Least Common Multiple of 91/762, 92/314, 156/408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/762, 92/314, 156/408 quickly i.e. 12558 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/762, 92/314, 156/408 is 12558.

LCM(91/762, 92/314, 156/408) = 12558

LCM of 91/762, 92/314, 156/408

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 91/762,92/314,156/408

Given numbers are 91/762,92/314,156/408

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 91,92,156

Least Common Multiple of Numerators i.e. LCM of 91,92,156 is 25116.

GCF of Denominators means GCF of 762,314,408 as per the given fractions.

GCF of 762,314,408 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,92,156

LCM of Fractions 91/762,92/314,156/408 is 12558

2 91, 92, 156
2 91, 46, 78
13 91, 23, 39
7, 23, 3

∴ So the LCM of the given numbers is 2 x 2 x 13 x 7 x 23 x 3 = 25116

Least Common Multiple of 91,92,156 with GCF Formula

Least Common Multiple of 91,92,156 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 91,92,156 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,92,156) = 1

common factors(in case of two or more numbers have common factors) = 52

GCF(91,92,156) x common factors =1 x 52 = 52

LCM(91,92,156) = ( 91 × 92 × 156 ) / 52

LCM(91,92,156) = 1306032 / 52

LCM(91,92,156) = 25116


Lets's calculate GCF of 762,314,408

2 762, 314, 408
381, 157, 204

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25116/2

Therefore the LCM of Fractions 91/762,92/314,156/408 is 12558

Greatest Common Factor of 762,314,408 By Matching Biggest Common Factor Method

Greatest Common Factor of 762,314,408 By Matching Biggest Common Factor Method

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Greatest Common Factor

We found the factors 762,314,408 . The biggest common factor number is the GCF number.
So the greatest common factor 762,314,408 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 91/762, 92/314, 156/408

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 91/762, 92/314, 156/408?

Answer: LCM of Numerators as per given numbers 91/762, 92/314, 156/408 is

LCM of Numerators i.e. for 91,92,156 is 25116

GCF of denominators i.e. for 762,314,408 is 2.

Thus, LCM of Fractions is 12558.Finally, LCM of Fractions for 91/762, 92/314, 156/408 is 12558.