Least Common Multiple of 91/95, 45/24, 767/156

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 91/95, 45/24, 767/156 quickly i.e. 241605 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/95, 45/24, 767/156 is 241605.

LCM(91/95, 45/24, 767/156) = 241605

LCM of 91/95, 45/24, 767/156

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 91/95,45/24,767/156

Given numbers are 91/95,45/24,767/156

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 91,45,767

Least Common Multiple of Numerators i.e. LCM of 91,45,767 is 241605.

GCF of Denominators means GCF of 95,24,156 as per the given fractions.

GCF of 95,24,156 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,45,767

LCM of Fractions 91/95,45/24,767/156 is 241605

13 91, 45, 767
7, 45, 59

∴ So the LCM of the given numbers is 13 x 7 x 45 x 59 = 241605

Least Common Multiple of 91,45,767 with GCF Formula

Least Common Multiple of 91,45,767 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 91,45,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,45,767) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(91,45,767) x common factors =1 x 13 = 13

LCM(91,45,767) = ( 91 × 45 × 767 ) / 13

LCM(91,45,767) = 3140865 / 13

LCM(91,45,767) = 241605


Lets's calculate GCF of 95,24,156

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 241605/1

Therefore the LCM of Fractions 91/95,45/24,767/156 is 241605

Greatest Common Factor of 95,24,156 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,24,156 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

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

Greatest Common Factor

We found the factors 95,24,156 . The biggest common factor number is the GCF number.
So the greatest common factor 95,24,156 is 1.


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Frequently Asked Questions on Fractional LCM of 91/95, 45/24, 767/156

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 91/95, 45/24, 767/156?

Answer: LCM of Numerators as per given numbers 91/95, 45/24, 767/156 is

LCM of Numerators i.e. for 91,45,767 is 241605

GCF of denominators i.e. for 95,24,156 is 1.

Thus, LCM of Fractions is 241605.Finally, LCM of Fractions for 91/95, 45/24, 767/156 is 241605.