Least Common Multiple of 9198/290, 2774/214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9198/290, 2774/214 quickly i.e. 87381 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9198/290, 2774/214 is 87381.

LCM(9198/290, 2774/214) = 87381

LCM of 9198/290, 2774/214

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 9198/290,2774/214

Given numbers are 9198/290,2774/214

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 9198,2774

Least Common Multiple of Numerators i.e. LCM of 9198,2774 is 174762.

GCF of Denominators means GCF of 290,214 as per the given fractions.

GCF of 290,214 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9198,2774

LCM of Fractions 9198/290,2774/214 is 87381

2 9198, 2774
73 4599, 1387
63, 19

∴ So the LCM of the given numbers is 2 x 73 x 63 x 19 = 174762

Least Common Multiple of 9198,2774 with GCF Formula

Least Common Multiple of 9198,2774 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 9198,2774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9198,2774) = 146

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

GCF(9198,2774) x common factors =146 x 1 = 146

LCM(9198,2774) = ( 9198 × 2774 ) / 146

LCM(9198,2774) = 25515252 / 146

LCM(9198,2774) = 174762


Lets's calculate GCF of 290,214

2 290, 214
145, 107

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 174762/2

Therefore the LCM of Fractions 9198/290,2774/214 is 87381

Greatest Common Factor of 290,214 By Matching Biggest Common Factor Method

Greatest Common Factor of 290,214 By Matching Biggest Common Factor Method

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 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Greatest Common Factor

We found the factors 290,214 . The biggest common factor number is the GCF number.
So the greatest common factor 290,214 is 2.


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 9198/290, 2774/214

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 9198/290, 2774/214?

Answer: LCM of Numerators as per given numbers 9198/290, 2774/214 is

LCM of Numerators i.e. for 9198,2774 is 174762

GCF of denominators i.e. for 290,214 is 2.

Thus, LCM of Fractions is 87381.Finally, LCM of Fractions for 9198/290, 2774/214 is 87381.