Least Common Multiple of 90/18, 42/75, 63/21, 12/749

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/18, 42/75, 63/21, 12/749 quickly i.e. 1260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/18, 42/75, 63/21, 12/749 is 1260.

LCM(90/18, 42/75, 63/21, 12/749) = 1260

LCM of 90/18, 42/75, 63/21, 12/749

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 90/18,42/75,63/21,12/749

Given numbers are 90/18,42/75,63/21,12/749

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 90,42,63,12

Least Common Multiple of Numerators i.e. LCM of 90,42,63,12 is 1260.

GCF of Denominators means GCF of 18,75,21,749 as per the given fractions.

GCF of 18,75,21,749 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,42,63,12

LCM of Fractions 90/18,42/75,63/21,12/749 is 1260

2 90, 42, 63, 12
3 45, 21, 63, 6
3 15, 7, 21, 2
7 5, 7, 7, 2
5, 1, 1, 2

∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 5 x 1 x 1 x 2 = 1260

Least Common Multiple of 90,42,63,12 with GCF Formula

Least Common Multiple of 90,42,63,12 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 90,42,63,12 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,42,63,12) = 3

common factors(in case of two or more numbers have common factors) = 756

GCF(90,42,63,12) x common factors =3 x 756 = 2268

LCM(90,42,63,12) = ( 90 × 42 × 63 × 12 ) / 2268

LCM(90,42,63,12) = 2857680 / 2268

LCM(90,42,63,12) = 1260


Lets's calculate GCF of 18,75,21,749

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1260/1

Therefore the LCM of Fractions 90/18,42/75,63/21,12/749 is 1260

Greatest Common Factor of 18,75,21,749 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,75,21,749 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 75

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

1,3,5,15,25,75

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Greatest Common Factor

We found the factors 18,75,21,749 . The biggest common factor number is the GCF number.
So the greatest common factor 18,75,21,749 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 90/18, 42/75, 63/21, 12/749

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 90/18, 42/75, 63/21, 12/749?

Answer: LCM of Numerators as per given numbers 90/18, 42/75, 63/21, 12/749 is

LCM of Numerators i.e. for 90,42,63,12 is 1260

GCF of denominators i.e. for 18,75,21,749 is 1.

Thus, LCM of Fractions is 1260.Finally, LCM of Fractions for 90/18, 42/75, 63/21, 12/749 is 1260.