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.
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
Prime Factorization and Division Method for LCM and HCF
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
What is the LCM of 10 and 11?
Is the LCM of 10 and 11 the same as the HCF of 10 and 11?
Is 120 the LCM of 10 and 11?
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
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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