Least Common Multiple of 963/20, 610/715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 963/20, 610/715 quickly i.e. 117486 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 963/20, 610/715 is 117486.

LCM(963/20, 610/715) = 117486

LCM of 963/20, 610/715

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 963/20,610/715

Given numbers are 963/20,610/715

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 963,610

Least Common Multiple of Numerators i.e. LCM of 963,610 is 587430.

GCF of Denominators means GCF of 20,715 as per the given fractions.

GCF of 20,715 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 963,610

LCM of Fractions 963/20,610/715 is 117486

Given numbers has no common factors except 1. So, there LCM is their product i.e 587430

Least Common Multiple of 963,610 with GCF Formula

Least Common Multiple of 963,610 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 963,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(963,610) = 1

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

GCF(963,610) x common factors =1 x 1 = 1

LCM(963,610) = ( 963 × 610 ) / 1

LCM(963,610) = 587430 / 1

LCM(963,610) = 587430


Lets's calculate GCF of 20,715

5 20, 715
4, 143

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 587430/5

Therefore the LCM of Fractions 963/20,610/715 is 117486

Greatest Common Factor of 20,715 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,715 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Greatest Common Factor

We found the factors 20,715 . The biggest common factor number is the GCF number.
So the greatest common factor 20,715 is 5.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 963/20, 610/715

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 963/20, 610/715?

Answer: LCM of Numerators as per given numbers 963/20, 610/715 is

LCM of Numerators i.e. for 963,610 is 587430

GCF of denominators i.e. for 20,715 is 5.

Thus, LCM of Fractions is 117486.Finally, LCM of Fractions for 963/20, 610/715 is 117486.