Least Common Multiple of 307/81, 972/66, 631/141

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 307/81, 972/66, 631/141 quickly i.e. 62764308 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 307/81, 972/66, 631/141 is 62764308.

LCM(307/81, 972/66, 631/141) = 62764308

LCM of 307/81, 972/66, 631/141

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 307/81,972/66,631/141

Given numbers are 307/81,972/66,631/141

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 307,972,631

Least Common Multiple of Numerators i.e. LCM of 307,972,631 is 188292924.

GCF of Denominators means GCF of 81,66,141 as per the given fractions.

GCF of 81,66,141 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 307,972,631

LCM of Fractions 307/81,972/66,631/141 is 62764308

Given numbers has no common factors except 1. So, there LCM is their product i.e 188292924

Least Common Multiple of 307,972,631 with GCF Formula

Least Common Multiple of 307,972,631 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 307,972,631 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(307,972,631) = 1

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

GCF(307,972,631) x common factors =1 x 1 = 1

LCM(307,972,631) = ( 307 × 972 × 631 ) / 1

LCM(307,972,631) = 188292924 / 1

LCM(307,972,631) = 188292924


Lets's calculate GCF of 81,66,141

3 81, 66, 141
27, 22, 47

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 188292924/3

Therefore the LCM of Fractions 307/81,972/66,631/141 is 62764308

Greatest Common Factor of 81,66,141 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,66,141 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 141

List of positive integer factors of 141 that divides 141 without a remainder.

1,3,47,141

Greatest Common Factor

We found the factors 81,66,141 . The biggest common factor number is the GCF number.
So the greatest common factor 81,66,141 is 3.


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 307/81, 972/66, 631/141

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 307/81, 972/66, 631/141?

Answer: LCM of Numerators as per given numbers 307/81, 972/66, 631/141 is

LCM of Numerators i.e. for 307,972,631 is 188292924

GCF of denominators i.e. for 81,66,141 is 3.

Thus, LCM of Fractions is 62764308.Finally, LCM of Fractions for 307/81, 972/66, 631/141 is 62764308.