Least Common Multiple of 90/604, 22/535, 399/136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/604, 22/535, 399/136 quickly i.e. 131670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/604, 22/535, 399/136 is 131670.

LCM(90/604, 22/535, 399/136) = 131670

LCM of 90/604, 22/535, 399/136

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 90/604,22/535,399/136

Given numbers are 90/604,22/535,399/136

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 90,22,399

Least Common Multiple of Numerators i.e. LCM of 90,22,399 is 131670.

GCF of Denominators means GCF of 604,535,136 as per the given fractions.

GCF of 604,535,136 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,22,399

LCM of Fractions 90/604,22/535,399/136 is 131670

2 90, 22, 399
3 45, 11, 399
15, 11, 133

∴ So the LCM of the given numbers is 2 x 3 x 15 x 11 x 133 = 131670

Least Common Multiple of 90,22,399 with GCF Formula

Least Common Multiple of 90,22,399 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 90,22,399 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,22,399) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(90,22,399) x common factors =1 x 6 = 6

LCM(90,22,399) = ( 90 × 22 × 399 ) / 6

LCM(90,22,399) = 790020 / 6

LCM(90,22,399) = 131670


Lets's calculate GCF of 604,535,136

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 131670/1

Therefore the LCM of Fractions 90/604,22/535,399/136 is 131670

Greatest Common Factor of 604,535,136 By Matching Biggest Common Factor Method

Greatest Common Factor of 604,535,136 By Matching Biggest Common Factor Method

Factors of 604

List of positive integer factors of 604 that divides 604 without a remainder.

1,2,4,151,302,604

Factors of 535

List of positive integer factors of 535 that divides 535 without a remainder.

1,5,107,535

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Greatest Common Factor

We found the factors 604,535,136 . The biggest common factor number is the GCF number.
So the greatest common factor 604,535,136 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 90/604, 22/535, 399/136

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 90/604, 22/535, 399/136?

Answer: LCM of Numerators as per given numbers 90/604, 22/535, 399/136 is

LCM of Numerators i.e. for 90,22,399 is 131670

GCF of denominators i.e. for 604,535,136 is 1.

Thus, LCM of Fractions is 131670.Finally, LCM of Fractions for 90/604, 22/535, 399/136 is 131670.