Least Common Multiple of 56/80, 596/35, 360/180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/80, 596/35, 360/180 quickly i.e. 75096 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/80, 596/35, 360/180 is 75096.

LCM(56/80, 596/35, 360/180) = 75096

LCM of 56/80, 596/35, 360/180

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 56/80,596/35,360/180

Given numbers are 56/80,596/35,360/180

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 56,596,360

Least Common Multiple of Numerators i.e. LCM of 56,596,360 is 375480.

GCF of Denominators means GCF of 80,35,180 as per the given fractions.

GCF of 80,35,180 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,596,360

LCM of Fractions 56/80,596/35,360/180 is 75096

2 56, 596, 360
2 28, 298, 180
2 14, 149, 90
7, 149, 45

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 149 x 45 = 375480

Least Common Multiple of 56,596,360 with GCF Formula

Least Common Multiple of 56,596,360 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 56,596,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,596,360) = 4

common factors(in case of two or more numbers have common factors) = 8

GCF(56,596,360) x common factors =4 x 8 = 32

LCM(56,596,360) = ( 56 × 596 × 360 ) / 32

LCM(56,596,360) = 12015360 / 32

LCM(56,596,360) = 375480


Lets's calculate GCF of 80,35,180

5 80, 35, 180
16, 7, 36

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 375480/5

Therefore the LCM of Fractions 56/80,596/35,360/180 is 75096

Greatest Common Factor of 80,35,180 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,35,180 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Greatest Common Factor

We found the factors 80,35,180 . The biggest common factor number is the GCF number.
So the greatest common factor 80,35,180 is 5.


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 56/80, 596/35, 360/180

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 56/80, 596/35, 360/180?

Answer: LCM of Numerators as per given numbers 56/80, 596/35, 360/180 is

LCM of Numerators i.e. for 56,596,360 is 375480

GCF of denominators i.e. for 80,35,180 is 5.

Thus, LCM of Fractions is 75096.Finally, LCM of Fractions for 56/80, 596/35, 360/180 is 75096.