Least Common Multiple of 256, 748

Q: How to Find the LCM of 256, 748 ?

Least Common Multiple of 256, 748 = 47872 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, 748) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 11 x 17 = 47872.

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, 748 i.e. 47872 smallest integer divisible by all numbers.

Least common multiple (LCM) of 256, 748 is 47872.

LCM(256, 748) = 47872

LCM of 256, 748

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

Least Common Multiple of 256, 748 by common division method
Least Common Multiple of 256, 748 with GCF Formula

Least Common Multiple of 256,748

Least Common Multiple (LCM) of 256,748 is 47872

2	256, 748
2	128, 374
	64, 187

∴ So the LCM of the given numbers is 2 x 2 x 64 x 187 = 47872

Least Common Multiple of 256,748 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 256,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(256,748) = 4

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

GCF(256,748) x common factors =4 x 1 = 4

LCM(256,748) = ( 256 × 748 ) / 4

LCM(256,748) = 191488 / 4

LCM(256,748) = 47872

∴ Least Common Multiple of 256,748 is 47872

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 256, 748

1. What is the LCM of 256, 748?

Answer: LCM of 256, 748 is 47872.

2. What are the Factors of 47872?

Answer: Factors of 47872 are . There are integers that are factors of 47872

3. How to Find the LCM of 256, 748 ?

Least Common Multiple of 256, 748.

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, 748) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 11 x 17 = 47872.