Least Common Multiple of 987/615, 7282/779

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 987/615, 7282/779 quickly i.e. 7187334/41 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 987/615, 7282/779 is 7187334/41.

LCM(987/615, 7282/779) = 7187334/41

LCM of 987/615, 7282/779

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 987/615,7282/779

Given numbers are 987/615,7282/779

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 987,7282

Least Common Multiple of Numerators i.e. LCM of 987,7282 is 7187334.

GCF of Denominators means GCF of 615,779 as per the given fractions.

GCF of 615,779 is 41 as it is the largest common factor for these numbers.

Lets's calculate LCM of 987,7282

LCM of Fractions 987/615,7282/779 is 7187334/41

Given numbers has no common factors except 1. So, there LCM is their product i.e 7187334

Least Common Multiple of 987,7282 with GCF Formula

Least Common Multiple of 987,7282 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 987,7282 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(987,7282) = 1

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

GCF(987,7282) x common factors =1 x 1 = 1

LCM(987,7282) = ( 987 × 7282 ) / 1

LCM(987,7282) = 7187334 / 1

LCM(987,7282) = 7187334


Lets's calculate GCF of 615,779

41 615, 779
15, 19

∴ So the GCF of the given numbers is 41 = 41

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7187334/41

Therefore the LCM of Fractions 987/615,7282/779 is 7187334/41

Greatest Common Factor of 615,779 By Matching Biggest Common Factor Method

Greatest Common Factor of 615,779 By Matching Biggest Common Factor Method

Factors of 615

List of positive integer factors of 615 that divides 615 without a remainder.

1,3,5,15,41,123,205,615

Factors of 779

List of positive integer factors of 779 that divides 779 without a remainder.

1,19,41,779

Greatest Common Factor

We found the factors 615,779 . The biggest common factor number is the GCF number.
So the greatest common factor 615,779 is 41.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 987/615, 7282/779

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 987/615, 7282/779?

Answer: LCM of Numerators as per given numbers 987/615, 7282/779 is

LCM of Numerators i.e. for 987,7282 is 7187334

GCF of denominators i.e. for 615,779 is 41.

Thus, LCM of Fractions is 7187334/41.Finally, LCM of Fractions for 987/615, 7282/779 is 7187334/41.