Least Common Multiple of 7890/796, 5924/6747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7890/796, 5924/6747 quickly i.e. 23370180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7890/796, 5924/6747 is 23370180.

LCM(7890/796, 5924/6747) = 23370180

LCM of 7890/796, 5924/6747

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 7890/796,5924/6747

Given numbers are 7890/796,5924/6747

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 7890,5924

Least Common Multiple of Numerators i.e. LCM of 7890,5924 is 23370180.

GCF of Denominators means GCF of 796,6747 as per the given fractions.

GCF of 796,6747 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7890,5924

LCM of Fractions 7890/796,5924/6747 is 23370180

2 7890, 5924
3945, 2962

∴ So the LCM of the given numbers is 2 x 3945 x 2962 = 23370180

Least Common Multiple of 7890,5924 with GCF Formula

Least Common Multiple of 7890,5924 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 7890,5924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7890,5924) = 2

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

GCF(7890,5924) x common factors =2 x 1 = 2

LCM(7890,5924) = ( 7890 × 5924 ) / 2

LCM(7890,5924) = 46740360 / 2

LCM(7890,5924) = 23370180


Lets's calculate GCF of 796,6747

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23370180/1

Therefore the LCM of Fractions 7890/796,5924/6747 is 23370180

Greatest Common Factor of 796,6747 By Matching Biggest Common Factor Method

Greatest Common Factor of 796,6747 By Matching Biggest Common Factor Method

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Factors of 6747

List of positive integer factors of 6747 that divides 6747 without a remainder.

1,3,13,39,173,519,2249,6747

Greatest Common Factor

We found the factors 796,6747 . The biggest common factor number is the GCF number.
So the greatest common factor 796,6747 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7890/796, 5924/6747

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 7890/796, 5924/6747?

Answer: LCM of Numerators as per given numbers 7890/796, 5924/6747 is

LCM of Numerators i.e. for 7890,5924 is 23370180

GCF of denominators i.e. for 796,6747 is 1.

Thus, LCM of Fractions is 23370180.Finally, LCM of Fractions for 7890/796, 5924/6747 is 23370180.