# what is the least common multiple of 4 and 10

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LCM of 4 and 10

LCM of 4 and 10 is the smallest quantity amongst improve the outline widespread multiples of 4 and 10. The primary few multiples of 4 and 10 are (4, 8, 12, 16, 20, 24, . . . . ) and (10, 20, 30, 40, 50, 60, 70, . . . ) respectively. There are 3 generally used strategies to search out LCM of 4 and 10 – by itemizing multiples, by division technique, and by prime factorization.

1. LCM of 4 and 10 2. Checklist of Strategies 3. Solved Examples 4. FAQs

reply: LCM of 4 and 10 is 20.

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The LCM of two non-zero integers, x(4) and y(10), is the smallest optimistic integer m(20) that’s divisible by each x(4) and y(10) with none the rest.

The strategies to search out the LCM of 4 and 10 are defined under.

• By Prime Factorization technique
• By Itemizing Multiples
• By Division technique

### LCM of 4 and 10 by Prime Factorization

Prime factorization of 4 and 10 is (2 × 2) = 22 and (2 × 5) = 21 × 51 respectively. The LCM of 4 and 10 may be obtained by multiplying prime components raised to their respective highest energy, means 22 × 51 = 20. Therefore, the LCM of 4 and 10 by prime factorization is 20.

### LCM of 4 and 10 by Itemizing Multiples

To calculate the LCM of 4 and 10 by itemizing out the widespread multiples, we are able to comply with the given under steps:

• Step 1: Checklist one pair multiples of 4 (4, 8, 12, 16, 20, 24, . . . ) and 10 (10, 20, 30, 40, 50, 60, 70, . . . . )
• Step 2: The widespread multiples from the multiples of 4 and 10 are 20, 40, . . .
• Step 3: The smallest widespread a number of of 4 and 10 is 20.

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∴ The least widespread a number of of 4 and 10 = 20.

### LCM of 4 and 10 by Division technique

To calculate the LCM of 4 and 10 by the division technique, we are going to divide the numbers(4, 10) by their prime components (ideally widespread). The product of those divisors offers the LCM of 4 and 10.

• Step 1: Discover the prime quantity that may be a issue of the smallest a minimum of one of many numbers, 4 and 10. Write this prime quantity(2) on the left of the given numbers(4 and 10), separated as per the ladder association.
• Step 2: suppose any of the given numbers (4, 10) is a a number of of two, divide it by 2 and write the quotient under it. Convey down any quantity that’s not invisible by the prime quantity.
• Step 3: Proceed the steps till solely 1s are left within the final row.

The LCM of 4 and 10 is the product of improve the outline prime numbers on the left, means LCM(4, 10) by division technique = 2 × 2 × 5 = 20.