Least Common Multiple of 307/40, 914/76, 659/729

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 307/40, 914/76, 659/729 quickly i.e. 184914082 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 307/40, 914/76, 659/729 is 184914082.

LCM(307/40, 914/76, 659/729) = 184914082

LCM of 307/40, 914/76, 659/729

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 307/40,914/76,659/729

Given numbers are 307/40,914/76,659/729

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 307,914,659

Least Common Multiple of Numerators i.e. LCM of 307,914,659 is 184914082.

GCF of Denominators means GCF of 40,76,729 as per the given fractions.

GCF of 40,76,729 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 307,914,659

LCM of Fractions 307/40,914/76,659/729 is 184914082

Given numbers has no common factors except 1. So, there LCM is their product i.e 184914082

Least Common Multiple of 307,914,659 with GCF Formula

Least Common Multiple of 307,914,659 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 307,914,659 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(307,914,659) = 1

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

GCF(307,914,659) x common factors =1 x 1 = 1

LCM(307,914,659) = ( 307 × 914 × 659 ) / 1

LCM(307,914,659) = 184914082 / 1

LCM(307,914,659) = 184914082


Lets's calculate GCF of 40,76,729

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 184914082/1

Therefore the LCM of Fractions 307/40,914/76,659/729 is 184914082

Greatest Common Factor of 40,76,729 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,76,729 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Greatest Common Factor

We found the factors 40,76,729 . The biggest common factor number is the GCF number.
So the greatest common factor 40,76,729 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 307/40, 914/76, 659/729

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 307/40, 914/76, 659/729?

Answer: LCM of Numerators as per given numbers 307/40, 914/76, 659/729 is

LCM of Numerators i.e. for 307,914,659 is 184914082

GCF of denominators i.e. for 40,76,729 is 1.

Thus, LCM of Fractions is 184914082.Finally, LCM of Fractions for 307/40, 914/76, 659/729 is 184914082.