Least Common Multiple of 50/740, 5596/8244

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 50/740, 5596/8244 quickly i.e. 34975 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/740, 5596/8244 is 34975.

LCM(50/740, 5596/8244) = 34975

LCM of 50/740, 5596/8244

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 50/740,5596/8244

Given numbers are 50/740,5596/8244

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 50,5596

Least Common Multiple of Numerators i.e. LCM of 50,5596 is 139900.

GCF of Denominators means GCF of 740,8244 as per the given fractions.

GCF of 740,8244 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,5596

LCM of Fractions 50/740,5596/8244 is 34975

2 50, 5596
25, 2798

∴ So the LCM of the given numbers is 2 x 25 x 2798 = 139900

Least Common Multiple of 50,5596 with GCF Formula

Least Common Multiple of 50,5596 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 50,5596 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,5596) = 2

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

GCF(50,5596) x common factors =2 x 1 = 2

LCM(50,5596) = ( 50 × 5596 ) / 2

LCM(50,5596) = 279800 / 2

LCM(50,5596) = 139900


Lets's calculate GCF of 740,8244

2 740, 8244
2 370, 4122
185, 2061

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 139900/4

Therefore the LCM of Fractions 50/740,5596/8244 is 34975

Greatest Common Factor of 740,8244 By Matching Biggest Common Factor Method

Greatest Common Factor of 740,8244 By Matching Biggest Common Factor Method

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Factors of 8244

List of positive integer factors of 8244 that divides 8244 without a remainder.

1,2,3,4,6,9,12,18,36,229,458,687,916,1374,2061,2748,4122,8244

Greatest Common Factor

We found the factors 740,8244 . The biggest common factor number is the GCF number.
So the greatest common factor 740,8244 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 50/740, 5596/8244

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 50/740, 5596/8244?

Answer: LCM of Numerators as per given numbers 50/740, 5596/8244 is

LCM of Numerators i.e. for 50,5596 is 139900

GCF of denominators i.e. for 740,8244 is 4.

Thus, LCM of Fractions is 34975.Finally, LCM of Fractions for 50/740, 5596/8244 is 34975.