Least Common Multiple of 82/398, 5314/4207

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/398, 5314/4207 quickly i.e. 217874 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/398, 5314/4207 is 217874.

LCM(82/398, 5314/4207) = 217874

LCM of 82/398, 5314/4207

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 82/398,5314/4207

Given numbers are 82/398,5314/4207

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 82,5314

Least Common Multiple of Numerators i.e. LCM of 82,5314 is 217874.

GCF of Denominators means GCF of 398,4207 as per the given fractions.

GCF of 398,4207 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,5314

LCM of Fractions 82/398,5314/4207 is 217874

2 82, 5314
41, 2657

∴ So the LCM of the given numbers is 2 x 41 x 2657 = 217874

Least Common Multiple of 82,5314 with GCF Formula

Least Common Multiple of 82,5314 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 82,5314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,5314) = 2

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

GCF(82,5314) x common factors =2 x 1 = 2

LCM(82,5314) = ( 82 × 5314 ) / 2

LCM(82,5314) = 435748 / 2

LCM(82,5314) = 217874


Lets's calculate GCF of 398,4207

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 217874/1

Therefore the LCM of Fractions 82/398,5314/4207 is 217874

Greatest Common Factor of 398,4207 By Matching Biggest Common Factor Method

Greatest Common Factor of 398,4207 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 4207

List of positive integer factors of 4207 that divides 4207 without a remainder.

1,7,601,4207

Greatest Common Factor

We found the factors 398,4207 . The biggest common factor number is the GCF number.
So the greatest common factor 398,4207 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 82/398, 5314/4207

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 82/398, 5314/4207?

Answer: LCM of Numerators as per given numbers 82/398, 5314/4207 is

LCM of Numerators i.e. for 82,5314 is 217874

GCF of denominators i.e. for 398,4207 is 1.

Thus, LCM of Fractions is 217874.Finally, LCM of Fractions for 82/398, 5314/4207 is 217874.