Least Common Multiple of 90/54, 64/290, 188/290

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/54, 64/290, 188/290 quickly i.e. 67680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/54, 64/290, 188/290 is 67680.

LCM(90/54, 64/290, 188/290) = 67680

LCM of 90/54, 64/290, 188/290

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 90/54,64/290,188/290

Given numbers are 90/54,64/290,188/290

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 90,64,188

Least Common Multiple of Numerators i.e. LCM of 90,64,188 is 135360.

GCF of Denominators means GCF of 54,290,290 as per the given fractions.

GCF of 54,290,290 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,64,188

LCM of Fractions 90/54,64/290,188/290 is 67680

2 90, 64, 188
2 45, 32, 94
45, 16, 47

∴ So the LCM of the given numbers is 2 x 2 x 45 x 16 x 47 = 135360

Least Common Multiple of 90,64,188 with GCF Formula

Least Common Multiple of 90,64,188 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 90,64,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,64,188) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(90,64,188) x common factors =2 x 4 = 8

LCM(90,64,188) = ( 90 × 64 × 188 ) / 8

LCM(90,64,188) = 1082880 / 8

LCM(90,64,188) = 135360


Lets's calculate GCF of 54,290,290

2 54, 290, 290
27, 145, 145

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 135360/2

Therefore the LCM of Fractions 90/54,64/290,188/290 is 67680

Greatest Common Factor of 54,290,290 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,290,290 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Greatest Common Factor

We found the factors 54,290,290 . The biggest common factor number is the GCF number.
So the greatest common factor 54,290,290 is 2.


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 90/54, 64/290, 188/290

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 90/54, 64/290, 188/290?

Answer: LCM of Numerators as per given numbers 90/54, 64/290, 188/290 is

LCM of Numerators i.e. for 90,64,188 is 135360

GCF of denominators i.e. for 54,290,290 is 2.

Thus, LCM of Fractions is 67680.Finally, LCM of Fractions for 90/54, 64/290, 188/290 is 67680.