Least Common Multiple of 91/70, 56/10, 43/60, 28/501

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/70, 56/10, 43/60, 28/501 quickly i.e. 31304 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/70, 56/10, 43/60, 28/501 is 31304.

LCM(91/70, 56/10, 43/60, 28/501) = 31304

LCM of 91/70, 56/10, 43/60, 28/501

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 91/70,56/10,43/60,28/501

Given numbers are 91/70,56/10,43/60,28/501

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 91,56,43,28

Least Common Multiple of Numerators i.e. LCM of 91,56,43,28 is 31304.

GCF of Denominators means GCF of 70,10,60,501 as per the given fractions.

GCF of 70,10,60,501 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,56,43,28

LCM of Fractions 91/70,56/10,43/60,28/501 is 31304

2 91, 56, 43, 28
2 91, 28, 43, 14
7 91, 7, 43, 14
13, 1, 43, 2

∴ So the LCM of the given numbers is 2 x 2 x 7 x 13 x 1 x 43 x 2 = 31304

Least Common Multiple of 91,56,43,28 with GCF Formula

Least Common Multiple of 91,56,43,28 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 91,56,43,28 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,56,43,28) = 1

common factors(in case of two or more numbers have common factors) = 196

GCF(91,56,43,28) x common factors =1 x 196 = 196

LCM(91,56,43,28) = ( 91 × 56 × 43 × 28 ) / 196

LCM(91,56,43,28) = 6135584 / 196

LCM(91,56,43,28) = 31304


Lets's calculate GCF of 70,10,60,501

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31304/1

Therefore the LCM of Fractions 91/70,56/10,43/60,28/501 is 31304

Greatest Common Factor of 70,10,60,501 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,10,60,501 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 501

List of positive integer factors of 501 that divides 501 without a remainder.

1,3,167,501

Greatest Common Factor

We found the factors 70,10,60,501 . The biggest common factor number is the GCF number.
So the greatest common factor 70,10,60,501 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 91/70, 56/10, 43/60, 28/501

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 91/70, 56/10, 43/60, 28/501?

Answer: LCM of Numerators as per given numbers 91/70, 56/10, 43/60, 28/501 is

LCM of Numerators i.e. for 91,56,43,28 is 31304

GCF of denominators i.e. for 70,10,60,501 is 1.

Thus, LCM of Fractions is 31304.Finally, LCM of Fractions for 91/70, 56/10, 43/60, 28/501 is 31304.