Least Common Multiple of 78/615, 18/606, 816/976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/615, 18/606, 816/976 quickly i.e. 31824 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/615, 18/606, 816/976 is 31824.

LCM(78/615, 18/606, 816/976) = 31824

LCM of 78/615, 18/606, 816/976

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 78/615,18/606,816/976

Given numbers are 78/615,18/606,816/976

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 78,18,816

Least Common Multiple of Numerators i.e. LCM of 78,18,816 is 31824.

GCF of Denominators means GCF of 615,606,976 as per the given fractions.

GCF of 615,606,976 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,18,816

LCM of Fractions 78/615,18/606,816/976 is 31824

2 78, 18, 816
3 39, 9, 408
13, 3, 136

∴ So the LCM of the given numbers is 2 x 3 x 13 x 3 x 136 = 31824

Least Common Multiple of 78,18,816 with GCF Formula

Least Common Multiple of 78,18,816 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 78,18,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,18,816) = 6

common factors(in case of two or more numbers have common factors) = 6

GCF(78,18,816) x common factors =6 x 6 = 36

LCM(78,18,816) = ( 78 × 18 × 816 ) / 36

LCM(78,18,816) = 1145664 / 36

LCM(78,18,816) = 31824


Lets's calculate GCF of 615,606,976

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31824/1

Therefore the LCM of Fractions 78/615,18/606,816/976 is 31824

Greatest Common Factor of 615,606,976 By Matching Biggest Common Factor Method

Greatest Common Factor of 615,606,976 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 606

List of positive integer factors of 606 that divides 606 without a remainder.

1,2,3,6,101,202,303,606

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Greatest Common Factor

We found the factors 615,606,976 . The biggest common factor number is the GCF number.
So the greatest common factor 615,606,976 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 78/615, 18/606, 816/976

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 78/615, 18/606, 816/976?

Answer: LCM of Numerators as per given numbers 78/615, 18/606, 816/976 is

LCM of Numerators i.e. for 78,18,816 is 31824

GCF of denominators i.e. for 615,606,976 is 1.

Thus, LCM of Fractions is 31824.Finally, LCM of Fractions for 78/615, 18/606, 816/976 is 31824.