Least Common Multiple of 8456/398, 3209/271

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8456/398, 3209/271 quickly i.e. 27135304 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8456/398, 3209/271 is 27135304.

LCM(8456/398, 3209/271) = 27135304

LCM of 8456/398, 3209/271

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 8456/398,3209/271

Given numbers are 8456/398,3209/271

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 8456,3209

Least Common Multiple of Numerators i.e. LCM of 8456,3209 is 27135304.

GCF of Denominators means GCF of 398,271 as per the given fractions.

GCF of 398,271 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8456,3209

LCM of Fractions 8456/398,3209/271 is 27135304

Given numbers has no common factors except 1. So, there LCM is their product i.e 27135304

Least Common Multiple of 8456,3209 with GCF Formula

Least Common Multiple of 8456,3209 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 8456,3209 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8456,3209) = 1

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

GCF(8456,3209) x common factors =1 x 1 = 1

LCM(8456,3209) = ( 8456 × 3209 ) / 1

LCM(8456,3209) = 27135304 / 1

LCM(8456,3209) = 27135304


Lets's calculate GCF of 398,271

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27135304/1

Therefore the LCM of Fractions 8456/398,3209/271 is 27135304

Greatest Common Factor of 398,271 By Matching Biggest Common Factor Method

Greatest Common Factor of 398,271 By Matching Biggest Common Factor Method

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Factors of 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

Greatest Common Factor

We found the factors 398,271 . The biggest common factor number is the GCF number.
So the greatest common factor 398,271 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 8456/398, 3209/271

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 8456/398, 3209/271?

Answer: LCM of Numerators as per given numbers 8456/398, 3209/271 is

LCM of Numerators i.e. for 8456,3209 is 27135304

GCF of denominators i.e. for 398,271 is 1.

Thus, LCM of Fractions is 27135304.Finally, LCM of Fractions for 8456/398, 3209/271 is 27135304.