Least Common Multiple of 74, 296, 380

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 74, 296, 380 i.e. 28120 smallest integer divisible by all numbers.

Least common multiple (LCM) of 74, 296, 380 is 28120.

LCM(74, 296, 380) = 28120

LCM of 74, 296, 380

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

LCM of:

Least Common Multiple of 74,296,380

Least Common Multiple (LCM) of 74,296,380 is 28120

2 74, 296, 380
2 37, 148, 190
37 37, 74, 95
1, 2, 95

∴ So the LCM of the given numbers is 2 x 2 x 37 x 1 x 2 x 95 = 28120

Least Common Multiple of 74,296,380 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 74,296,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,296,380) = 2

common factors(in case of two or more numbers have common factors) = 148

GCF(74,296,380) x common factors =2 x 148 = 296

LCM(74,296,380) = ( 74 × 296 × 380 ) / 296

LCM(74,296,380) = 8323520 / 296

LCM(74,296,380) = 28120

∴ Least Common Multiple of 74,296,380 is 28120

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 74, 296, 380

1. What is the LCM of 74, 296, 380?

Answer: LCM of 74, 296, 380 is 28120.

2. What are the Factors of 28120?

Answer: Factors of 28120 are . There are integers that are factors of 28120

3. How to Find the LCM of 74, 296, 380 ?

Least Common Multiple of 74, 296, 380.

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(74, 296, 380) = 2 x 2 x 2 x 5 x 19 x 37 = 28120.