Least Common Multiple of 98/27, 51/99, 24/72, 11/672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 98/27, 51/99, 24/72, 11/672 quickly i.e. 73304 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/27, 51/99, 24/72, 11/672 is 73304.

LCM(98/27, 51/99, 24/72, 11/672) = 73304

LCM of 98/27, 51/99, 24/72, 11/672

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 98/27,51/99,24/72,11/672

Given numbers are 98/27,51/99,24/72,11/672

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 98,51,24,11

Least Common Multiple of Numerators i.e. LCM of 98,51,24,11 is 219912.

GCF of Denominators means GCF of 27,99,72,672 as per the given fractions.

GCF of 27,99,72,672 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,51,24,11

LCM of Fractions 98/27,51/99,24/72,11/672 is 73304

2 98, 51, 24, 11
3 49, 51, 12, 11
49, 17, 4, 11

∴ So the LCM of the given numbers is 2 x 3 x 49 x 17 x 4 x 11 = 219912

Least Common Multiple of 98,51,24,11 with GCF Formula

Least Common Multiple of 98,51,24,11 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 98,51,24,11 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,51,24,11) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(98,51,24,11) x common factors =1 x 6 = 6

LCM(98,51,24,11) = ( 98 × 51 × 24 × 11 ) / 6

LCM(98,51,24,11) = 1319472 / 6

LCM(98,51,24,11) = 219912


Lets's calculate GCF of 27,99,72,672

3 27, 99, 72, 672
9, 33, 24, 224

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 219912/3

Therefore the LCM of Fractions 98/27,51/99,24/72,11/672 is 73304

Greatest Common Factor of 27,99,72,672 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,99,72,672 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Greatest Common Factor

We found the factors 27,99,72,672 . The biggest common factor number is the GCF number.
So the greatest common factor 27,99,72,672 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 98/27, 51/99, 24/72, 11/672

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 98/27, 51/99, 24/72, 11/672?

Answer: LCM of Numerators as per given numbers 98/27, 51/99, 24/72, 11/672 is

LCM of Numerators i.e. for 98,51,24,11 is 219912

GCF of denominators i.e. for 27,99,72,672 is 3.

Thus, LCM of Fractions is 73304.Finally, LCM of Fractions for 98/27, 51/99, 24/72, 11/672 is 73304.