Least Common Multiple of 40/96, 30/171, 925/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/96, 30/171, 925/972 quickly i.e. 7400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/96, 30/171, 925/972 is 7400.

LCM(40/96, 30/171, 925/972) = 7400

LCM of 40/96, 30/171, 925/972

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 40/96,30/171,925/972

Given numbers are 40/96,30/171,925/972

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 40,30,925

Least Common Multiple of Numerators i.e. LCM of 40,30,925 is 22200.

GCF of Denominators means GCF of 96,171,972 as per the given fractions.

GCF of 96,171,972 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,30,925

LCM of Fractions 40/96,30/171,925/972 is 7400

2 40, 30, 925
5 20, 15, 925
4, 3, 185

∴ So the LCM of the given numbers is 2 x 5 x 4 x 3 x 185 = 22200

Least Common Multiple of 40,30,925 with GCF Formula

Least Common Multiple of 40,30,925 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 40,30,925 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,30,925) = 5

common factors(in case of two or more numbers have common factors) = 10

GCF(40,30,925) x common factors =5 x 10 = 50

LCM(40,30,925) = ( 40 × 30 × 925 ) / 50

LCM(40,30,925) = 1110000 / 50

LCM(40,30,925) = 22200


Lets's calculate GCF of 96,171,972

3 96, 171, 972
32, 57, 324

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22200/3

Therefore the LCM of Fractions 40/96,30/171,925/972 is 7400

Greatest Common Factor of 96,171,972 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,171,972 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Greatest Common Factor

We found the factors 96,171,972 . The biggest common factor number is the GCF number.
So the greatest common factor 96,171,972 is 3.


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 40/96, 30/171, 925/972

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 40/96, 30/171, 925/972?

Answer: LCM of Numerators as per given numbers 40/96, 30/171, 925/972 is

LCM of Numerators i.e. for 40,30,925 is 22200

GCF of denominators i.e. for 96,171,972 is 3.

Thus, LCM of Fractions is 7400.Finally, LCM of Fractions for 40/96, 30/171, 925/972 is 7400.