Least Common Multiple of 90/25, 90/43, 32/18, 30/141

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/25, 90/43, 32/18, 30/141 quickly i.e. 1440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/25, 90/43, 32/18, 30/141 is 1440.

LCM(90/25, 90/43, 32/18, 30/141) = 1440

LCM of 90/25, 90/43, 32/18, 30/141

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 90/25,90/43,32/18,30/141

Given numbers are 90/25,90/43,32/18,30/141

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 90,90,32,30

Least Common Multiple of Numerators i.e. LCM of 90,90,32,30 is 1440.

GCF of Denominators means GCF of 25,43,18,141 as per the given fractions.

GCF of 25,43,18,141 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,90,32,30

LCM of Fractions 90/25,90/43,32/18,30/141 is 1440

2 90, 90, 32, 30
3 45, 45, 16, 15
3 5, 15, 16, 15
5 5, 5, 16, 5
1, 1, 16, 1

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 1 x 1 x 16 x 1 = 1440

Least Common Multiple of 90,90,32,30 with GCF Formula

Least Common Multiple of 90,90,32,30 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 90,90,32,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,90,32,30) = 2

common factors(in case of two or more numbers have common factors) = 2700

GCF(90,90,32,30) x common factors =2 x 2700 = 5400

LCM(90,90,32,30) = ( 90 × 90 × 32 × 30 ) / 5400

LCM(90,90,32,30) = 7776000 / 5400

LCM(90,90,32,30) = 1440


Lets's calculate GCF of 25,43,18,141

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1440/1

Therefore the LCM of Fractions 90/25,90/43,32/18,30/141 is 1440

Greatest Common Factor of 25,43,18,141 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,43,18,141 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 18

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

1,2,3,6,9,18

Factors of 141

List of positive integer factors of 141 that divides 141 without a remainder.

1,3,47,141

Greatest Common Factor

We found the factors 25,43,18,141 . The biggest common factor number is the GCF number.
So the greatest common factor 25,43,18,141 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 90/25, 90/43, 32/18, 30/141

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 90/25, 90/43, 32/18, 30/141?

Answer: LCM of Numerators as per given numbers 90/25, 90/43, 32/18, 30/141 is

LCM of Numerators i.e. for 90,90,32,30 is 1440

GCF of denominators i.e. for 25,43,18,141 is 1.

Thus, LCM of Fractions is 1440.Finally, LCM of Fractions for 90/25, 90/43, 32/18, 30/141 is 1440.