Least Common Multiple of 6978/711, 7963/456

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6978/711, 7963/456 quickly i.e. 18521938 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6978/711, 7963/456 is 18521938.

LCM(6978/711, 7963/456) = 18521938

LCM of 6978/711, 7963/456

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 6978/711,7963/456

Given numbers are 6978/711,7963/456

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 6978,7963

Least Common Multiple of Numerators i.e. LCM of 6978,7963 is 55565814.

GCF of Denominators means GCF of 711,456 as per the given fractions.

GCF of 711,456 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6978,7963

LCM of Fractions 6978/711,7963/456 is 18521938

Given numbers has no common factors except 1. So, there LCM is their product i.e 55565814

Least Common Multiple of 6978,7963 with GCF Formula

Least Common Multiple of 6978,7963 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 6978,7963 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6978,7963) = 1

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

GCF(6978,7963) x common factors =1 x 1 = 1

LCM(6978,7963) = ( 6978 × 7963 ) / 1

LCM(6978,7963) = 55565814 / 1

LCM(6978,7963) = 55565814


Lets's calculate GCF of 711,456

3 711, 456
237, 152

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55565814/3

Therefore the LCM of Fractions 6978/711,7963/456 is 18521938

Greatest Common Factor of 711,456 By Matching Biggest Common Factor Method

Greatest Common Factor of 711,456 By Matching Biggest Common Factor Method

Factors of 711

List of positive integer factors of 711 that divides 711 without a remainder.

1,3,9,79,237,711

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Greatest Common Factor

We found the factors 711,456 . The biggest common factor number is the GCF number.
So the greatest common factor 711,456 is 3.


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 6978/711, 7963/456

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 6978/711, 7963/456?

Answer: LCM of Numerators as per given numbers 6978/711, 7963/456 is

LCM of Numerators i.e. for 6978,7963 is 55565814

GCF of denominators i.e. for 711,456 is 3.

Thus, LCM of Fractions is 18521938.Finally, LCM of Fractions for 6978/711, 7963/456 is 18521938.