Least Common Multiple of 81/59, 976/30, 647/146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/59, 976/30, 647/146 quickly i.e. 51149232 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/59, 976/30, 647/146 is 51149232.

LCM(81/59, 976/30, 647/146) = 51149232

LCM of 81/59, 976/30, 647/146

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 81/59,976/30,647/146

Given numbers are 81/59,976/30,647/146

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 81,976,647

Least Common Multiple of Numerators i.e. LCM of 81,976,647 is 51149232.

GCF of Denominators means GCF of 59,30,146 as per the given fractions.

GCF of 59,30,146 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,976,647

LCM of Fractions 81/59,976/30,647/146 is 51149232

Given numbers has no common factors except 1. So, there LCM is their product i.e 51149232

Least Common Multiple of 81,976,647 with GCF Formula

Least Common Multiple of 81,976,647 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 81,976,647 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,976,647) = 1

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

GCF(81,976,647) x common factors =1 x 1 = 1

LCM(81,976,647) = ( 81 × 976 × 647 ) / 1

LCM(81,976,647) = 51149232 / 1

LCM(81,976,647) = 51149232


Lets's calculate GCF of 59,30,146

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51149232/1

Therefore the LCM of Fractions 81/59,976/30,647/146 is 51149232

Greatest Common Factor of 59,30,146 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,30,146 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Greatest Common Factor

We found the factors 59,30,146 . The biggest common factor number is the GCF number.
So the greatest common factor 59,30,146 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 81/59, 976/30, 647/146

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 81/59, 976/30, 647/146?

Answer: LCM of Numerators as per given numbers 81/59, 976/30, 647/146 is

LCM of Numerators i.e. for 81,976,647 is 51149232

GCF of denominators i.e. for 59,30,146 is 1.

Thus, LCM of Fractions is 51149232.Finally, LCM of Fractions for 81/59, 976/30, 647/146 is 51149232.