Least Common Multiple of 408, 296, 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 408, 296, 74 i.e. 15096 smallest integer divisible by all numbers.

Least common multiple (LCM) of 408, 296, 74 is 15096.

LCM(408, 296, 74) = 15096

LCM of 408, 296, 74

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

LCM of:

Least Common Multiple of 408,296,74

Least Common Multiple (LCM) of 408,296,74 is 15096

2 408, 296, 74
2 204, 148, 37
2 102, 74, 37
37 51, 37, 37
51, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 37 x 51 x 1 x 1 = 15096

Least Common Multiple of 408,296,74 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 408,296,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(408,296,74) = 2

common factors(in case of two or more numbers have common factors) = 296

GCF(408,296,74) x common factors =2 x 296 = 592

LCM(408,296,74) = ( 408 × 296 × 74 ) / 592

LCM(408,296,74) = 8936832 / 592

LCM(408,296,74) = 15096

∴ Least Common Multiple of 408,296,74 is 15096

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 408, 296, 74

1. What is the LCM of 408, 296, 74?

Answer: LCM of 408, 296, 74 is 15096.

2. What are the Factors of 15096?

Answer: Factors of 15096 are . There are integers that are factors of 15096

3. How to Find the LCM of 408, 296, 74 ?

Least Common Multiple of 408, 296, 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(408, 296, 74) = 2 x 2 x 2 x 3 x 17 x 37 = 15096.