Least Common Multiple of 246/27, 3417/998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 246/27, 3417/998 quickly i.e. 280194 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 246/27, 3417/998 is 280194.

LCM(246/27, 3417/998) = 280194

LCM of 246/27, 3417/998

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 246/27,3417/998

Given numbers are 246/27,3417/998

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 246,3417

Least Common Multiple of Numerators i.e. LCM of 246,3417 is 280194.

GCF of Denominators means GCF of 27,998 as per the given fractions.

GCF of 27,998 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 246,3417

LCM of Fractions 246/27,3417/998 is 280194

3 246, 3417
82, 1139

∴ So the LCM of the given numbers is 3 x 82 x 1139 = 280194

Least Common Multiple of 246,3417 with GCF Formula

Least Common Multiple of 246,3417 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 246,3417 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(246,3417) = 3

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

GCF(246,3417) x common factors =3 x 1 = 3

LCM(246,3417) = ( 246 × 3417 ) / 3

LCM(246,3417) = 840582 / 3

LCM(246,3417) = 280194


Lets's calculate GCF of 27,998

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 280194/1

Therefore the LCM of Fractions 246/27,3417/998 is 280194

Greatest Common Factor of 27,998 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,998 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Greatest Common Factor

We found the factors 27,998 . The biggest common factor number is the GCF number.
So the greatest common factor 27,998 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 246/27, 3417/998

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 246/27, 3417/998?

Answer: LCM of Numerators as per given numbers 246/27, 3417/998 is

LCM of Numerators i.e. for 246,3417 is 280194

GCF of denominators i.e. for 27,998 is 1.

Thus, LCM of Fractions is 280194.Finally, LCM of Fractions for 246/27, 3417/998 is 280194.