Least Common Multiple of 7889/80, 6978/961

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7889/80, 6978/961 quickly i.e. 55049442 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7889/80, 6978/961 is 55049442.

LCM(7889/80, 6978/961) = 55049442

LCM of 7889/80, 6978/961

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 7889/80,6978/961

Given numbers are 7889/80,6978/961

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 7889,6978

Least Common Multiple of Numerators i.e. LCM of 7889,6978 is 55049442.

GCF of Denominators means GCF of 80,961 as per the given fractions.

GCF of 80,961 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7889,6978

LCM of Fractions 7889/80,6978/961 is 55049442

Given numbers has no common factors except 1. So, there LCM is their product i.e 55049442

Least Common Multiple of 7889,6978 with GCF Formula

Least Common Multiple of 7889,6978 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 7889,6978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7889,6978) = 1

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

GCF(7889,6978) x common factors =1 x 1 = 1

LCM(7889,6978) = ( 7889 × 6978 ) / 1

LCM(7889,6978) = 55049442 / 1

LCM(7889,6978) = 55049442


Lets's calculate GCF of 80,961

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55049442/1

Therefore the LCM of Fractions 7889/80,6978/961 is 55049442

Greatest Common Factor of 80,961 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,961 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 961

List of positive integer factors of 961 that divides 961 without a remainder.

1,31,961

Greatest Common Factor

We found the factors 80,961 . The biggest common factor number is the GCF number.
So the greatest common factor 80,961 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 7889/80, 6978/961

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 7889/80, 6978/961?

Answer: LCM of Numerators as per given numbers 7889/80, 6978/961 is

LCM of Numerators i.e. for 7889,6978 is 55049442

GCF of denominators i.e. for 80,961 is 1.

Thus, LCM of Fractions is 55049442.Finally, LCM of Fractions for 7889/80, 6978/961 is 55049442.