Least Common Multiple of 90/517, 135/872, 153/787

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/517, 135/872, 153/787 quickly i.e. 4590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/517, 135/872, 153/787 is 4590.

LCM(90/517, 135/872, 153/787) = 4590

LCM of 90/517, 135/872, 153/787

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 90/517,135/872,153/787

Given numbers are 90/517,135/872,153/787

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 90,135,153

Least Common Multiple of Numerators i.e. LCM of 90,135,153 is 4590.

GCF of Denominators means GCF of 517,872,787 as per the given fractions.

GCF of 517,872,787 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,135,153

LCM of Fractions 90/517,135/872,153/787 is 4590

3 90, 135, 153
3 30, 45, 51
5 10, 15, 17
2, 3, 17

∴ So the LCM of the given numbers is 3 x 3 x 5 x 2 x 3 x 17 = 4590

Least Common Multiple of 90,135,153 with GCF Formula

Least Common Multiple of 90,135,153 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 90,135,153 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,135,153) = 9

common factors(in case of two or more numbers have common factors) = 45

GCF(90,135,153) x common factors =9 x 45 = 405

LCM(90,135,153) = ( 90 × 135 × 153 ) / 405

LCM(90,135,153) = 1858950 / 405

LCM(90,135,153) = 4590


Lets's calculate GCF of 517,872,787

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4590/1

Therefore the LCM of Fractions 90/517,135/872,153/787 is 4590

Greatest Common Factor of 517,872,787 By Matching Biggest Common Factor Method

Greatest Common Factor of 517,872,787 By Matching Biggest Common Factor Method

Factors of 517

List of positive integer factors of 517 that divides 517 without a remainder.

1,11,47,517

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Factors of 787

List of positive integer factors of 787 that divides 787 without a remainder.

1,787

Greatest Common Factor

We found the factors 517,872,787 . The biggest common factor number is the GCF number.
So the greatest common factor 517,872,787 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 90/517, 135/872, 153/787

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 90/517, 135/872, 153/787?

Answer: LCM of Numerators as per given numbers 90/517, 135/872, 153/787 is

LCM of Numerators i.e. for 90,135,153 is 4590

GCF of denominators i.e. for 517,872,787 is 1.

Thus, LCM of Fractions is 4590.Finally, LCM of Fractions for 90/517, 135/872, 153/787 is 4590.