Least Common Multiple of 90/19, 19/42, 72/64, 54/302

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/19, 19/42, 72/64, 54/302 quickly i.e. 20520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/19, 19/42, 72/64, 54/302 is 20520.

LCM(90/19, 19/42, 72/64, 54/302) = 20520

LCM of 90/19, 19/42, 72/64, 54/302

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 90/19,19/42,72/64,54/302

Given numbers are 90/19,19/42,72/64,54/302

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 90,19,72,54

Least Common Multiple of Numerators i.e. LCM of 90,19,72,54 is 20520.

GCF of Denominators means GCF of 19,42,64,302 as per the given fractions.

GCF of 19,42,64,302 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,19,72,54

LCM of Fractions 90/19,19/42,72/64,54/302 is 20520

2 90, 19, 72, 54
3 45, 19, 36, 27
3 15, 19, 12, 9
5, 19, 4, 3

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 19 x 4 x 3 = 20520

Least Common Multiple of 90,19,72,54 with GCF Formula

Least Common Multiple of 90,19,72,54 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 90,19,72,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,19,72,54) = 1

common factors(in case of two or more numbers have common factors) = 324

GCF(90,19,72,54) x common factors =1 x 324 = 324

LCM(90,19,72,54) = ( 90 × 19 × 72 × 54 ) / 324

LCM(90,19,72,54) = 6648480 / 324

LCM(90,19,72,54) = 20520


Lets's calculate GCF of 19,42,64,302

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20520/1

Therefore the LCM of Fractions 90/19,19/42,72/64,54/302 is 20520

Greatest Common Factor of 19,42,64,302 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,42,64,302 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 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Greatest Common Factor

We found the factors 19,42,64,302 . The biggest common factor number is the GCF number.
So the greatest common factor 19,42,64,302 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 90/19, 19/42, 72/64, 54/302

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 90/19, 19/42, 72/64, 54/302?

Answer: LCM of Numerators as per given numbers 90/19, 19/42, 72/64, 54/302 is

LCM of Numerators i.e. for 90,19,72,54 is 20520

GCF of denominators i.e. for 19,42,64,302 is 1.

Thus, LCM of Fractions is 20520.Finally, LCM of Fractions for 90/19, 19/42, 72/64, 54/302 is 20520.