Least Common Multiple of 786/915, 7204/158

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 786/915, 7204/158 quickly i.e. 2831172 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 786/915, 7204/158 is 2831172.

LCM(786/915, 7204/158) = 2831172

LCM of 786/915, 7204/158

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 786/915,7204/158

Given numbers are 786/915,7204/158

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 786,7204

Least Common Multiple of Numerators i.e. LCM of 786,7204 is 2831172.

GCF of Denominators means GCF of 915,158 as per the given fractions.

GCF of 915,158 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 786,7204

LCM of Fractions 786/915,7204/158 is 2831172

2 786, 7204
393, 3602

∴ So the LCM of the given numbers is 2 x 393 x 3602 = 2831172

Least Common Multiple of 786,7204 with GCF Formula

Least Common Multiple of 786,7204 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 786,7204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(786,7204) = 2

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

GCF(786,7204) x common factors =2 x 1 = 2

LCM(786,7204) = ( 786 × 7204 ) / 2

LCM(786,7204) = 5662344 / 2

LCM(786,7204) = 2831172


Lets's calculate GCF of 915,158

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2831172/1

Therefore the LCM of Fractions 786/915,7204/158 is 2831172

Greatest Common Factor of 915,158 By Matching Biggest Common Factor Method

Greatest Common Factor of 915,158 By Matching Biggest Common Factor Method

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

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 915,158 . The biggest common factor number is the GCF number.
So the greatest common factor 915,158 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 786/915, 7204/158

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 786/915, 7204/158?

Answer: LCM of Numerators as per given numbers 786/915, 7204/158 is

LCM of Numerators i.e. for 786,7204 is 2831172

GCF of denominators i.e. for 915,158 is 1.

Thus, LCM of Fractions is 2831172.Finally, LCM of Fractions for 786/915, 7204/158 is 2831172.