Least Common Multiple of 7731/738, 5177/240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7731/738, 5177/240 quickly i.e. 40023387/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7731/738, 5177/240 is 40023387/6.

LCM(7731/738, 5177/240) = 40023387/6

LCM of 7731/738, 5177/240

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 7731/738,5177/240

Given numbers are 7731/738,5177/240

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 7731,5177

Least Common Multiple of Numerators i.e. LCM of 7731,5177 is 40023387.

GCF of Denominators means GCF of 738,240 as per the given fractions.

GCF of 738,240 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7731,5177

LCM of Fractions 7731/738,5177/240 is 40023387/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 40023387

Least Common Multiple of 7731,5177 with GCF Formula

Least Common Multiple of 7731,5177 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 7731,5177 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7731,5177) = 1

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

GCF(7731,5177) x common factors =1 x 1 = 1

LCM(7731,5177) = ( 7731 × 5177 ) / 1

LCM(7731,5177) = 40023387 / 1

LCM(7731,5177) = 40023387


Lets's calculate GCF of 738,240

2 738, 240
3 369, 120
123, 40

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40023387/6

Therefore the LCM of Fractions 7731/738,5177/240 is 40023387/6

Greatest Common Factor of 738,240 By Matching Biggest Common Factor Method

Greatest Common Factor of 738,240 By Matching Biggest Common Factor Method

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Greatest Common Factor

We found the factors 738,240 . The biggest common factor number is the GCF number.
So the greatest common factor 738,240 is 6.


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 7731/738, 5177/240

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 7731/738, 5177/240?

Answer: LCM of Numerators as per given numbers 7731/738, 5177/240 is

LCM of Numerators i.e. for 7731,5177 is 40023387

GCF of denominators i.e. for 738,240 is 6.

Thus, LCM of Fractions is 40023387/6.Finally, LCM of Fractions for 7731/738, 5177/240 is 40023387/6.