Least Common Multiple of 58/815, 23/766, 147/430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 58/815, 23/766, 147/430 quickly i.e. 196098 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/815, 23/766, 147/430 is 196098.

LCM(58/815, 23/766, 147/430) = 196098

LCM of 58/815, 23/766, 147/430

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 58/815,23/766,147/430

Given numbers are 58/815,23/766,147/430

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 58,23,147

Least Common Multiple of Numerators i.e. LCM of 58,23,147 is 196098.

GCF of Denominators means GCF of 815,766,430 as per the given fractions.

GCF of 815,766,430 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,23,147

LCM of Fractions 58/815,23/766,147/430 is 196098

Given numbers has no common factors except 1. So, there LCM is their product i.e 196098

Least Common Multiple of 58,23,147 with GCF Formula

Least Common Multiple of 58,23,147 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 58,23,147 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,23,147) = 1

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

GCF(58,23,147) x common factors =1 x 1 = 1

LCM(58,23,147) = ( 58 × 23 × 147 ) / 1

LCM(58,23,147) = 196098 / 1

LCM(58,23,147) = 196098


Lets's calculate GCF of 815,766,430

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 196098/1

Therefore the LCM of Fractions 58/815,23/766,147/430 is 196098

Greatest Common Factor of 815,766,430 By Matching Biggest Common Factor Method

Greatest Common Factor of 815,766,430 By Matching Biggest Common Factor Method

Factors of 815

List of positive integer factors of 815 that divides 815 without a remainder.

1,5,163,815

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Greatest Common Factor

We found the factors 815,766,430 . The biggest common factor number is the GCF number.
So the greatest common factor 815,766,430 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 58/815, 23/766, 147/430

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 58/815, 23/766, 147/430?

Answer: LCM of Numerators as per given numbers 58/815, 23/766, 147/430 is

LCM of Numerators i.e. for 58,23,147 is 196098

GCF of denominators i.e. for 815,766,430 is 1.

Thus, LCM of Fractions is 196098.Finally, LCM of Fractions for 58/815, 23/766, 147/430 is 196098.