Least Common Multiple of 99/468, 23/626, 120/744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 99/468, 23/626, 120/744 quickly i.e. 45540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/468, 23/626, 120/744 is 45540.

LCM(99/468, 23/626, 120/744) = 45540

LCM of 99/468, 23/626, 120/744

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 99/468,23/626,120/744

Given numbers are 99/468,23/626,120/744

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 99,23,120

Least Common Multiple of Numerators i.e. LCM of 99,23,120 is 91080.

GCF of Denominators means GCF of 468,626,744 as per the given fractions.

GCF of 468,626,744 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,23,120

LCM of Fractions 99/468,23/626,120/744 is 45540

3 99, 23, 120
33, 23, 40

∴ So the LCM of the given numbers is 3 x 33 x 23 x 40 = 91080

Least Common Multiple of 99,23,120 with GCF Formula

Least Common Multiple of 99,23,120 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 99,23,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,23,120) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(99,23,120) x common factors =1 x 3 = 3

LCM(99,23,120) = ( 99 × 23 × 120 ) / 3

LCM(99,23,120) = 273240 / 3

LCM(99,23,120) = 91080


Lets's calculate GCF of 468,626,744

2 468, 626, 744
234, 313, 372

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 91080/2

Therefore the LCM of Fractions 99/468,23/626,120/744 is 45540

Greatest Common Factor of 468,626,744 By Matching Biggest Common Factor Method

Greatest Common Factor of 468,626,744 By Matching Biggest Common Factor Method

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Greatest Common Factor

We found the factors 468,626,744 . The biggest common factor number is the GCF number.
So the greatest common factor 468,626,744 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 99/468, 23/626, 120/744

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 99/468, 23/626, 120/744?

Answer: LCM of Numerators as per given numbers 99/468, 23/626, 120/744 is

LCM of Numerators i.e. for 99,23,120 is 91080

GCF of denominators i.e. for 468,626,744 is 2.

Thus, LCM of Fractions is 45540.Finally, LCM of Fractions for 99/468, 23/626, 120/744 is 45540.