Least Common Multiple of 872/208, 4661/538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 872/208, 4661/538 quickly i.e. 2032196 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 872/208, 4661/538 is 2032196.

LCM(872/208, 4661/538) = 2032196

LCM of 872/208, 4661/538

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 872/208,4661/538

Given numbers are 872/208,4661/538

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 872,4661

Least Common Multiple of Numerators i.e. LCM of 872,4661 is 4064392.

GCF of Denominators means GCF of 208,538 as per the given fractions.

GCF of 208,538 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 872,4661

LCM of Fractions 872/208,4661/538 is 2032196

Given numbers has no common factors except 1. So, there LCM is their product i.e 4064392

Least Common Multiple of 872,4661 with GCF Formula

Least Common Multiple of 872,4661 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 872,4661 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(872,4661) = 1

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

GCF(872,4661) x common factors =1 x 1 = 1

LCM(872,4661) = ( 872 × 4661 ) / 1

LCM(872,4661) = 4064392 / 1

LCM(872,4661) = 4064392


Lets's calculate GCF of 208,538

2 208, 538
104, 269

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4064392/2

Therefore the LCM of Fractions 872/208,4661/538 is 2032196

Greatest Common Factor of 208,538 By Matching Biggest Common Factor Method

Greatest Common Factor of 208,538 By Matching Biggest Common Factor Method

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Greatest Common Factor

We found the factors 208,538 . The biggest common factor number is the GCF number.
So the greatest common factor 208,538 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 872/208, 4661/538

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 872/208, 4661/538?

Answer: LCM of Numerators as per given numbers 872/208, 4661/538 is

LCM of Numerators i.e. for 872,4661 is 4064392

GCF of denominators i.e. for 208,538 is 2.

Thus, LCM of Fractions is 2032196.Finally, LCM of Fractions for 872/208, 4661/538 is 2032196.