Least Common Multiple of 296, 5880

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 296, 5880 i.e. 217560 smallest integer divisible by all numbers.

Least common multiple (LCM) of 296, 5880 is 217560.

LCM(296, 5880) = 217560

LCM of 296, 5880

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

LCM of:

Least Common Multiple of 296,5880

Least Common Multiple (LCM) of 296,5880 is 217560

2 296, 5880
2 148, 2940
2 74, 1470
37, 735

∴ So the LCM of the given numbers is 2 x 2 x 2 x 37 x 735 = 217560

Least Common Multiple of 296,5880 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 296,5880 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(296,5880) = 8

common factors(in case of two or more numbers have common factors) = 1

GCF(296,5880) x common factors =8 x 1 = 8

LCM(296,5880) = ( 296 × 5880 ) / 8

LCM(296,5880) = 1740480 / 8

LCM(296,5880) = 217560

∴ Least Common Multiple of 296,5880 is 217560

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 296, 5880

1. What is the LCM of 296, 5880?

Answer: LCM of 296, 5880 is 217560.

2. What are the Factors of 217560?

Answer: Factors of 217560 are . There are integers that are factors of 217560

3. How to Find the LCM of 296, 5880 ?

Least Common Multiple of 296, 5880.

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(296, 5880) = 2 x 2 x 2 x 3 x 5 x 7 x 7 x 37 = 217560.