Least Common Multiple of 56/221, 90/156, 640/960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/221, 90/156, 640/960 quickly i.e. 40320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/221, 90/156, 640/960 is 40320.

LCM(56/221, 90/156, 640/960) = 40320

LCM of 56/221, 90/156, 640/960

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 56/221,90/156,640/960

Given numbers are 56/221,90/156,640/960

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 56,90,640

Least Common Multiple of Numerators i.e. LCM of 56,90,640 is 40320.

GCF of Denominators means GCF of 221,156,960 as per the given fractions.

GCF of 221,156,960 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,90,640

LCM of Fractions 56/221,90/156,640/960 is 40320

2 56, 90, 640
2 28, 45, 320
2 14, 45, 160
5 7, 45, 80
7, 9, 16

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 7 x 9 x 16 = 40320

Least Common Multiple of 56,90,640 with GCF Formula

Least Common Multiple of 56,90,640 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 56,90,640 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,90,640) = 2

common factors(in case of two or more numbers have common factors) = 40

GCF(56,90,640) x common factors =2 x 40 = 80

LCM(56,90,640) = ( 56 × 90 × 640 ) / 80

LCM(56,90,640) = 3225600 / 80

LCM(56,90,640) = 40320


Lets's calculate GCF of 221,156,960

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40320/1

Therefore the LCM of Fractions 56/221,90/156,640/960 is 40320

Greatest Common Factor of 221,156,960 By Matching Biggest Common Factor Method

Greatest Common Factor of 221,156,960 By Matching Biggest Common Factor Method

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Greatest Common Factor

We found the factors 221,156,960 . The biggest common factor number is the GCF number.
So the greatest common factor 221,156,960 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 56/221, 90/156, 640/960

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 56/221, 90/156, 640/960?

Answer: LCM of Numerators as per given numbers 56/221, 90/156, 640/960 is

LCM of Numerators i.e. for 56,90,640 is 40320

GCF of denominators i.e. for 221,156,960 is 1.

Thus, LCM of Fractions is 40320.Finally, LCM of Fractions for 56/221, 90/156, 640/960 is 40320.