Least Common Multiple of 872/90, 258/2718

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 872/90, 258/2718 quickly i.e. 112488/18 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 872/90, 258/2718 is 112488/18.

LCM(872/90, 258/2718) = 112488/18

LCM of 872/90, 258/2718

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 872/90,258/2718

Given numbers are 872/90,258/2718

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 872,258

Least Common Multiple of Numerators i.e. LCM of 872,258 is 112488.

GCF of Denominators means GCF of 90,2718 as per the given fractions.

GCF of 90,2718 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 872,258

LCM of Fractions 872/90,258/2718 is 112488/18

2 872, 258
436, 129

∴ So the LCM of the given numbers is 2 x 436 x 129 = 112488

Least Common Multiple of 872,258 with GCF Formula

Least Common Multiple of 872,258 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 872,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(872,258) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(872,258) x common factors =2 x 1 = 2

LCM(872,258) = ( 872 × 258 ) / 2

LCM(872,258) = 224976 / 2

LCM(872,258) = 112488


Lets's calculate GCF of 90,2718

2 90, 2718
3 45, 1359
3 15, 453
5, 151

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112488/18

Therefore the LCM of Fractions 872/90,258/2718 is 112488/18

Greatest Common Factor of 90,2718 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,2718 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 2718

List of positive integer factors of 2718 that divides 2718 without a remainder.

1,2,3,6,9,18,151,302,453,906,1359,2718

Greatest Common Factor

We found the factors 90,2718 . The biggest common factor number is the GCF number.
So the greatest common factor 90,2718 is 18.


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 872/90, 258/2718

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 872/90, 258/2718?

Answer: LCM of Numerators as per given numbers 872/90, 258/2718 is

LCM of Numerators i.e. for 872,258 is 112488

GCF of denominators i.e. for 90,2718 is 18.

Thus, LCM of Fractions is 112488/18.Finally, LCM of Fractions for 872/90, 258/2718 is 112488/18.