Least Common Multiple of 40/296, 23/599, 771/657

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/296, 23/599, 771/657 quickly i.e. 709320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/296, 23/599, 771/657 is 709320.

LCM(40/296, 23/599, 771/657) = 709320

LCM of 40/296, 23/599, 771/657

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 40/296,23/599,771/657

Given numbers are 40/296,23/599,771/657

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 40,23,771

Least Common Multiple of Numerators i.e. LCM of 40,23,771 is 709320.

GCF of Denominators means GCF of 296,599,657 as per the given fractions.

GCF of 296,599,657 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,23,771

LCM of Fractions 40/296,23/599,771/657 is 709320

Given numbers has no common factors except 1. So, there LCM is their product i.e 709320

Least Common Multiple of 40,23,771 with GCF Formula

Least Common Multiple of 40,23,771 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 40,23,771 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,23,771) = 1

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

GCF(40,23,771) x common factors =1 x 1 = 1

LCM(40,23,771) = ( 40 × 23 × 771 ) / 1

LCM(40,23,771) = 709320 / 1

LCM(40,23,771) = 709320


Lets's calculate GCF of 296,599,657

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 709320/1

Therefore the LCM of Fractions 40/296,23/599,771/657 is 709320

Greatest Common Factor of 296,599,657 By Matching Biggest Common Factor Method

Greatest Common Factor of 296,599,657 By Matching Biggest Common Factor Method

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Factors of 599

List of positive integer factors of 599 that divides 599 without a remainder.

1,599

Factors of 657

List of positive integer factors of 657 that divides 657 without a remainder.

1,3,9,73,219,657

Greatest Common Factor

We found the factors 296,599,657 . The biggest common factor number is the GCF number.
So the greatest common factor 296,599,657 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 40/296, 23/599, 771/657

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 40/296, 23/599, 771/657?

Answer: LCM of Numerators as per given numbers 40/296, 23/599, 771/657 is

LCM of Numerators i.e. for 40,23,771 is 709320

GCF of denominators i.e. for 296,599,657 is 1.

Thus, LCM of Fractions is 709320.Finally, LCM of Fractions for 40/296, 23/599, 771/657 is 709320.