Least Common Multiple of 716/20, 977/5660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 716/20, 977/5660 quickly i.e. 699532/20 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 716/20, 977/5660 is 699532/20.

LCM(716/20, 977/5660) = 699532/20

LCM of 716/20, 977/5660

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 716/20,977/5660

Given numbers are 716/20,977/5660

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 716,977

Least Common Multiple of Numerators i.e. LCM of 716,977 is 699532.

GCF of Denominators means GCF of 20,5660 as per the given fractions.

GCF of 20,5660 is 20 as it is the largest common factor for these numbers.

Lets's calculate LCM of 716,977

LCM of Fractions 716/20,977/5660 is 699532/20

Given numbers has no common factors except 1. So, there LCM is their product i.e 699532

Least Common Multiple of 716,977 with GCF Formula

Least Common Multiple of 716,977 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 716,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(716,977) = 1

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

GCF(716,977) x common factors =1 x 1 = 1

LCM(716,977) = ( 716 × 977 ) / 1

LCM(716,977) = 699532 / 1

LCM(716,977) = 699532


Lets's calculate GCF of 20,5660

2 20, 5660
2 10, 2830
5 5, 1415
1, 283

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 699532/20

Therefore the LCM of Fractions 716/20,977/5660 is 699532/20

Greatest Common Factor of 20,5660 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,5660 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 5660

List of positive integer factors of 5660 that divides 5660 without a remainder.

1,2,4,5,10,20,283,566,1132,1415,2830,5660

Greatest Common Factor

We found the factors 20,5660 . The biggest common factor number is the GCF number.
So the greatest common factor 20,5660 is 20.


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 716/20, 977/5660

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 716/20, 977/5660?

Answer: LCM of Numerators as per given numbers 716/20, 977/5660 is

LCM of Numerators i.e. for 716,977 is 699532

GCF of denominators i.e. for 20,5660 is 20.

Thus, LCM of Fractions is 699532/20.Finally, LCM of Fractions for 716/20, 977/5660 is 699532/20.