Least Common Multiple of 864/50, 774/7539

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 864/50, 774/7539 quickly i.e. 37152 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 864/50, 774/7539 is 37152.

LCM(864/50, 774/7539) = 37152

LCM of 864/50, 774/7539

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 864/50,774/7539

Given numbers are 864/50,774/7539

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 864,774

Least Common Multiple of Numerators i.e. LCM of 864,774 is 37152.

GCF of Denominators means GCF of 50,7539 as per the given fractions.

GCF of 50,7539 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 864,774

LCM of Fractions 864/50,774/7539 is 37152

2 864, 774
3 432, 387
3 144, 129
48, 43

∴ So the LCM of the given numbers is 2 x 3 x 3 x 48 x 43 = 37152

Least Common Multiple of 864,774 with GCF Formula

Least Common Multiple of 864,774 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 864,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(864,774) = 18

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

GCF(864,774) x common factors =18 x 1 = 18

LCM(864,774) = ( 864 × 774 ) / 18

LCM(864,774) = 668736 / 18

LCM(864,774) = 37152


Lets's calculate GCF of 50,7539

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37152/1

Therefore the LCM of Fractions 864/50,774/7539 is 37152

Greatest Common Factor of 50,7539 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,7539 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 7539

List of positive integer factors of 7539 that divides 7539 without a remainder.

1,3,7,21,359,1077,2513,7539

Greatest Common Factor

We found the factors 50,7539 . The biggest common factor number is the GCF number.
So the greatest common factor 50,7539 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 864/50, 774/7539

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 864/50, 774/7539?

Answer: LCM of Numerators as per given numbers 864/50, 774/7539 is

LCM of Numerators i.e. for 864,774 is 37152

GCF of denominators i.e. for 50,7539 is 1.

Thus, LCM of Fractions is 37152.Finally, LCM of Fractions for 864/50, 774/7539 is 37152.