Least Common Multiple of 90/258, 211/290, 542/675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/258, 211/290, 542/675 quickly i.e. 5146290 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/258, 211/290, 542/675 is 5146290.

LCM(90/258, 211/290, 542/675) = 5146290

LCM of 90/258, 211/290, 542/675

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 90/258,211/290,542/675

Given numbers are 90/258,211/290,542/675

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 90,211,542

Least Common Multiple of Numerators i.e. LCM of 90,211,542 is 5146290.

GCF of Denominators means GCF of 258,290,675 as per the given fractions.

GCF of 258,290,675 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,211,542

LCM of Fractions 90/258,211/290,542/675 is 5146290

2 90, 211, 542
45, 211, 271

∴ So the LCM of the given numbers is 2 x 45 x 211 x 271 = 5146290

Least Common Multiple of 90,211,542 with GCF Formula

Least Common Multiple of 90,211,542 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 90,211,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,211,542) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(90,211,542) x common factors =1 x 2 = 2

LCM(90,211,542) = ( 90 × 211 × 542 ) / 2

LCM(90,211,542) = 10292580 / 2

LCM(90,211,542) = 5146290


Lets's calculate GCF of 258,290,675

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5146290/1

Therefore the LCM of Fractions 90/258,211/290,542/675 is 5146290

Greatest Common Factor of 258,290,675 By Matching Biggest Common Factor Method

Greatest Common Factor of 258,290,675 By Matching Biggest Common Factor Method

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Greatest Common Factor

We found the factors 258,290,675 . The biggest common factor number is the GCF number.
So the greatest common factor 258,290,675 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 90/258, 211/290, 542/675

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 90/258, 211/290, 542/675?

Answer: LCM of Numerators as per given numbers 90/258, 211/290, 542/675 is

LCM of Numerators i.e. for 90,211,542 is 5146290

GCF of denominators i.e. for 258,290,675 is 1.

Thus, LCM of Fractions is 5146290.Finally, LCM of Fractions for 90/258, 211/290, 542/675 is 5146290.