Least Common Multiple of 734/50, 264/6876

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 734/50, 264/6876 quickly i.e. 48444 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 734/50, 264/6876 is 48444.

LCM(734/50, 264/6876) = 48444

LCM of 734/50, 264/6876

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 734/50,264/6876

Given numbers are 734/50,264/6876

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 734,264

Least Common Multiple of Numerators i.e. LCM of 734,264 is 96888.

GCF of Denominators means GCF of 50,6876 as per the given fractions.

GCF of 50,6876 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 734,264

LCM of Fractions 734/50,264/6876 is 48444

2 734, 264
367, 132

∴ So the LCM of the given numbers is 2 x 367 x 132 = 96888

Least Common Multiple of 734,264 with GCF Formula

Least Common Multiple of 734,264 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 734,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(734,264) = 2

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

GCF(734,264) x common factors =2 x 1 = 2

LCM(734,264) = ( 734 × 264 ) / 2

LCM(734,264) = 193776 / 2

LCM(734,264) = 96888


Lets's calculate GCF of 50,6876

2 50, 6876
25, 3438

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 96888/2

Therefore the LCM of Fractions 734/50,264/6876 is 48444

Greatest Common Factor of 50,6876 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,6876 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 6876

List of positive integer factors of 6876 that divides 6876 without a remainder.

1,2,3,4,6,9,12,18,36,191,382,573,764,1146,1719,2292,3438,6876

Greatest Common Factor

We found the factors 50,6876 . The biggest common factor number is the GCF number.
So the greatest common factor 50,6876 is 2.


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 734/50, 264/6876

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 734/50, 264/6876?

Answer: LCM of Numerators as per given numbers 734/50, 264/6876 is

LCM of Numerators i.e. for 734,264 is 96888

GCF of denominators i.e. for 50,6876 is 2.

Thus, LCM of Fractions is 48444.Finally, LCM of Fractions for 734/50, 264/6876 is 48444.