Least Common Multiple of 50/264, 21/540, 741/400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 50/264, 21/540, 741/400 quickly i.e. 259350/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/264, 21/540, 741/400 is 259350/4.

LCM(50/264, 21/540, 741/400) = 259350/4

LCM of 50/264, 21/540, 741/400

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 50/264,21/540,741/400

Given numbers are 50/264,21/540,741/400

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 50,21,741

Least Common Multiple of Numerators i.e. LCM of 50,21,741 is 259350.

GCF of Denominators means GCF of 264,540,400 as per the given fractions.

GCF of 264,540,400 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,21,741

LCM of Fractions 50/264,21/540,741/400 is 259350/4

3 50, 21, 741
50, 7, 247

∴ So the LCM of the given numbers is 3 x 50 x 7 x 247 = 259350

Least Common Multiple of 50,21,741 with GCF Formula

Least Common Multiple of 50,21,741 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 50,21,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,21,741) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(50,21,741) x common factors =1 x 3 = 3

LCM(50,21,741) = ( 50 × 21 × 741 ) / 3

LCM(50,21,741) = 778050 / 3

LCM(50,21,741) = 259350


Lets's calculate GCF of 264,540,400

2 264, 540, 400
2 132, 270, 200
66, 135, 100

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 259350/4

Therefore the LCM of Fractions 50/264,21/540,741/400 is 259350/4

Greatest Common Factor of 264,540,400 By Matching Biggest Common Factor Method

Greatest Common Factor of 264,540,400 By Matching Biggest Common Factor Method

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

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 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Greatest Common Factor

We found the factors 264,540,400 . The biggest common factor number is the GCF number.
So the greatest common factor 264,540,400 is 4.


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 50/264, 21/540, 741/400

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 50/264, 21/540, 741/400?

Answer: LCM of Numerators as per given numbers 50/264, 21/540, 741/400 is

LCM of Numerators i.e. for 50,21,741 is 259350

GCF of denominators i.e. for 264,540,400 is 4.

Thus, LCM of Fractions is 259350/4.Finally, LCM of Fractions for 50/264, 21/540, 741/400 is 259350/4.