Least Common Multiple of 40/32, 96/76, 187/672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/32, 96/76, 187/672 quickly i.e. 22440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/32, 96/76, 187/672 is 22440.

LCM(40/32, 96/76, 187/672) = 22440

LCM of 40/32, 96/76, 187/672

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 40/32,96/76,187/672

Given numbers are 40/32,96/76,187/672

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 40,96,187

Least Common Multiple of Numerators i.e. LCM of 40,96,187 is 89760.

GCF of Denominators means GCF of 32,76,672 as per the given fractions.

GCF of 32,76,672 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,96,187

LCM of Fractions 40/32,96/76,187/672 is 22440

2 40, 96, 187
2 20, 48, 187
2 10, 24, 187
5, 12, 187

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 12 x 187 = 89760

Least Common Multiple of 40,96,187 with GCF Formula

Least Common Multiple of 40,96,187 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 40,96,187 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,96,187) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(40,96,187) x common factors =1 x 8 = 8

LCM(40,96,187) = ( 40 × 96 × 187 ) / 8

LCM(40,96,187) = 718080 / 8

LCM(40,96,187) = 89760


Lets's calculate GCF of 32,76,672

2 32, 76, 672
2 16, 38, 336
8, 19, 168

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 89760/4

Therefore the LCM of Fractions 40/32,96/76,187/672 is 22440

Greatest Common Factor of 32,76,672 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,76,672 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Greatest Common Factor

We found the factors 32,76,672 . The biggest common factor number is the GCF number.
So the greatest common factor 32,76,672 is 4.


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 40/32, 96/76, 187/672

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 40/32, 96/76, 187/672?

Answer: LCM of Numerators as per given numbers 40/32, 96/76, 187/672 is

LCM of Numerators i.e. for 40,96,187 is 89760

GCF of denominators i.e. for 32,76,672 is 4.

Thus, LCM of Fractions is 22440.Finally, LCM of Fractions for 40/32, 96/76, 187/672 is 22440.