Least Common Multiple of 18/897, 2458/5317

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/897, 2458/5317 quickly i.e. 22122/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/897, 2458/5317 is 22122/13.

LCM(18/897, 2458/5317) = 22122/13

LCM of 18/897, 2458/5317

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 18/897,2458/5317

Given numbers are 18/897,2458/5317

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 18,2458

Least Common Multiple of Numerators i.e. LCM of 18,2458 is 22122.

GCF of Denominators means GCF of 897,5317 as per the given fractions.

GCF of 897,5317 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,2458

LCM of Fractions 18/897,2458/5317 is 22122/13

2 18, 2458
9, 1229

∴ So the LCM of the given numbers is 2 x 9 x 1229 = 22122

Least Common Multiple of 18,2458 with GCF Formula

Least Common Multiple of 18,2458 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 18,2458 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,2458) = 2

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

GCF(18,2458) x common factors =2 x 1 = 2

LCM(18,2458) = ( 18 × 2458 ) / 2

LCM(18,2458) = 44244 / 2

LCM(18,2458) = 22122


Lets's calculate GCF of 897,5317

13 897, 5317
69, 409

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22122/13

Therefore the LCM of Fractions 18/897,2458/5317 is 22122/13

Greatest Common Factor of 897,5317 By Matching Biggest Common Factor Method

Greatest Common Factor of 897,5317 By Matching Biggest Common Factor Method

Factors of 897

List of positive integer factors of 897 that divides 897 without a remainder.

1,3,13,23,39,69,299,897

Factors of 5317

List of positive integer factors of 5317 that divides 5317 without a remainder.

1,13,409,5317

Greatest Common Factor

We found the factors 897,5317 . The biggest common factor number is the GCF number.
So the greatest common factor 897,5317 is 13.


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 18/897, 2458/5317

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 18/897, 2458/5317?

Answer: LCM of Numerators as per given numbers 18/897, 2458/5317 is

LCM of Numerators i.e. for 18,2458 is 22122

GCF of denominators i.e. for 897,5317 is 13.

Thus, LCM of Fractions is 22122/13.Finally, LCM of Fractions for 18/897, 2458/5317 is 22122/13.