Least Common Multiple of 12/19, 72/37, 90/68, 18/547

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/19, 72/37, 90/68, 18/547 quickly i.e. 360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/19, 72/37, 90/68, 18/547 is 360.

LCM(12/19, 72/37, 90/68, 18/547) = 360

LCM of 12/19, 72/37, 90/68, 18/547

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 12/19,72/37,90/68,18/547

Given numbers are 12/19,72/37,90/68,18/547

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 12,72,90,18

Least Common Multiple of Numerators i.e. LCM of 12,72,90,18 is 360.

GCF of Denominators means GCF of 19,37,68,547 as per the given fractions.

GCF of 19,37,68,547 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,72,90,18

LCM of Fractions 12/19,72/37,90/68,18/547 is 360

2 12, 72, 90, 18
2 6, 36, 45, 9
3 3, 18, 45, 9
3 1, 6, 15, 3
1, 2, 5, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 1 x 2 x 5 x 1 = 360

Least Common Multiple of 12,72,90,18 with GCF Formula

Least Common Multiple of 12,72,90,18 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 12,72,90,18 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,72,90,18) = 6

common factors(in case of two or more numbers have common factors) = 648

GCF(12,72,90,18) x common factors =6 x 648 = 3888

LCM(12,72,90,18) = ( 12 × 72 × 90 × 18 ) / 3888

LCM(12,72,90,18) = 1399680 / 3888

LCM(12,72,90,18) = 360


Lets's calculate GCF of 19,37,68,547

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 360/1

Therefore the LCM of Fractions 12/19,72/37,90/68,18/547 is 360

Greatest Common Factor of 19,37,68,547 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,37,68,547 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 547

List of positive integer factors of 547 that divides 547 without a remainder.

1,547

Greatest Common Factor

We found the factors 19,37,68,547 . The biggest common factor number is the GCF number.
So the greatest common factor 19,37,68,547 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 12/19, 72/37, 90/68, 18/547

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 12/19, 72/37, 90/68, 18/547?

Answer: LCM of Numerators as per given numbers 12/19, 72/37, 90/68, 18/547 is

LCM of Numerators i.e. for 12,72,90,18 is 360

GCF of denominators i.e. for 19,37,68,547 is 1.

Thus, LCM of Fractions is 360.Finally, LCM of Fractions for 12/19, 72/37, 90/68, 18/547 is 360.