Least Common Multiple of 815/972, 807/710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 815/972, 807/710 quickly i.e. 657705/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 815/972, 807/710 is 657705/2.

LCM(815/972, 807/710) = 657705/2

LCM of 815/972, 807/710

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 815/972,807/710

Given numbers are 815/972,807/710

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 815,807

Least Common Multiple of Numerators i.e. LCM of 815,807 is 657705.

GCF of Denominators means GCF of 972,710 as per the given fractions.

GCF of 972,710 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 815,807

LCM of Fractions 815/972,807/710 is 657705/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 657705

Least Common Multiple of 815,807 with GCF Formula

Least Common Multiple of 815,807 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 815,807 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(815,807) = 1

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

GCF(815,807) x common factors =1 x 1 = 1

LCM(815,807) = ( 815 × 807 ) / 1

LCM(815,807) = 657705 / 1

LCM(815,807) = 657705


Lets's calculate GCF of 972,710

2 972, 710
486, 355

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 657705/2

Therefore the LCM of Fractions 815/972,807/710 is 657705/2

Greatest Common Factor of 972,710 By Matching Biggest Common Factor Method

Greatest Common Factor of 972,710 By Matching Biggest Common Factor Method

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Greatest Common Factor

We found the factors 972,710 . The biggest common factor number is the GCF number.
So the greatest common factor 972,710 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 815/972, 807/710

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 815/972, 807/710?

Answer: LCM of Numerators as per given numbers 815/972, 807/710 is

LCM of Numerators i.e. for 815,807 is 657705

GCF of denominators i.e. for 972,710 is 2.

Thus, LCM of Fractions is 657705/2.Finally, LCM of Fractions for 815/972, 807/710 is 657705/2.