Least Common Multiple of 471/456, 7812/957

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 471/456, 7812/957 quickly i.e. 408828 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 471/456, 7812/957 is 408828.

LCM(471/456, 7812/957) = 408828

LCM of 471/456, 7812/957

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 471/456,7812/957

Given numbers are 471/456,7812/957

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 471,7812

Least Common Multiple of Numerators i.e. LCM of 471,7812 is 1226484.

GCF of Denominators means GCF of 456,957 as per the given fractions.

GCF of 456,957 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 471,7812

LCM of Fractions 471/456,7812/957 is 408828

3 471, 7812
157, 2604

∴ So the LCM of the given numbers is 3 x 157 x 2604 = 1226484

Least Common Multiple of 471,7812 with GCF Formula

Least Common Multiple of 471,7812 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 471,7812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(471,7812) = 3

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

GCF(471,7812) x common factors =3 x 1 = 3

LCM(471,7812) = ( 471 × 7812 ) / 3

LCM(471,7812) = 3679452 / 3

LCM(471,7812) = 1226484


Lets's calculate GCF of 456,957

3 456, 957
152, 319

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1226484/3

Therefore the LCM of Fractions 471/456,7812/957 is 408828

Greatest Common Factor of 456,957 By Matching Biggest Common Factor Method

Greatest Common Factor of 456,957 By Matching Biggest Common Factor Method

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Factors of 957

List of positive integer factors of 957 that divides 957 without a remainder.

1,3,11,29,33,87,319,957

Greatest Common Factor

We found the factors 456,957 . The biggest common factor number is the GCF number.
So the greatest common factor 456,957 is 3.


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 471/456, 7812/957

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 471/456, 7812/957?

Answer: LCM of Numerators as per given numbers 471/456, 7812/957 is

LCM of Numerators i.e. for 471,7812 is 1226484

GCF of denominators i.e. for 456,957 is 3.

Thus, LCM of Fractions is 408828.Finally, LCM of Fractions for 471/456, 7812/957 is 408828.