Least Common Multiple of 63/75, 52/90, 42/82, 69/172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 63/75, 52/90, 42/82, 69/172 quickly i.e. 75348 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 63/75, 52/90, 42/82, 69/172 is 75348.

LCM(63/75, 52/90, 42/82, 69/172) = 75348

LCM of 63/75, 52/90, 42/82, 69/172

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 63/75,52/90,42/82,69/172

Given numbers are 63/75,52/90,42/82,69/172

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 63,52,42,69

Least Common Multiple of Numerators i.e. LCM of 63,52,42,69 is 75348.

GCF of Denominators means GCF of 75,90,82,172 as per the given fractions.

GCF of 75,90,82,172 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 63,52,42,69

LCM of Fractions 63/75,52/90,42/82,69/172 is 75348

2 63, 52, 42, 69
3 63, 26, 21, 69
7 7, 26, 21, 23
1, 26, 3, 23

∴ So the LCM of the given numbers is 2 x 3 x 7 x 1 x 26 x 3 x 23 = 75348

Least Common Multiple of 63,52,42,69 with GCF Formula

Least Common Multiple of 63,52,42,69 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 63,52,42,69 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,52,42,69) = 1

common factors(in case of two or more numbers have common factors) = 126

GCF(63,52,42,69) x common factors =1 x 126 = 126

LCM(63,52,42,69) = ( 63 × 52 × 42 × 69 ) / 126

LCM(63,52,42,69) = 9493848 / 126

LCM(63,52,42,69) = 75348


Lets's calculate GCF of 75,90,82,172

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75348/1

Therefore the LCM of Fractions 63/75,52/90,42/82,69/172 is 75348

Greatest Common Factor of 75,90,82,172 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,90,82,172 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 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1,2,4,43,86,172

Greatest Common Factor

We found the factors 75,90,82,172 . The biggest common factor number is the GCF number.
So the greatest common factor 75,90,82,172 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 63/75, 52/90, 42/82, 69/172

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 63/75, 52/90, 42/82, 69/172?

Answer: LCM of Numerators as per given numbers 63/75, 52/90, 42/82, 69/172 is

LCM of Numerators i.e. for 63,52,42,69 is 75348

GCF of denominators i.e. for 75,90,82,172 is 1.

Thus, LCM of Fractions is 75348.Finally, LCM of Fractions for 63/75, 52/90, 42/82, 69/172 is 75348.