Least Common Multiple of 99/52, 14/84, 72/320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 99/52, 14/84, 72/320 quickly i.e. 1386 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/52, 14/84, 72/320 is 1386.

LCM(99/52, 14/84, 72/320) = 1386

LCM of 99/52, 14/84, 72/320

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 99/52,14/84,72/320

Given numbers are 99/52,14/84,72/320

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 99,14,72

Least Common Multiple of Numerators i.e. LCM of 99,14,72 is 5544.

GCF of Denominators means GCF of 52,84,320 as per the given fractions.

GCF of 52,84,320 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,14,72

LCM of Fractions 99/52,14/84,72/320 is 1386

2 99, 14, 72
3 99, 7, 36
3 33, 7, 12
11, 7, 4

∴ So the LCM of the given numbers is 2 x 3 x 3 x 11 x 7 x 4 = 5544

Least Common Multiple of 99,14,72 with GCF Formula

Least Common Multiple of 99,14,72 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 99,14,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,14,72) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(99,14,72) x common factors =1 x 18 = 18

LCM(99,14,72) = ( 99 × 14 × 72 ) / 18

LCM(99,14,72) = 99792 / 18

LCM(99,14,72) = 5544


Lets's calculate GCF of 52,84,320

2 52, 84, 320
2 26, 42, 160
13, 21, 80

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5544/4

Therefore the LCM of Fractions 99/52,14/84,72/320 is 1386

Greatest Common Factor of 52,84,320 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,84,320 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Greatest Common Factor

We found the factors 52,84,320 . The biggest common factor number is the GCF number.
So the greatest common factor 52,84,320 is 4.


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 99/52, 14/84, 72/320

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 99/52, 14/84, 72/320?

Answer: LCM of Numerators as per given numbers 99/52, 14/84, 72/320 is

LCM of Numerators i.e. for 99,14,72 is 5544

GCF of denominators i.e. for 52,84,320 is 4.

Thus, LCM of Fractions is 1386.Finally, LCM of Fractions for 99/52, 14/84, 72/320 is 1386.