Least Common Multiple of 821/715, 676/125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 821/715, 676/125 quickly i.e. 554996/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 821/715, 676/125 is 554996/5.

LCM(821/715, 676/125) = 554996/5

LCM of 821/715, 676/125

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 821/715,676/125

Given numbers are 821/715,676/125

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 821,676

Least Common Multiple of Numerators i.e. LCM of 821,676 is 554996.

GCF of Denominators means GCF of 715,125 as per the given fractions.

GCF of 715,125 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 821,676

LCM of Fractions 821/715,676/125 is 554996/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 554996

Least Common Multiple of 821,676 with GCF Formula

Least Common Multiple of 821,676 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 821,676 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(821,676) = 1

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

GCF(821,676) x common factors =1 x 1 = 1

LCM(821,676) = ( 821 × 676 ) / 1

LCM(821,676) = 554996 / 1

LCM(821,676) = 554996


Lets's calculate GCF of 715,125

5 715, 125
143, 25

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 554996/5

Therefore the LCM of Fractions 821/715,676/125 is 554996/5

Greatest Common Factor of 715,125 By Matching Biggest Common Factor Method

Greatest Common Factor of 715,125 By Matching Biggest Common Factor Method

Factors of 715

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

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

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1,5,25,125

Greatest Common Factor

We found the factors 715,125 . The biggest common factor number is the GCF number.
So the greatest common factor 715,125 is 5.


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 821/715, 676/125

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 821/715, 676/125?

Answer: LCM of Numerators as per given numbers 821/715, 676/125 is

LCM of Numerators i.e. for 821,676 is 554996

GCF of denominators i.e. for 715,125 is 5.

Thus, LCM of Fractions is 554996/5.Finally, LCM of Fractions for 821/715, 676/125 is 554996/5.