 11?

No. The LCM of 10 and 11 is 110.
Q4

Calculate the GCF if the LCM of 10 and 11 is 110.

LCM × GCF = 10 × 11

Given

LCM = 110

110 × GCF = 10 × 11

GCF = 1

Hence the GCF is 1

Q5

List the first five multiples of 10 and 11.

The first five multiples of 10 and 11 are as follows:

Multiples of 10: 10, 20, 30, 40 and 50

Multiples of 11: 11, 22, 33, 44 and 55

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