Least Common Multiple of 960/991, 7731/406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 960/991, 7731/406 quickly i.e. 2473920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 960/991, 7731/406 is 2473920.

LCM(960/991, 7731/406) = 2473920

LCM of 960/991, 7731/406

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 960/991,7731/406

Given numbers are 960/991,7731/406

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 960,7731

Least Common Multiple of Numerators i.e. LCM of 960,7731 is 2473920.

GCF of Denominators means GCF of 991,406 as per the given fractions.

GCF of 991,406 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 960,7731

LCM of Fractions 960/991,7731/406 is 2473920

3 960, 7731
320, 2577

∴ So the LCM of the given numbers is 3 x 320 x 2577 = 2473920

Least Common Multiple of 960,7731 with GCF Formula

Least Common Multiple of 960,7731 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 960,7731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(960,7731) = 3

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

GCF(960,7731) x common factors =3 x 1 = 3

LCM(960,7731) = ( 960 × 7731 ) / 3

LCM(960,7731) = 7421760 / 3

LCM(960,7731) = 2473920


Lets's calculate GCF of 991,406

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2473920/1

Therefore the LCM of Fractions 960/991,7731/406 is 2473920

Greatest Common Factor of 991,406 By Matching Biggest Common Factor Method

Greatest Common Factor of 991,406 By Matching Biggest Common Factor Method

Factors of 991

List of positive integer factors of 991 that divides 991 without a remainder.

1,991

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Greatest Common Factor

We found the factors 991,406 . The biggest common factor number is the GCF number.
So the greatest common factor 991,406 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 960/991, 7731/406

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 960/991, 7731/406?

Answer: LCM of Numerators as per given numbers 960/991, 7731/406 is

LCM of Numerators i.e. for 960,7731 is 2473920

GCF of denominators i.e. for 991,406 is 1.

Thus, LCM of Fractions is 2473920.Finally, LCM of Fractions for 960/991, 7731/406 is 2473920.