How to Find LCM of 6 and 10

To find LCM of 6 and 10, we use three different methods that include,

• LCM of 6 and 10 by Prime Factorization
• LCM of 6 and 10 by Listing Multiple
• LCM of 6 and 10 by Long Division

LCM of 6 and 10 by the method of Prime Factorization

Prime factorization involves breaking down each number into its prime factors and identifying the common factors to calculate the LCM efficiently.

• Prime Factorization of 6: 2×3
• Prime Factorization of 10: 2×5

LCM is obtained by multiplying the highest powers of prime factors: 2×3×5 = 30

Therefore, LCM of 6 and 10 by prime factorization is 30.

Learn more about, Prime Factorization Method

LCM of 6 and 10 by the method of Listing Multiples

Listing multiples is another approach to finding the LCM. Identify the multiples of each number and determine the smallest value they have in common.

• Multiples of 6 are: 6, 12, 18, 24, 30…
• Multiples of 10 are: 10, 20, 30, 40…

Here, 30 is the first common multiple of both 6 and 10.

Therefore, LCM of 6 and 10 by listing multiples is 30.

LCM of 6 and 10 by the method of Long Division

Long division is a systematic method for finding the LCM. Divide multiples of the larger number until a common multiple is reached, providing the LCM. We divide the numbers 6 and 10 by their prime factors to determine their LCM. The product of these divisors shows the least common multiple of 6 and 10 as shown below:

LCM of 6 and 10 is 30. LCM or Least Common Multiple is the smallest multiple of both numbers. The concept of LCM is very important and is used in various problems of mathematics. In this article, we will discuss the concept of LCM and specifically explore its calculation for the numbers 10 and 6.