Least Common Multiple of 99/20, 96/12, 48/59, 23/630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 99/20, 96/12, 48/59, 23/630 quickly i.e. 72864 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/20, 96/12, 48/59, 23/630 is 72864.

LCM(99/20, 96/12, 48/59, 23/630) = 72864

LCM of 99/20, 96/12, 48/59, 23/630

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 99/20,96/12,48/59,23/630

Given numbers are 99/20,96/12,48/59,23/630

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 99,96,48,23

Least Common Multiple of Numerators i.e. LCM of 99,96,48,23 is 72864.

GCF of Denominators means GCF of 20,12,59,630 as per the given fractions.

GCF of 20,12,59,630 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,96,48,23

LCM of Fractions 99/20,96/12,48/59,23/630 is 72864

2 99, 96, 48, 23
2 99, 48, 24, 23
2 99, 12, 24, 23
2 99, 6, 12, 23
3 99, 3, 6, 23
33, 1, 2, 23

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 33 x 1 x 2 x 23 = 72864

Least Common Multiple of 99,96,48,23 with GCF Formula

Least Common Multiple of 99,96,48,23 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 99,96,48,23 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,96,48,23) = 1

common factors(in case of two or more numbers have common factors) = 144

GCF(99,96,48,23) x common factors =1 x 144 = 144

LCM(99,96,48,23) = ( 99 × 96 × 48 × 23 ) / 144

LCM(99,96,48,23) = 10492416 / 144

LCM(99,96,48,23) = 72864


Lets's calculate GCF of 20,12,59,630

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72864/1

Therefore the LCM of Fractions 99/20,96/12,48/59,23/630 is 72864

Greatest Common Factor of 20,12,59,630 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,12,59,630 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Greatest Common Factor

We found the factors 20,12,59,630 . The biggest common factor number is the GCF number.
So the greatest common factor 20,12,59,630 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 99/20, 96/12, 48/59, 23/630

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 99/20, 96/12, 48/59, 23/630?

Answer: LCM of Numerators as per given numbers 99/20, 96/12, 48/59, 23/630 is

LCM of Numerators i.e. for 99,96,48,23 is 72864

GCF of denominators i.e. for 20,12,59,630 is 1.

Thus, LCM of Fractions is 72864.Finally, LCM of Fractions for 99/20, 96/12, 48/59, 23/630 is 72864.