Least Common Multiple of 90/657, 219/444, 439/138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/657, 219/444, 439/138 quickly i.e. 961410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/657, 219/444, 439/138 is 961410.

LCM(90/657, 219/444, 439/138) = 961410

LCM of 90/657, 219/444, 439/138

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 90/657,219/444,439/138

Given numbers are 90/657,219/444,439/138

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 90,219,439

Least Common Multiple of Numerators i.e. LCM of 90,219,439 is 2884230.

GCF of Denominators means GCF of 657,444,138 as per the given fractions.

GCF of 657,444,138 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,219,439

LCM of Fractions 90/657,219/444,439/138 is 961410

3 90, 219, 439
30, 73, 439

∴ So the LCM of the given numbers is 3 x 30 x 73 x 439 = 2884230

Least Common Multiple of 90,219,439 with GCF Formula

Least Common Multiple of 90,219,439 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 90,219,439 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,219,439) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(90,219,439) x common factors =1 x 3 = 3

LCM(90,219,439) = ( 90 × 219 × 439 ) / 3

LCM(90,219,439) = 8652690 / 3

LCM(90,219,439) = 2884230


Lets's calculate GCF of 657,444,138

3 657, 444, 138
219, 148, 46

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2884230/3

Therefore the LCM of Fractions 90/657,219/444,439/138 is 961410

Greatest Common Factor of 657,444,138 By Matching Biggest Common Factor Method

Greatest Common Factor of 657,444,138 By Matching Biggest Common Factor Method

Factors of 657

List of positive integer factors of 657 that divides 657 without a remainder.

1,3,9,73,219,657

Factors of 444

List of positive integer factors of 444 that divides 444 without a remainder.

1,2,3,4,6,12,37,74,111,148,222,444

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Greatest Common Factor

We found the factors 657,444,138 . The biggest common factor number is the GCF number.
So the greatest common factor 657,444,138 is 3.


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 90/657, 219/444, 439/138

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 90/657, 219/444, 439/138?

Answer: LCM of Numerators as per given numbers 90/657, 219/444, 439/138 is

LCM of Numerators i.e. for 90,219,439 is 2884230

GCF of denominators i.e. for 657,444,138 is 3.

Thus, LCM of Fractions is 961410.Finally, LCM of Fractions for 90/657, 219/444, 439/138 is 961410.