Least Common Multiple of 256, 531, 428, 174

Q: How to Find the LCM of 256, 531, 428, 174 ?

Least Common Multiple of 256, 531, 428, 174 = 421809408 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(256, 531, 428, 174) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 29 x 59 x 107 = 421809408.

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 256, 531, 428, 174 i.e. 421809408 smallest integer divisible by all numbers.

Least common multiple (LCM) of 256, 531, 428, 174 is 421809408.

LCM(256, 531, 428, 174) = 421809408

LCM of 256, 531, 428, 174

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

Least Common Multiple of 256, 531, 428, 174 by common division method
Least Common Multiple of 256, 531, 428, 174 with GCF Formula

Least Common Multiple of 256,531,428,174

Least Common Multiple (LCM) of 256,531,428,174 is 421809408

2	256, 531, 428, 174
2	128, 531, 214, 87
3	64, 531, 107, 87
	64, 177, 107, 29

∴ So the LCM of the given numbers is 2 x 2 x 3 x 64 x 177 x 107 x 29 = 421809408

Least Common Multiple of 256,531,428,174 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 256,531,428,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(256,531,428,174) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(256,531,428,174) x common factors =1 x 24 = 24

LCM(256,531,428,174) = ( 256 × 531 × 428 × 174 ) / 24

LCM(256,531,428,174) = 10123425792 / 24

LCM(256,531,428,174) = 421809408

∴ Least Common Multiple of 256,531,428,174 is 421809408

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 256, 531, 428, 174

1. What is the LCM of 256, 531, 428, 174?

Answer: LCM of 256, 531, 428, 174 is 421809408.

2. What are the Factors of 421809408?

Answer: Factors of 421809408 are . There are integers that are factors of 421809408

3. How to Find the LCM of 256, 531, 428, 174 ?

Least Common Multiple of 256, 531, 428, 174.

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(256, 531, 428, 174) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 29 x 59 x 107 = 421809408.