Least Common Multiple of 12/215, 547/299, 998/538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/215, 547/299, 998/538 quickly i.e. 3275436 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/215, 547/299, 998/538 is 3275436.

LCM(12/215, 547/299, 998/538) = 3275436

LCM of 12/215, 547/299, 998/538

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 12/215,547/299,998/538

Given numbers are 12/215,547/299,998/538

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 12,547,998

Least Common Multiple of Numerators i.e. LCM of 12,547,998 is 3275436.

GCF of Denominators means GCF of 215,299,538 as per the given fractions.

GCF of 215,299,538 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,547,998

LCM of Fractions 12/215,547/299,998/538 is 3275436

2 12, 547, 998
6, 547, 499

∴ So the LCM of the given numbers is 2 x 6 x 547 x 499 = 3275436

Least Common Multiple of 12,547,998 with GCF Formula

Least Common Multiple of 12,547,998 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 12,547,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,547,998) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(12,547,998) x common factors =1 x 2 = 2

LCM(12,547,998) = ( 12 × 547 × 998 ) / 2

LCM(12,547,998) = 6550872 / 2

LCM(12,547,998) = 3275436


Lets's calculate GCF of 215,299,538

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3275436/1

Therefore the LCM of Fractions 12/215,547/299,998/538 is 3275436

Greatest Common Factor of 215,299,538 By Matching Biggest Common Factor Method

Greatest Common Factor of 215,299,538 By Matching Biggest Common Factor Method

Factors of 215

List of positive integer factors of 215 that divides 215 without a remainder.

1,5,43,215

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

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 215,299,538 . The biggest common factor number is the GCF number.
So the greatest common factor 215,299,538 is 1.


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 12/215, 547/299, 998/538

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 12/215, 547/299, 998/538?

Answer: LCM of Numerators as per given numbers 12/215, 547/299, 998/538 is

LCM of Numerators i.e. for 12,547,998 is 3275436

GCF of denominators i.e. for 215,299,538 is 1.

Thus, LCM of Fractions is 3275436.Finally, LCM of Fractions for 12/215, 547/299, 998/538 is 3275436.