Least Common Multiple of 12/98, 189/38, 524/264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/98, 189/38, 524/264 quickly i.e. 49518 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/98, 189/38, 524/264 is 49518.

LCM(12/98, 189/38, 524/264) = 49518

LCM of 12/98, 189/38, 524/264

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 12/98,189/38,524/264

Given numbers are 12/98,189/38,524/264

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 12,189,524

Least Common Multiple of Numerators i.e. LCM of 12,189,524 is 99036.

GCF of Denominators means GCF of 98,38,264 as per the given fractions.

GCF of 98,38,264 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,189,524

LCM of Fractions 12/98,189/38,524/264 is 49518

2 12, 189, 524
2 6, 189, 262
3 3, 189, 131
1, 63, 131

∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 63 x 131 = 99036

Least Common Multiple of 12,189,524 with GCF Formula

Least Common Multiple of 12,189,524 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 12,189,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,189,524) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(12,189,524) x common factors =1 x 12 = 12

LCM(12,189,524) = ( 12 × 189 × 524 ) / 12

LCM(12,189,524) = 1188432 / 12

LCM(12,189,524) = 99036


Lets's calculate GCF of 98,38,264

2 98, 38, 264
49, 19, 132

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 99036/2

Therefore the LCM of Fractions 12/98,189/38,524/264 is 49518

Greatest Common Factor of 98,38,264 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,38,264 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Greatest Common Factor

We found the factors 98,38,264 . The biggest common factor number is the GCF number.
So the greatest common factor 98,38,264 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 12/98, 189/38, 524/264

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 12/98, 189/38, 524/264?

Answer: LCM of Numerators as per given numbers 12/98, 189/38, 524/264 is

LCM of Numerators i.e. for 12,189,524 is 99036

GCF of denominators i.e. for 98,38,264 is 2.

Thus, LCM of Fractions is 49518.Finally, LCM of Fractions for 12/98, 189/38, 524/264 is 49518.