Least Common Multiple of 352, 480, 245, 256

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 352, 480, 245, 256 i.e. 2069760 smallest integer divisible by all numbers.

Least common multiple (LCM) of 352, 480, 245, 256 is 2069760.

LCM(352, 480, 245, 256) = 2069760

LCM of 352, 480, 245, 256

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

LCM of:

Least Common Multiple of 352,480,245,256

Least Common Multiple (LCM) of 352,480,245,256 is 2069760

2 352, 480, 245, 256
2 176, 240, 245, 128
2 88, 120, 245, 64
2 44, 60, 245, 32
2 22, 30, 245, 16
5 11, 15, 245, 8
11, 3, 49, 8

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 5 x 11 x 3 x 49 x 8 = 2069760

Least Common Multiple of 352,480,245,256 with GCF Formula

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

We need to calculate greatest common factor of 352,480,245,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(352,480,245,256) = 1

common factors(in case of two or more numbers have common factors) = 5120

GCF(352,480,245,256) x common factors =1 x 5120 = 5120

LCM(352,480,245,256) = ( 352 × 480 × 245 × 256 ) / 5120

LCM(352,480,245,256) = 10597171200 / 5120

LCM(352,480,245,256) = 2069760

∴ Least Common Multiple of 352,480,245,256 is 2069760

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 352, 480, 245, 256

1. What is the LCM of 352, 480, 245, 256?

Answer: LCM of 352, 480, 245, 256 is 2069760.

2. What are the Factors of 2069760?

Answer: Factors of 2069760 are . There are integers that are factors of 2069760

3. How to Find the LCM of 352, 480, 245, 256 ?

Least Common Multiple of 352, 480, 245, 256.

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(352, 480, 245, 256) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 7 x 11 = 2069760.