Least Common Multiple of 90/555, 465/866, 720/639

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/555, 465/866, 720/639 quickly i.e. 22320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/555, 465/866, 720/639 is 22320.

LCM(90/555, 465/866, 720/639) = 22320

LCM of 90/555, 465/866, 720/639

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 90/555,465/866,720/639

Given numbers are 90/555,465/866,720/639

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 90,465,720

Least Common Multiple of Numerators i.e. LCM of 90,465,720 is 22320.

GCF of Denominators means GCF of 555,866,639 as per the given fractions.

GCF of 555,866,639 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,465,720

LCM of Fractions 90/555,465/866,720/639 is 22320

2 90, 465, 720
3 45, 465, 360
3 15, 155, 120
5 5, 155, 40
1, 31, 8

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 1 x 31 x 8 = 22320

Least Common Multiple of 90,465,720 with GCF Formula

Least Common Multiple of 90,465,720 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 90,465,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,465,720) = 15

common factors(in case of two or more numbers have common factors) = 90

GCF(90,465,720) x common factors =15 x 90 = 1350

LCM(90,465,720) = ( 90 × 465 × 720 ) / 1350

LCM(90,465,720) = 30132000 / 1350

LCM(90,465,720) = 22320


Lets's calculate GCF of 555,866,639

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22320/1

Therefore the LCM of Fractions 90/555,465/866,720/639 is 22320

Greatest Common Factor of 555,866,639 By Matching Biggest Common Factor Method

Greatest Common Factor of 555,866,639 By Matching Biggest Common Factor Method

Factors of 555

List of positive integer factors of 555 that divides 555 without a remainder.

1,3,5,15,37,111,185,555

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Factors of 639

List of positive integer factors of 639 that divides 639 without a remainder.

1,3,9,71,213,639

Greatest Common Factor

We found the factors 555,866,639 . The biggest common factor number is the GCF number.
So the greatest common factor 555,866,639 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 90/555, 465/866, 720/639

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 90/555, 465/866, 720/639?

Answer: LCM of Numerators as per given numbers 90/555, 465/866, 720/639 is

LCM of Numerators i.e. for 90,465,720 is 22320

GCF of denominators i.e. for 555,866,639 is 1.

Thus, LCM of Fractions is 22320.Finally, LCM of Fractions for 90/555, 465/866, 720/639 is 22320.