Least Common Multiple of 117/99, 900/96, 504/620

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 117/99, 900/96, 504/620 quickly i.e. 163800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 117/99, 900/96, 504/620 is 163800.

LCM(117/99, 900/96, 504/620) = 163800

LCM of 117/99, 900/96, 504/620

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 117/99,900/96,504/620

Given numbers are 117/99,900/96,504/620

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 117,900,504

Least Common Multiple of Numerators i.e. LCM of 117,900,504 is 163800.

GCF of Denominators means GCF of 99,96,620 as per the given fractions.

GCF of 99,96,620 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 117,900,504

LCM of Fractions 117/99,900/96,504/620 is 163800

2 117, 900, 504
2 117, 450, 252
3 117, 225, 126
3 39, 75, 42
13, 25, 14

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 13 x 25 x 14 = 163800

Least Common Multiple of 117,900,504 with GCF Formula

Least Common Multiple of 117,900,504 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 117,900,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(117,900,504) = 9

common factors(in case of two or more numbers have common factors) = 36

GCF(117,900,504) x common factors =9 x 36 = 324

LCM(117,900,504) = ( 117 × 900 × 504 ) / 324

LCM(117,900,504) = 53071200 / 324

LCM(117,900,504) = 163800


Lets's calculate GCF of 99,96,620

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 163800/1

Therefore the LCM of Fractions 117/99,900/96,504/620 is 163800

Greatest Common Factor of 99,96,620 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,96,620 By Matching Biggest Common Factor Method

Factors of 99

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

1,3,9,11,33,99

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Greatest Common Factor

We found the factors 99,96,620 . The biggest common factor number is the GCF number.
So the greatest common factor 99,96,620 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 117/99, 900/96, 504/620

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 117/99, 900/96, 504/620?

Answer: LCM of Numerators as per given numbers 117/99, 900/96, 504/620 is

LCM of Numerators i.e. for 117,900,504 is 163800

GCF of denominators i.e. for 99,96,620 is 1.

Thus, LCM of Fractions is 163800.Finally, LCM of Fractions for 117/99, 900/96, 504/620 is 163800.