Least Common Multiple of 90/621, 60/525, 150/612

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/621, 60/525, 150/612 quickly i.e. 300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/621, 60/525, 150/612 is 300.

LCM(90/621, 60/525, 150/612) = 300

LCM of 90/621, 60/525, 150/612

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 90/621,60/525,150/612

Given numbers are 90/621,60/525,150/612

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 90,60,150

Least Common Multiple of Numerators i.e. LCM of 90,60,150 is 900.

GCF of Denominators means GCF of 621,525,612 as per the given fractions.

GCF of 621,525,612 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,60,150

LCM of Fractions 90/621,60/525,150/612 is 300

2 90, 60, 150
3 45, 30, 75
5 15, 10, 25
3, 2, 5

∴ So the LCM of the given numbers is 2 x 3 x 5 x 3 x 2 x 5 = 900

Least Common Multiple of 90,60,150 with GCF Formula

Least Common Multiple of 90,60,150 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 90,60,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,60,150) = 30

common factors(in case of two or more numbers have common factors) = 30

GCF(90,60,150) x common factors =30 x 30 = 900

LCM(90,60,150) = ( 90 × 60 × 150 ) / 900

LCM(90,60,150) = 810000 / 900

LCM(90,60,150) = 900


Lets's calculate GCF of 621,525,612

3 621, 525, 612
207, 175, 204

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 900/3

Therefore the LCM of Fractions 90/621,60/525,150/612 is 300

Greatest Common Factor of 621,525,612 By Matching Biggest Common Factor Method

Greatest Common Factor of 621,525,612 By Matching Biggest Common Factor Method

Factors of 621

List of positive integer factors of 621 that divides 621 without a remainder.

1,3,9,23,27,69,207,621

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1,3,5,7,15,21,25,35,75,105,175,525

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Greatest Common Factor

We found the factors 621,525,612 . The biggest common factor number is the GCF number.
So the greatest common factor 621,525,612 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 90/621, 60/525, 150/612

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 90/621, 60/525, 150/612?

Answer: LCM of Numerators as per given numbers 90/621, 60/525, 150/612 is

LCM of Numerators i.e. for 90,60,150 is 900

GCF of denominators i.e. for 621,525,612 is 3.

Thus, LCM of Fractions is 300.Finally, LCM of Fractions for 90/621, 60/525, 150/612 is 300.