Least Common Multiple of 90/42, 94/81, 90/24, 37/542

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/42, 94/81, 90/24, 37/542 quickly i.e. 156510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/42, 94/81, 90/24, 37/542 is 156510.

LCM(90/42, 94/81, 90/24, 37/542) = 156510

LCM of 90/42, 94/81, 90/24, 37/542

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 90/42,94/81,90/24,37/542

Given numbers are 90/42,94/81,90/24,37/542

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 90,94,90,37

Least Common Multiple of Numerators i.e. LCM of 90,94,90,37 is 156510.

GCF of Denominators means GCF of 42,81,24,542 as per the given fractions.

GCF of 42,81,24,542 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,94,90,37

LCM of Fractions 90/42,94/81,90/24,37/542 is 156510

2 90, 94, 90, 37
3 45, 47, 45, 37
3 15, 47, 15, 37
5 5, 47, 5, 37
1, 47, 1, 37

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 1 x 47 x 1 x 37 = 156510

Least Common Multiple of 90,94,90,37 with GCF Formula

Least Common Multiple of 90,94,90,37 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 90,94,90,37 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,94,90,37) = 1

common factors(in case of two or more numbers have common factors) = 180

GCF(90,94,90,37) x common factors =1 x 180 = 180

LCM(90,94,90,37) = ( 90 × 94 × 90 × 37 ) / 180

LCM(90,94,90,37) = 28171800 / 180

LCM(90,94,90,37) = 156510


Lets's calculate GCF of 42,81,24,542

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 156510/1

Therefore the LCM of Fractions 90/42,94/81,90/24,37/542 is 156510

Greatest Common Factor of 42,81,24,542 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,81,24,542 By Matching Biggest Common Factor Method

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 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Greatest Common Factor

We found the factors 42,81,24,542 . The biggest common factor number is the GCF number.
So the greatest common factor 42,81,24,542 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 90/42, 94/81, 90/24, 37/542

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 90/42, 94/81, 90/24, 37/542?

Answer: LCM of Numerators as per given numbers 90/42, 94/81, 90/24, 37/542 is

LCM of Numerators i.e. for 90,94,90,37 is 156510

GCF of denominators i.e. for 42,81,24,542 is 1.

Thus, LCM of Fractions is 156510.Finally, LCM of Fractions for 90/42, 94/81, 90/24, 37/542 is 156510.