Least Common Multiple of 95/540, 741/825, 407/738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 95/540, 741/825, 407/738 quickly i.e. 502645 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 95/540, 741/825, 407/738 is 502645.

LCM(95/540, 741/825, 407/738) = 502645

LCM of 95/540, 741/825, 407/738

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 95/540,741/825,407/738

Given numbers are 95/540,741/825,407/738

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 95,741,407

Least Common Multiple of Numerators i.e. LCM of 95,741,407 is 1507935.

GCF of Denominators means GCF of 540,825,738 as per the given fractions.

GCF of 540,825,738 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 95,741,407

LCM of Fractions 95/540,741/825,407/738 is 502645

19 95, 741, 407
5, 39, 407

∴ So the LCM of the given numbers is 19 x 5 x 39 x 407 = 1507935

Least Common Multiple of 95,741,407 with GCF Formula

Least Common Multiple of 95,741,407 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 95,741,407 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,741,407) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(95,741,407) x common factors =1 x 19 = 19

LCM(95,741,407) = ( 95 × 741 × 407 ) / 19

LCM(95,741,407) = 28650765 / 19

LCM(95,741,407) = 1507935


Lets's calculate GCF of 540,825,738

3 540, 825, 738
180, 275, 246

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1507935/3

Therefore the LCM of Fractions 95/540,741/825,407/738 is 502645

Greatest Common Factor of 540,825,738 By Matching Biggest Common Factor Method

Greatest Common Factor of 540,825,738 By Matching Biggest Common Factor Method

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

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

Greatest Common Factor

We found the factors 540,825,738 . The biggest common factor number is the GCF number.
So the greatest common factor 540,825,738 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 95/540, 741/825, 407/738

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 95/540, 741/825, 407/738?

Answer: LCM of Numerators as per given numbers 95/540, 741/825, 407/738 is

LCM of Numerators i.e. for 95,741,407 is 1507935

GCF of denominators i.e. for 540,825,738 is 3.

Thus, LCM of Fractions is 502645.Finally, LCM of Fractions for 95/540, 741/825, 407/738 is 502645.