Least Common Multiple of 40/951, 81/254, 324/832

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 40/951, 81/254, 324/832 quickly i.e. 3240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/951, 81/254, 324/832 is 3240.

LCM(40/951, 81/254, 324/832) = 3240

LCM of 40/951, 81/254, 324/832

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 40/951,81/254,324/832

Given numbers are 40/951,81/254,324/832

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 40,81,324

Least Common Multiple of Numerators i.e. LCM of 40,81,324 is 3240.

GCF of Denominators means GCF of 951,254,832 as per the given fractions.

GCF of 951,254,832 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,81,324

LCM of Fractions 40/951,81/254,324/832 is 3240

2 40, 81, 324
2 20, 81, 162
3 10, 81, 81
3 10, 27, 27
3 10, 9, 9
3 10, 3, 3
10, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 3 x 10 x 1 x 1 = 3240

Least Common Multiple of 40,81,324 with GCF Formula

Least Common Multiple of 40,81,324 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 40,81,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,81,324) = 1

common factors(in case of two or more numbers have common factors) = 324

GCF(40,81,324) x common factors =1 x 324 = 324

LCM(40,81,324) = ( 40 × 81 × 324 ) / 324

LCM(40,81,324) = 1049760 / 324

LCM(40,81,324) = 3240


Lets's calculate GCF of 951,254,832

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3240/1

Therefore the LCM of Fractions 40/951,81/254,324/832 is 3240

Greatest Common Factor of 951,254,832 By Matching Biggest Common Factor Method

Greatest Common Factor of 951,254,832 By Matching Biggest Common Factor Method

Factors of 951

List of positive integer factors of 951 that divides 951 without a remainder.

1,3,317,951

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Greatest Common Factor

We found the factors 951,254,832 . The biggest common factor number is the GCF number.
So the greatest common factor 951,254,832 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 40/951, 81/254, 324/832

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 40/951, 81/254, 324/832?

Answer: LCM of Numerators as per given numbers 40/951, 81/254, 324/832 is

LCM of Numerators i.e. for 40,81,324 is 3240

GCF of denominators i.e. for 951,254,832 is 1.

Thus, LCM of Fractions is 3240.Finally, LCM of Fractions for 40/951, 81/254, 324/832 is 3240.