Least Common Multiple of 645/634, 8928/704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 645/634, 8928/704 quickly i.e. 959760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 645/634, 8928/704 is 959760.

LCM(645/634, 8928/704) = 959760

LCM of 645/634, 8928/704

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 645/634,8928/704

Given numbers are 645/634,8928/704

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 645,8928

Least Common Multiple of Numerators i.e. LCM of 645,8928 is 1919520.

GCF of Denominators means GCF of 634,704 as per the given fractions.

GCF of 634,704 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 645,8928

LCM of Fractions 645/634,8928/704 is 959760

3 645, 8928
215, 2976

∴ So the LCM of the given numbers is 3 x 215 x 2976 = 1919520

Least Common Multiple of 645,8928 with GCF Formula

Least Common Multiple of 645,8928 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 645,8928 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(645,8928) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(645,8928) x common factors =3 x 1 = 3

LCM(645,8928) = ( 645 × 8928 ) / 3

LCM(645,8928) = 5758560 / 3

LCM(645,8928) = 1919520


Lets's calculate GCF of 634,704

2 634, 704
317, 352

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1919520/2

Therefore the LCM of Fractions 645/634,8928/704 is 959760

Greatest Common Factor of 634,704 By Matching Biggest Common Factor Method

Greatest Common Factor of 634,704 By Matching Biggest Common Factor Method

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Greatest Common Factor

We found the factors 634,704 . The biggest common factor number is the GCF number.
So the greatest common factor 634,704 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 645/634, 8928/704

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 645/634, 8928/704?

Answer: LCM of Numerators as per given numbers 645/634, 8928/704 is

LCM of Numerators i.e. for 645,8928 is 1919520

GCF of denominators i.e. for 634,704 is 2.

Thus, LCM of Fractions is 959760.Finally, LCM of Fractions for 645/634, 8928/704 is 959760.