Least Common Multiple of 795/461, 9564/2987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 795/461, 9564/2987 quickly i.e. 2534460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 795/461, 9564/2987 is 2534460.

LCM(795/461, 9564/2987) = 2534460

LCM of 795/461, 9564/2987

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 795/461,9564/2987

Given numbers are 795/461,9564/2987

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 795,9564

Least Common Multiple of Numerators i.e. LCM of 795,9564 is 2534460.

GCF of Denominators means GCF of 461,2987 as per the given fractions.

GCF of 461,2987 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 795,9564

LCM of Fractions 795/461,9564/2987 is 2534460

3 795, 9564
265, 3188

∴ So the LCM of the given numbers is 3 x 265 x 3188 = 2534460

Least Common Multiple of 795,9564 with GCF Formula

Least Common Multiple of 795,9564 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 795,9564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(795,9564) = 3

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

GCF(795,9564) x common factors =3 x 1 = 3

LCM(795,9564) = ( 795 × 9564 ) / 3

LCM(795,9564) = 7603380 / 3

LCM(795,9564) = 2534460


Lets's calculate GCF of 461,2987

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2534460/1

Therefore the LCM of Fractions 795/461,9564/2987 is 2534460

Greatest Common Factor of 461,2987 By Matching Biggest Common Factor Method

Greatest Common Factor of 461,2987 By Matching Biggest Common Factor Method

Factors of 461

List of positive integer factors of 461 that divides 461 without a remainder.

1,461

Factors of 2987

List of positive integer factors of 2987 that divides 2987 without a remainder.

1,29,103,2987

Greatest Common Factor

We found the factors 461,2987 . The biggest common factor number is the GCF number.
So the greatest common factor 461,2987 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 795/461, 9564/2987

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 795/461, 9564/2987?

Answer: LCM of Numerators as per given numbers 795/461, 9564/2987 is

LCM of Numerators i.e. for 795,9564 is 2534460

GCF of denominators i.e. for 461,2987 is 1.

Thus, LCM of Fractions is 2534460.Finally, LCM of Fractions for 795/461, 9564/2987 is 2534460.