Least Common Multiple of 5748/500, 3575/796

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5748/500, 3575/796 quickly i.e. 5137275 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5748/500, 3575/796 is 5137275.

LCM(5748/500, 3575/796) = 5137275

LCM of 5748/500, 3575/796

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 5748/500,3575/796

Given numbers are 5748/500,3575/796

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 5748,3575

Least Common Multiple of Numerators i.e. LCM of 5748,3575 is 20549100.

GCF of Denominators means GCF of 500,796 as per the given fractions.

GCF of 500,796 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5748,3575

LCM of Fractions 5748/500,3575/796 is 5137275

Given numbers has no common factors except 1. So, there LCM is their product i.e 20549100

Least Common Multiple of 5748,3575 with GCF Formula

Least Common Multiple of 5748,3575 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 5748,3575 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5748,3575) = 1

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

GCF(5748,3575) x common factors =1 x 1 = 1

LCM(5748,3575) = ( 5748 × 3575 ) / 1

LCM(5748,3575) = 20549100 / 1

LCM(5748,3575) = 20549100


Lets's calculate GCF of 500,796

2 500, 796
2 250, 398
125, 199

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20549100/4

Therefore the LCM of Fractions 5748/500,3575/796 is 5137275

Greatest Common Factor of 500,796 By Matching Biggest Common Factor Method

Greatest Common Factor of 500,796 By Matching Biggest Common Factor Method

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Greatest Common Factor

We found the factors 500,796 . The biggest common factor number is the GCF number.
So the greatest common factor 500,796 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 5748/500, 3575/796

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 5748/500, 3575/796?

Answer: LCM of Numerators as per given numbers 5748/500, 3575/796 is

LCM of Numerators i.e. for 5748,3575 is 20549100

GCF of denominators i.e. for 500,796 is 4.

Thus, LCM of Fractions is 5137275.Finally, LCM of Fractions for 5748/500, 3575/796 is 5137275.