Least Common Multiple of 5518/368, 6408/981

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5518/368, 6408/981 quickly i.e. 198648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5518/368, 6408/981 is 198648.

LCM(5518/368, 6408/981) = 198648

LCM of 5518/368, 6408/981

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 5518/368,6408/981

Given numbers are 5518/368,6408/981

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 5518,6408

Least Common Multiple of Numerators i.e. LCM of 5518,6408 is 198648.

GCF of Denominators means GCF of 368,981 as per the given fractions.

GCF of 368,981 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5518,6408

LCM of Fractions 5518/368,6408/981 is 198648

2 5518, 6408
89 2759, 3204
31, 36

∴ So the LCM of the given numbers is 2 x 89 x 31 x 36 = 198648

Least Common Multiple of 5518,6408 with GCF Formula

Least Common Multiple of 5518,6408 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 5518,6408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5518,6408) = 178

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

GCF(5518,6408) x common factors =178 x 1 = 178

LCM(5518,6408) = ( 5518 × 6408 ) / 178

LCM(5518,6408) = 35359344 / 178

LCM(5518,6408) = 198648


Lets's calculate GCF of 368,981

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 198648/1

Therefore the LCM of Fractions 5518/368,6408/981 is 198648

Greatest Common Factor of 368,981 By Matching Biggest Common Factor Method

Greatest Common Factor of 368,981 By Matching Biggest Common Factor Method

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Factors of 981

List of positive integer factors of 981 that divides 981 without a remainder.

1,3,9,109,327,981

Greatest Common Factor

We found the factors 368,981 . The biggest common factor number is the GCF number.
So the greatest common factor 368,981 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5518/368, 6408/981

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 5518/368, 6408/981?

Answer: LCM of Numerators as per given numbers 5518/368, 6408/981 is

LCM of Numerators i.e. for 5518,6408 is 198648

GCF of denominators i.e. for 368,981 is 1.

Thus, LCM of Fractions is 198648.Finally, LCM of Fractions for 5518/368, 6408/981 is 198648.