Least Common Multiple of 5213/852, 6164/5721

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5213/852, 6164/5721 quickly i.e. 32132932/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5213/852, 6164/5721 is 32132932/3.

LCM(5213/852, 6164/5721) = 32132932/3

LCM of 5213/852, 6164/5721

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 5213/852,6164/5721

Given numbers are 5213/852,6164/5721

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 5213,6164

Least Common Multiple of Numerators i.e. LCM of 5213,6164 is 32132932.

GCF of Denominators means GCF of 852,5721 as per the given fractions.

GCF of 852,5721 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5213,6164

LCM of Fractions 5213/852,6164/5721 is 32132932/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 32132932

Least Common Multiple of 5213,6164 with GCF Formula

Least Common Multiple of 5213,6164 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 5213,6164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5213,6164) = 1

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

GCF(5213,6164) x common factors =1 x 1 = 1

LCM(5213,6164) = ( 5213 × 6164 ) / 1

LCM(5213,6164) = 32132932 / 1

LCM(5213,6164) = 32132932


Lets's calculate GCF of 852,5721

3 852, 5721
284, 1907

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32132932/3

Therefore the LCM of Fractions 5213/852,6164/5721 is 32132932/3

Greatest Common Factor of 852,5721 By Matching Biggest Common Factor Method

Greatest Common Factor of 852,5721 By Matching Biggest Common Factor Method

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Factors of 5721

List of positive integer factors of 5721 that divides 5721 without a remainder.

1,3,1907,5721

Greatest Common Factor

We found the factors 852,5721 . The biggest common factor number is the GCF number.
So the greatest common factor 852,5721 is 3.


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 5213/852, 6164/5721

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 5213/852, 6164/5721?

Answer: LCM of Numerators as per given numbers 5213/852, 6164/5721 is

LCM of Numerators i.e. for 5213,6164 is 32132932

GCF of denominators i.e. for 852,5721 is 3.

Thus, LCM of Fractions is 32132932/3.Finally, LCM of Fractions for 5213/852, 6164/5721 is 32132932/3.