Least Common Multiple of 460/916, 634/654, 991/640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 460/916, 634/654, 991/640 quickly i.e. 72253810 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 460/916, 634/654, 991/640 is 72253810.

LCM(460/916, 634/654, 991/640) = 72253810

LCM of 460/916, 634/654, 991/640

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 460/916,634/654,991/640

Given numbers are 460/916,634/654,991/640

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 460,634,991

Least Common Multiple of Numerators i.e. LCM of 460,634,991 is 144507620.

GCF of Denominators means GCF of 916,654,640 as per the given fractions.

GCF of 916,654,640 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 460,634,991

LCM of Fractions 460/916,634/654,991/640 is 72253810

2 460, 634, 991
230, 317, 991

∴ So the LCM of the given numbers is 2 x 230 x 317 x 991 = 144507620

Least Common Multiple of 460,634,991 with GCF Formula

Least Common Multiple of 460,634,991 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 460,634,991 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(460,634,991) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(460,634,991) x common factors =1 x 2 = 2

LCM(460,634,991) = ( 460 × 634 × 991 ) / 2

LCM(460,634,991) = 289015240 / 2

LCM(460,634,991) = 144507620


Lets's calculate GCF of 916,654,640

2 916, 654, 640
458, 327, 320

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 144507620/2

Therefore the LCM of Fractions 460/916,634/654,991/640 is 72253810

Greatest Common Factor of 916,654,640 By Matching Biggest Common Factor Method

Greatest Common Factor of 916,654,640 By Matching Biggest Common Factor Method

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Greatest Common Factor

We found the factors 916,654,640 . The biggest common factor number is the GCF number.
So the greatest common factor 916,654,640 is 2.


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 460/916, 634/654, 991/640

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 460/916, 634/654, 991/640?

Answer: LCM of Numerators as per given numbers 460/916, 634/654, 991/640 is

LCM of Numerators i.e. for 460,634,991 is 144507620

GCF of denominators i.e. for 916,654,640 is 2.

Thus, LCM of Fractions is 72253810.Finally, LCM of Fractions for 460/916, 634/654, 991/640 is 72253810.