Least Common Multiple of 36/115, 94/255, 755/917

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/115, 94/255, 755/917 quickly i.e. 1277460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/115, 94/255, 755/917 is 1277460.

LCM(36/115, 94/255, 755/917) = 1277460

LCM of 36/115, 94/255, 755/917

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 36/115,94/255,755/917

Given numbers are 36/115,94/255,755/917

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 36,94,755

Least Common Multiple of Numerators i.e. LCM of 36,94,755 is 1277460.

GCF of Denominators means GCF of 115,255,917 as per the given fractions.

GCF of 115,255,917 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,94,755

LCM of Fractions 36/115,94/255,755/917 is 1277460

2 36, 94, 755
18, 47, 755

∴ So the LCM of the given numbers is 2 x 18 x 47 x 755 = 1277460

Least Common Multiple of 36,94,755 with GCF Formula

Least Common Multiple of 36,94,755 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 36,94,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,94,755) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(36,94,755) x common factors =1 x 2 = 2

LCM(36,94,755) = ( 36 × 94 × 755 ) / 2

LCM(36,94,755) = 2554920 / 2

LCM(36,94,755) = 1277460


Lets's calculate GCF of 115,255,917

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1277460/1

Therefore the LCM of Fractions 36/115,94/255,755/917 is 1277460

Greatest Common Factor of 115,255,917 By Matching Biggest Common Factor Method

Greatest Common Factor of 115,255,917 By Matching Biggest Common Factor Method

Factors of 115

List of positive integer factors of 115 that divides 115 without a remainder.

1,5,23,115

Factors of 255

List of positive integer factors of 255 that divides 255 without a remainder.

1,3,5,15,17,51,85,255

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Greatest Common Factor

We found the factors 115,255,917 . The biggest common factor number is the GCF number.
So the greatest common factor 115,255,917 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 36/115, 94/255, 755/917

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 36/115, 94/255, 755/917?

Answer: LCM of Numerators as per given numbers 36/115, 94/255, 755/917 is

LCM of Numerators i.e. for 36,94,755 is 1277460

GCF of denominators i.e. for 115,255,917 is 1.

Thus, LCM of Fractions is 1277460.Finally, LCM of Fractions for 36/115, 94/255, 755/917 is 1277460.