Least Common Multiple of 56/91, 84/20, 36/75, 77/527

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/91, 84/20, 36/75, 77/527 quickly i.e. 5544 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/91, 84/20, 36/75, 77/527 is 5544.

LCM(56/91, 84/20, 36/75, 77/527) = 5544

LCM of 56/91, 84/20, 36/75, 77/527

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 56/91,84/20,36/75,77/527

Given numbers are 56/91,84/20,36/75,77/527

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 56,84,36,77

Least Common Multiple of Numerators i.e. LCM of 56,84,36,77 is 5544.

GCF of Denominators means GCF of 91,20,75,527 as per the given fractions.

GCF of 91,20,75,527 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,84,36,77

LCM of Fractions 56/91,84/20,36/75,77/527 is 5544

2 56, 84, 36, 77
2 28, 42, 18, 77
3 14, 21, 9, 77
7 14, 7, 3, 77
2, 1, 3, 11

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 2 x 1 x 3 x 11 = 5544

Least Common Multiple of 56,84,36,77 with GCF Formula

Least Common Multiple of 56,84,36,77 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 56,84,36,77 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,84,36,77) = 1

common factors(in case of two or more numbers have common factors) = 2352

GCF(56,84,36,77) x common factors =1 x 2352 = 2352

LCM(56,84,36,77) = ( 56 × 84 × 36 × 77 ) / 2352

LCM(56,84,36,77) = 13039488 / 2352

LCM(56,84,36,77) = 5544


Lets's calculate GCF of 91,20,75,527

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5544/1

Therefore the LCM of Fractions 56/91,84/20,36/75,77/527 is 5544

Greatest Common Factor of 91,20,75,527 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,20,75,527 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 20

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

1,2,4,5,10,20

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 527

List of positive integer factors of 527 that divides 527 without a remainder.

1,17,31,527

Greatest Common Factor

We found the factors 91,20,75,527 . The biggest common factor number is the GCF number.
So the greatest common factor 91,20,75,527 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 56/91, 84/20, 36/75, 77/527

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 56/91, 84/20, 36/75, 77/527?

Answer: LCM of Numerators as per given numbers 56/91, 84/20, 36/75, 77/527 is

LCM of Numerators i.e. for 56,84,36,77 is 5544

GCF of denominators i.e. for 91,20,75,527 is 1.

Thus, LCM of Fractions is 5544.Finally, LCM of Fractions for 56/91, 84/20, 36/75, 77/527 is 5544.