Least Common Multiple of 6956, 8880

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 6956, 8880 i.e. 417360 smallest integer divisible by all numbers.

Least common multiple (LCM) of 6956, 8880 is 417360.

LCM(6956, 8880) = 417360

LCM of 6956, 8880

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

LCM of:

Least Common Multiple of 6956,8880

Least Common Multiple (LCM) of 6956,8880 is 417360

2 6956, 8880
2 3478, 4440
37 1739, 2220
47, 60

∴ So the LCM of the given numbers is 2 x 2 x 37 x 47 x 60 = 417360

Least Common Multiple of 6956,8880 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 6956,8880 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6956,8880) = 148

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

GCF(6956,8880) x common factors =148 x 1 = 148

LCM(6956,8880) = ( 6956 × 8880 ) / 148

LCM(6956,8880) = 61769280 / 148

LCM(6956,8880) = 417360

∴ Least Common Multiple of 6956,8880 is 417360

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 6956, 8880

1. What is the LCM of 6956, 8880?

Answer: LCM of 6956, 8880 is 417360.

2. What are the Factors of 417360?

Answer: Factors of 417360 are . There are integers that are factors of 417360

3. How to Find the LCM of 6956, 8880 ?

Least Common Multiple of 6956, 8880.

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(6956, 8880) = 2 x 2 x 2 x 2 x 3 x 5 x 37 x 47 = 417360.