Least Common Multiple of 37/615, 81/779, 864/158

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 37/615, 81/779, 864/158 quickly i.e. 95904 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/615, 81/779, 864/158 is 95904.

LCM(37/615, 81/779, 864/158) = 95904

LCM of 37/615, 81/779, 864/158

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 37/615,81/779,864/158

Given numbers are 37/615,81/779,864/158

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 37,81,864

Least Common Multiple of Numerators i.e. LCM of 37,81,864 is 95904.

GCF of Denominators means GCF of 615,779,158 as per the given fractions.

GCF of 615,779,158 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,81,864

LCM of Fractions 37/615,81/779,864/158 is 95904

3 37, 81, 864
3 37, 27, 288
3 37, 9, 96
37, 3, 32

∴ So the LCM of the given numbers is 3 x 3 x 3 x 37 x 3 x 32 = 95904

Least Common Multiple of 37,81,864 with GCF Formula

Least Common Multiple of 37,81,864 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 37,81,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,81,864) = 1

common factors(in case of two or more numbers have common factors) = 27

GCF(37,81,864) x common factors =1 x 27 = 27

LCM(37,81,864) = ( 37 × 81 × 864 ) / 27

LCM(37,81,864) = 2589408 / 27

LCM(37,81,864) = 95904


Lets's calculate GCF of 615,779,158

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 95904/1

Therefore the LCM of Fractions 37/615,81/779,864/158 is 95904

Greatest Common Factor of 615,779,158 By Matching Biggest Common Factor Method

Greatest Common Factor of 615,779,158 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

Factors of 158

List of positive integer factors of 158 that divides 158 without a remainder.

1,2,79,158

Greatest Common Factor

We found the factors 615,779,158 . The biggest common factor number is the GCF number.
So the greatest common factor 615,779,158 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 37/615, 81/779, 864/158

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 37/615, 81/779, 864/158?

Answer: LCM of Numerators as per given numbers 37/615, 81/779, 864/158 is

LCM of Numerators i.e. for 37,81,864 is 95904

GCF of denominators i.e. for 615,779,158 is 1.

Thus, LCM of Fractions is 95904.Finally, LCM of Fractions for 37/615, 81/779, 864/158 is 95904.