Least Common Multiple of 963/457, 7941/690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 963/457, 7941/690 quickly i.e. 2549061 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 963/457, 7941/690 is 2549061.

LCM(963/457, 7941/690) = 2549061

LCM of 963/457, 7941/690

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 963/457,7941/690

Given numbers are 963/457,7941/690

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 963,7941

Least Common Multiple of Numerators i.e. LCM of 963,7941 is 2549061.

GCF of Denominators means GCF of 457,690 as per the given fractions.

GCF of 457,690 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 963,7941

LCM of Fractions 963/457,7941/690 is 2549061

3 963, 7941
321, 2647

∴ So the LCM of the given numbers is 3 x 321 x 2647 = 2549061

Least Common Multiple of 963,7941 with GCF Formula

Least Common Multiple of 963,7941 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 963,7941 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(963,7941) = 3

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

GCF(963,7941) x common factors =3 x 1 = 3

LCM(963,7941) = ( 963 × 7941 ) / 3

LCM(963,7941) = 7647183 / 3

LCM(963,7941) = 2549061


Lets's calculate GCF of 457,690

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2549061/1

Therefore the LCM of Fractions 963/457,7941/690 is 2549061

Greatest Common Factor of 457,690 By Matching Biggest Common Factor Method

Greatest Common Factor of 457,690 By Matching Biggest Common Factor Method

Factors of 457

List of positive integer factors of 457 that divides 457 without a remainder.

1,457

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Greatest Common Factor

We found the factors 457,690 . The biggest common factor number is the GCF number.
So the greatest common factor 457,690 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 963/457, 7941/690

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 963/457, 7941/690?

Answer: LCM of Numerators as per given numbers 963/457, 7941/690 is

LCM of Numerators i.e. for 963,7941 is 2549061

GCF of denominators i.e. for 457,690 is 1.

Thus, LCM of Fractions is 2549061.Finally, LCM of Fractions for 963/457, 7941/690 is 2549061.