Least Common Multiple of 90/147, 743/89, 139/115

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/147, 743/89, 139/115 quickly i.e. 9294930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/147, 743/89, 139/115 is 9294930.

LCM(90/147, 743/89, 139/115) = 9294930

LCM of 90/147, 743/89, 139/115

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 90/147,743/89,139/115

Given numbers are 90/147,743/89,139/115

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 90,743,139

Least Common Multiple of Numerators i.e. LCM of 90,743,139 is 9294930.

GCF of Denominators means GCF of 147,89,115 as per the given fractions.

GCF of 147,89,115 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,743,139

LCM of Fractions 90/147,743/89,139/115 is 9294930

Given numbers has no common factors except 1. So, there LCM is their product i.e 9294930

Least Common Multiple of 90,743,139 with GCF Formula

Least Common Multiple of 90,743,139 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 90,743,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,743,139) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(90,743,139) x common factors =1 x 1 = 1

LCM(90,743,139) = ( 90 × 743 × 139 ) / 1

LCM(90,743,139) = 9294930 / 1

LCM(90,743,139) = 9294930


Lets's calculate GCF of 147,89,115

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9294930/1

Therefore the LCM of Fractions 90/147,743/89,139/115 is 9294930

Greatest Common Factor of 147,89,115 By Matching Biggest Common Factor Method

Greatest Common Factor of 147,89,115 By Matching Biggest Common Factor Method

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 115

List of positive integer factors of 115 that divides 115 without a remainder.

1,5,23,115

Greatest Common Factor

We found the factors 147,89,115 . The biggest common factor number is the GCF number.
So the greatest common factor 147,89,115 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 90/147, 743/89, 139/115

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 90/147, 743/89, 139/115?

Answer: LCM of Numerators as per given numbers 90/147, 743/89, 139/115 is

LCM of Numerators i.e. for 90,743,139 is 9294930

GCF of denominators i.e. for 147,89,115 is 1.

Thus, LCM of Fractions is 9294930.Finally, LCM of Fractions for 90/147, 743/89, 139/115 is 9294930.