Least Common Multiple of 663/75, 624/9169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 663/75, 624/9169 quickly i.e. 10608 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 663/75, 624/9169 is 10608.

LCM(663/75, 624/9169) = 10608

LCM of 663/75, 624/9169

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 663/75,624/9169

Given numbers are 663/75,624/9169

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 663,624

Least Common Multiple of Numerators i.e. LCM of 663,624 is 10608.

GCF of Denominators means GCF of 75,9169 as per the given fractions.

GCF of 75,9169 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 663,624

LCM of Fractions 663/75,624/9169 is 10608

3 663, 624
13 221, 208
17, 16

∴ So the LCM of the given numbers is 3 x 13 x 17 x 16 = 10608

Least Common Multiple of 663,624 with GCF Formula

Least Common Multiple of 663,624 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 663,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(663,624) = 39

common factors(in case of two or more numbers have common factors) = 1

GCF(663,624) x common factors =39 x 1 = 39

LCM(663,624) = ( 663 × 624 ) / 39

LCM(663,624) = 413712 / 39

LCM(663,624) = 10608


Lets's calculate GCF of 75,9169

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10608/1

Therefore the LCM of Fractions 663/75,624/9169 is 10608

Greatest Common Factor of 75,9169 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,9169 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 9169

List of positive integer factors of 9169 that divides 9169 without a remainder.

1,53,173,9169

Greatest Common Factor

We found the factors 75,9169 . The biggest common factor number is the GCF number.
So the greatest common factor 75,9169 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 663/75, 624/9169

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 663/75, 624/9169?

Answer: LCM of Numerators as per given numbers 663/75, 624/9169 is

LCM of Numerators i.e. for 663,624 is 10608

GCF of denominators i.e. for 75,9169 is 1.

Thus, LCM of Fractions is 10608.Finally, LCM of Fractions for 663/75, 624/9169 is 10608.