Least Common Multiple of 815/756, 737/178, 760/158

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 815/756, 737/178, 760/158 quickly i.e. 45649780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 815/756, 737/178, 760/158 is 45649780.

LCM(815/756, 737/178, 760/158) = 45649780

LCM of 815/756, 737/178, 760/158

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 815/756,737/178,760/158

Given numbers are 815/756,737/178,760/158

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 815,737,760

Least Common Multiple of Numerators i.e. LCM of 815,737,760 is 91299560.

GCF of Denominators means GCF of 756,178,158 as per the given fractions.

GCF of 756,178,158 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 815,737,760

LCM of Fractions 815/756,737/178,760/158 is 45649780

5 815, 737, 760
163, 737, 152

∴ So the LCM of the given numbers is 5 x 163 x 737 x 152 = 91299560

Least Common Multiple of 815,737,760 with GCF Formula

Least Common Multiple of 815,737,760 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 815,737,760 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(815,737,760) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(815,737,760) x common factors =1 x 5 = 5

LCM(815,737,760) = ( 815 × 737 × 760 ) / 5

LCM(815,737,760) = 456497800 / 5

LCM(815,737,760) = 91299560


Lets's calculate GCF of 756,178,158

2 756, 178, 158
378, 89, 79

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 91299560/2

Therefore the LCM of Fractions 815/756,737/178,760/158 is 45649780

Greatest Common Factor of 756,178,158 By Matching Biggest Common Factor Method

Greatest Common Factor of 756,178,158 By Matching Biggest Common Factor Method

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

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 756,178,158 . The biggest common factor number is the GCF number.
So the greatest common factor 756,178,158 is 2.


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 815/756, 737/178, 760/158

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 815/756, 737/178, 760/158?

Answer: LCM of Numerators as per given numbers 815/756, 737/178, 760/158 is

LCM of Numerators i.e. for 815,737,760 is 91299560

GCF of denominators i.e. for 756,178,158 is 2.

Thus, LCM of Fractions is 45649780.Finally, LCM of Fractions for 815/756, 737/178, 760/158 is 45649780.