Least Common Multiple of 296, 627, 409, 814

Q: How to Find the LCM of 296, 627, 409, 814 ?

Least Common Multiple of 296, 627, 409, 814 = 75907128 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, 627, 409, 814) = 2 x 2 x 2 x 3 x 11 x 19 x 37 x 409 = 75907128.

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, 627, 409, 814 i.e. 75907128 smallest integer divisible by all numbers.

Least common multiple (LCM) of 296, 627, 409, 814 is 75907128.

LCM(296, 627, 409, 814) = 75907128

LCM of 296, 627, 409, 814

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

Least Common Multiple of 296, 627, 409, 814 by common division method
Least Common Multiple of 296, 627, 409, 814 with GCF Formula

Least Common Multiple of 296,627,409,814

Least Common Multiple (LCM) of 296,627,409,814 is 75907128

2	296, 627, 409, 814
11	148, 627, 409, 407
37	148, 57, 409, 37
	4, 57, 409, 1

∴ So the LCM of the given numbers is 2 x 11 x 37 x 4 x 57 x 409 x 1 = 75907128

Least Common Multiple of 296,627,409,814 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 296,627,409,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(296,627,409,814) = 1

common factors(in case of two or more numbers have common factors) = 814

GCF(296,627,409,814) x common factors =1 x 814 = 814

LCM(296,627,409,814) = ( 296 × 627 × 409 × 814 ) / 814

LCM(296,627,409,814) = 61788402192 / 814

LCM(296,627,409,814) = 75907128

∴ Least Common Multiple of 296,627,409,814 is 75907128

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 296, 627, 409, 814

1. What is the LCM of 296, 627, 409, 814?

Answer: LCM of 296, 627, 409, 814 is 75907128.

2. What are the Factors of 75907128?

Answer: Factors of 75907128 are . There are integers that are factors of 75907128

3. How to Find the LCM of 296, 627, 409, 814 ?

Least Common Multiple of 296, 627, 409, 814.

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, 627, 409, 814) = 2 x 2 x 2 x 3 x 11 x 19 x 37 x 409 = 75907128.