Least Common Multiple of 91/56, 50/20, 115/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/56, 50/20, 115/870 quickly i.e. 52325 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/56, 50/20, 115/870 is 52325.

LCM(91/56, 50/20, 115/870) = 52325

LCM of 91/56, 50/20, 115/870

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 91/56,50/20,115/870

Given numbers are 91/56,50/20,115/870

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 91,50,115

Least Common Multiple of Numerators i.e. LCM of 91,50,115 is 104650.

GCF of Denominators means GCF of 56,20,870 as per the given fractions.

GCF of 56,20,870 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,50,115

LCM of Fractions 91/56,50/20,115/870 is 52325

5 91, 50, 115
91, 10, 23

∴ So the LCM of the given numbers is 5 x 91 x 10 x 23 = 104650

Least Common Multiple of 91,50,115 with GCF Formula

Least Common Multiple of 91,50,115 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 91,50,115 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,50,115) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(91,50,115) x common factors =1 x 5 = 5

LCM(91,50,115) = ( 91 × 50 × 115 ) / 5

LCM(91,50,115) = 523250 / 5

LCM(91,50,115) = 104650


Lets's calculate GCF of 56,20,870

2 56, 20, 870
28, 10, 435

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 104650/2

Therefore the LCM of Fractions 91/56,50/20,115/870 is 52325

Greatest Common Factor of 56,20,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,20,870 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 56,20,870 . The biggest common factor number is the GCF number.
So the greatest common factor 56,20,870 is 2.


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 91/56, 50/20, 115/870

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 91/56, 50/20, 115/870?

Answer: LCM of Numerators as per given numbers 91/56, 50/20, 115/870 is

LCM of Numerators i.e. for 91,50,115 is 104650

GCF of denominators i.e. for 56,20,870 is 2.

Thus, LCM of Fractions is 52325.Finally, LCM of Fractions for 91/56, 50/20, 115/870 is 52325.