Least Common Multiple of 255, 306, 74

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 255, 306, 74 i.e. 56610 smallest integer divisible by all numbers.

Least common multiple (LCM) of 255, 306, 74 is 56610.

LCM(255, 306, 74) = 56610

LCM of 255, 306, 74

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 255,306,74

Least Common Multiple (LCM) of 255,306,74 is 56610

2 255, 306, 74
3 255, 153, 37
17 85, 51, 37
5, 3, 37

∴ So the LCM of the given numbers is 2 x 3 x 17 x 5 x 3 x 37 = 56610

Least Common Multiple of 255,306,74 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 255,306,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(255,306,74) = 1

common factors(in case of two or more numbers have common factors) = 102

GCF(255,306,74) x common factors =1 x 102 = 102

LCM(255,306,74) = ( 255 × 306 × 74 ) / 102

LCM(255,306,74) = 5774220 / 102

LCM(255,306,74) = 56610

∴ Least Common Multiple of 255,306,74 is 56610

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 255, 306, 74

1. What is the LCM of 255, 306, 74?

Answer: LCM of 255, 306, 74 is 56610.

2. What are the Factors of 56610?

Answer: Factors of 56610 are . There are integers that are factors of 56610

3. How to Find the LCM of 255, 306, 74 ?

Least Common Multiple of 255, 306, 74.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(255, 306, 74) = 2 x 3 x 3 x 5 x 17 x 37 = 56610.