Least Common Multiple of 91/63, 852/40, 312/906

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/63, 852/40, 312/906 quickly i.e. 155064 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/63, 852/40, 312/906 is 155064.

LCM(91/63, 852/40, 312/906) = 155064

LCM of 91/63, 852/40, 312/906

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 91/63,852/40,312/906

Given numbers are 91/63,852/40,312/906

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 91,852,312

Least Common Multiple of Numerators i.e. LCM of 91,852,312 is 155064.

GCF of Denominators means GCF of 63,40,906 as per the given fractions.

GCF of 63,40,906 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,852,312

LCM of Fractions 91/63,852/40,312/906 is 155064

2 91, 852, 312
2 91, 426, 156
3 91, 213, 78
13 91, 71, 26
7, 71, 2

∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 7 x 71 x 2 = 155064

Least Common Multiple of 91,852,312 with GCF Formula

Least Common Multiple of 91,852,312 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 91,852,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,852,312) = 1

common factors(in case of two or more numbers have common factors) = 156

GCF(91,852,312) x common factors =1 x 156 = 156

LCM(91,852,312) = ( 91 × 852 × 312 ) / 156

LCM(91,852,312) = 24189984 / 156

LCM(91,852,312) = 155064


Lets's calculate GCF of 63,40,906

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 155064/1

Therefore the LCM of Fractions 91/63,852/40,312/906 is 155064

Greatest Common Factor of 63,40,906 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,40,906 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 906

List of positive integer factors of 906 that divides 906 without a remainder.

1,2,3,6,151,302,453,906

Greatest Common Factor

We found the factors 63,40,906 . The biggest common factor number is the GCF number.
So the greatest common factor 63,40,906 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 91/63, 852/40, 312/906

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 91/63, 852/40, 312/906?

Answer: LCM of Numerators as per given numbers 91/63, 852/40, 312/906 is

LCM of Numerators i.e. for 91,852,312 is 155064

GCF of denominators i.e. for 63,40,906 is 1.

Thus, LCM of Fractions is 155064.Finally, LCM of Fractions for 91/63, 852/40, 312/906 is 155064.