Least Common Multiple of 642, 252, 346, 456

Q: How to Find the LCM of 642, 252, 346, 456 ?

Least Common Multiple of 642, 252, 346, 456 = 177261336 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(642, 252, 346, 456) = 2 x 2 x 2 x 3 x 3 x 7 x 19 x 107 x 173 = 177261336.

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 642, 252, 346, 456 i.e. 177261336 smallest integer divisible by all numbers.

Least common multiple (LCM) of 642, 252, 346, 456 is 177261336.

LCM(642, 252, 346, 456) = 177261336

LCM of 642, 252, 346, 456

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

Least Common Multiple of 642, 252, 346, 456 by common division method
Least Common Multiple of 642, 252, 346, 456 with GCF Formula

Least Common Multiple of 642,252,346,456

Least Common Multiple (LCM) of 642,252,346,456 is 177261336

2	642, 252, 346, 456
2	321, 126, 173, 228
3	321, 63, 173, 114
	107, 21, 173, 38

∴ So the LCM of the given numbers is 2 x 2 x 3 x 107 x 21 x 173 x 38 = 177261336

Least Common Multiple of 642,252,346,456 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 642,252,346,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(642,252,346,456) = 2

common factors(in case of two or more numbers have common factors) = 72

GCF(642,252,346,456) x common factors =2 x 72 = 144

LCM(642,252,346,456) = ( 642 × 252 × 346 × 456 ) / 144

LCM(642,252,346,456) = 25525632384 / 144

LCM(642,252,346,456) = 177261336

∴ Least Common Multiple of 642,252,346,456 is 177261336

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 642, 252, 346, 456

1. What is the LCM of 642, 252, 346, 456?

Answer: LCM of 642, 252, 346, 456 is 177261336.

2. What are the Factors of 177261336?

Answer: Factors of 177261336 are . There are integers that are factors of 177261336

3. How to Find the LCM of 642, 252, 346, 456 ?

Least Common Multiple of 642, 252, 346, 456.

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(642, 252, 346, 456) = 2 x 2 x 2 x 3 x 3 x 7 x 19 x 107 x 173 = 177261336.