Least Common Multiple of 357, 432, 214

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 357, 432, 214 i.e. 5500656 smallest integer divisible by all numbers.

Least common multiple (LCM) of 357, 432, 214 is 5500656.

LCM(357, 432, 214) = 5500656

LCM of 357, 432, 214

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

LCM of:

Least Common Multiple of 357,432,214

Least Common Multiple (LCM) of 357,432,214 is 5500656

2 357, 432, 214
3 357, 216, 107
119, 72, 107

∴ So the LCM of the given numbers is 2 x 3 x 119 x 72 x 107 = 5500656

Least Common Multiple of 357,432,214 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 357,432,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(357,432,214) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(357,432,214) x common factors =1 x 6 = 6

LCM(357,432,214) = ( 357 × 432 × 214 ) / 6

LCM(357,432,214) = 33003936 / 6

LCM(357,432,214) = 5500656

∴ Least Common Multiple of 357,432,214 is 5500656

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 357, 432, 214

1. What is the LCM of 357, 432, 214?

Answer: LCM of 357, 432, 214 is 5500656.

2. What are the Factors of 5500656?

Answer: Factors of 5500656 are . There are integers that are factors of 5500656

3. How to Find the LCM of 357, 432, 214 ?

Least Common Multiple of 357, 432, 214.

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(357, 432, 214) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 x 17 x 107 = 5500656.