Least Common Multiple of 72/13, 93/89, 488/308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/13, 93/89, 488/308 quickly i.e. 136152 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/13, 93/89, 488/308 is 136152.

LCM(72/13, 93/89, 488/308) = 136152

LCM of 72/13, 93/89, 488/308

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 72/13,93/89,488/308

Given numbers are 72/13,93/89,488/308

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 72,93,488

Least Common Multiple of Numerators i.e. LCM of 72,93,488 is 136152.

GCF of Denominators means GCF of 13,89,308 as per the given fractions.

GCF of 13,89,308 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,93,488

LCM of Fractions 72/13,93/89,488/308 is 136152

2 72, 93, 488
2 36, 93, 244
2 18, 93, 122
3 9, 93, 61
3, 31, 61

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 31 x 61 = 136152

Least Common Multiple of 72,93,488 with GCF Formula

Least Common Multiple of 72,93,488 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 72,93,488 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,93,488) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(72,93,488) x common factors =1 x 24 = 24

LCM(72,93,488) = ( 72 × 93 × 488 ) / 24

LCM(72,93,488) = 3267648 / 24

LCM(72,93,488) = 136152


Lets's calculate GCF of 13,89,308

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 136152/1

Therefore the LCM of Fractions 72/13,93/89,488/308 is 136152

Greatest Common Factor of 13,89,308 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,89,308 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Greatest Common Factor

We found the factors 13,89,308 . The biggest common factor number is the GCF number.
So the greatest common factor 13,89,308 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 72/13, 93/89, 488/308

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 72/13, 93/89, 488/308?

Answer: LCM of Numerators as per given numbers 72/13, 93/89, 488/308 is

LCM of Numerators i.e. for 72,93,488 is 136152

GCF of denominators i.e. for 13,89,308 is 1.

Thus, LCM of Fractions is 136152.Finally, LCM of Fractions for 72/13, 93/89, 488/308 is 136152.