Least Common Multiple of 75/320, 634/956, 951/662

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/320, 634/956, 951/662 quickly i.e. 23775 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/320, 634/956, 951/662 is 23775.

LCM(75/320, 634/956, 951/662) = 23775

LCM of 75/320, 634/956, 951/662

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 75/320,634/956,951/662

Given numbers are 75/320,634/956,951/662

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 75,634,951

Least Common Multiple of Numerators i.e. LCM of 75,634,951 is 47550.

GCF of Denominators means GCF of 320,956,662 as per the given fractions.

GCF of 320,956,662 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,634,951

LCM of Fractions 75/320,634/956,951/662 is 23775

3 75, 634, 951
317 25, 634, 317
25, 2, 1

∴ So the LCM of the given numbers is 3 x 317 x 25 x 2 x 1 = 47550

Least Common Multiple of 75,634,951 with GCF Formula

Least Common Multiple of 75,634,951 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 75,634,951 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,634,951) = 1

common factors(in case of two or more numbers have common factors) = 951

GCF(75,634,951) x common factors =1 x 951 = 951

LCM(75,634,951) = ( 75 × 634 × 951 ) / 951

LCM(75,634,951) = 45220050 / 951

LCM(75,634,951) = 47550


Lets's calculate GCF of 320,956,662

2 320, 956, 662
160, 478, 331

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47550/2

Therefore the LCM of Fractions 75/320,634/956,951/662 is 23775

Greatest Common Factor of 320,956,662 By Matching Biggest Common Factor Method

Greatest Common Factor of 320,956,662 By Matching Biggest Common Factor Method

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

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

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Factors of 662

List of positive integer factors of 662 that divides 662 without a remainder.

1,2,331,662

Greatest Common Factor

We found the factors 320,956,662 . The biggest common factor number is the GCF number.
So the greatest common factor 320,956,662 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 75/320, 634/956, 951/662

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 75/320, 634/956, 951/662?

Answer: LCM of Numerators as per given numbers 75/320, 634/956, 951/662 is

LCM of Numerators i.e. for 75,634,951 is 47550

GCF of denominators i.e. for 320,956,662 is 2.

Thus, LCM of Fractions is 23775.Finally, LCM of Fractions for 75/320, 634/956, 951/662 is 23775.