Least Common Multiple of 7900/81, 6780/619

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7900/81, 6780/619 quickly i.e. 2678100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7900/81, 6780/619 is 2678100.

LCM(7900/81, 6780/619) = 2678100

LCM of 7900/81, 6780/619

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 7900/81,6780/619

Given numbers are 7900/81,6780/619

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 7900,6780

Least Common Multiple of Numerators i.e. LCM of 7900,6780 is 2678100.

GCF of Denominators means GCF of 81,619 as per the given fractions.

GCF of 81,619 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7900,6780

LCM of Fractions 7900/81,6780/619 is 2678100

2 7900, 6780
2 3950, 3390
5 1975, 1695
395, 339

∴ So the LCM of the given numbers is 2 x 2 x 5 x 395 x 339 = 2678100

Least Common Multiple of 7900,6780 with GCF Formula

Least Common Multiple of 7900,6780 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 7900,6780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7900,6780) = 20

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

GCF(7900,6780) x common factors =20 x 1 = 20

LCM(7900,6780) = ( 7900 × 6780 ) / 20

LCM(7900,6780) = 53562000 / 20

LCM(7900,6780) = 2678100


Lets's calculate GCF of 81,619

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2678100/1

Therefore the LCM of Fractions 7900/81,6780/619 is 2678100

Greatest Common Factor of 81,619 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,619 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 619

List of positive integer factors of 619 that divides 619 without a remainder.

1,619

Greatest Common Factor

We found the factors 81,619 . The biggest common factor number is the GCF number.
So the greatest common factor 81,619 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 7900/81, 6780/619

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 7900/81, 6780/619?

Answer: LCM of Numerators as per given numbers 7900/81, 6780/619 is

LCM of Numerators i.e. for 7900,6780 is 2678100

GCF of denominators i.e. for 81,619 is 1.

Thus, LCM of Fractions is 2678100.Finally, LCM of Fractions for 7900/81, 6780/619 is 2678100.