Least Common Multiple of 256, 480, 975

Q: How to Find the LCM of 256, 480, 975 ?

Least Common Multiple of 256, 480, 975 = 249600 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, 480, 975) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 13 = 249600.

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, 480, 975 i.e. 249600 smallest integer divisible by all numbers.

Least common multiple (LCM) of 256, 480, 975 is 249600.

LCM(256, 480, 975) = 249600

LCM of 256, 480, 975

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

Least Common Multiple of 256, 480, 975 by common division method
Least Common Multiple of 256, 480, 975 with GCF Formula

Least Common Multiple of 256,480,975

Least Common Multiple (LCM) of 256,480,975 is 249600

2	256, 480, 975
2	128, 240, 975
2	64, 120, 975
2	32, 60, 975
2	16, 30, 975
3	8, 15, 975
5	8, 5, 325
	8, 1, 65

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 5 x 8 x 1 x 65 = 249600

Least Common Multiple of 256,480,975 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 256,480,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(256,480,975) = 1

common factors(in case of two or more numbers have common factors) = 480

GCF(256,480,975) x common factors =1 x 480 = 480

LCM(256,480,975) = ( 256 × 480 × 975 ) / 480

LCM(256,480,975) = 119808000 / 480

LCM(256,480,975) = 249600

∴ Least Common Multiple of 256,480,975 is 249600

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, 480, 975

1. What is the LCM of 256, 480, 975?

Answer: LCM of 256, 480, 975 is 249600.

2. What are the Factors of 249600?

Answer: Factors of 249600 are . There are integers that are factors of 249600

3. How to Find the LCM of 256, 480, 975 ?

Least Common Multiple of 256, 480, 975.

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, 480, 975) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 13 = 249600.