Least Common Multiple of 964/40, 387/91, 731/164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 964/40, 387/91, 731/164 quickly i.e. 6342156 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 964/40, 387/91, 731/164 is 6342156.

LCM(964/40, 387/91, 731/164) = 6342156

LCM of 964/40, 387/91, 731/164

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 964/40,387/91,731/164

Given numbers are 964/40,387/91,731/164

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 964,387,731

Least Common Multiple of Numerators i.e. LCM of 964,387,731 is 6342156.

GCF of Denominators means GCF of 40,91,164 as per the given fractions.

GCF of 40,91,164 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 964,387,731

LCM of Fractions 964/40,387/91,731/164 is 6342156

43 964, 387, 731
964, 9, 17

∴ So the LCM of the given numbers is 43 x 964 x 9 x 17 = 6342156

Least Common Multiple of 964,387,731 with GCF Formula

Least Common Multiple of 964,387,731 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 964,387,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(964,387,731) = 1

common factors(in case of two or more numbers have common factors) = 43

GCF(964,387,731) x common factors =1 x 43 = 43

LCM(964,387,731) = ( 964 × 387 × 731 ) / 43

LCM(964,387,731) = 272712708 / 43

LCM(964,387,731) = 6342156


Lets's calculate GCF of 40,91,164

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6342156/1

Therefore the LCM of Fractions 964/40,387/91,731/164 is 6342156

Greatest Common Factor of 40,91,164 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,91,164 By Matching Biggest Common Factor Method

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 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Greatest Common Factor

We found the factors 40,91,164 . The biggest common factor number is the GCF number.
So the greatest common factor 40,91,164 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 964/40, 387/91, 731/164

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 964/40, 387/91, 731/164?

Answer: LCM of Numerators as per given numbers 964/40, 387/91, 731/164 is

LCM of Numerators i.e. for 964,387,731 is 6342156

GCF of denominators i.e. for 40,91,164 is 1.

Thus, LCM of Fractions is 6342156.Finally, LCM of Fractions for 964/40, 387/91, 731/164 is 6342156.