Least Common Multiple of 338/83, 624/5087

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 338/83, 624/5087 quickly i.e. 8112 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 338/83, 624/5087 is 8112.

LCM(338/83, 624/5087) = 8112

LCM of 338/83, 624/5087

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 338/83,624/5087

Given numbers are 338/83,624/5087

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 338,624

Least Common Multiple of Numerators i.e. LCM of 338,624 is 8112.

GCF of Denominators means GCF of 83,5087 as per the given fractions.

GCF of 83,5087 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 338,624

LCM of Fractions 338/83,624/5087 is 8112

2 338, 624
13 169, 312
13, 24

∴ So the LCM of the given numbers is 2 x 13 x 13 x 24 = 8112

Least Common Multiple of 338,624 with GCF Formula

Least Common Multiple of 338,624 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 338,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(338,624) = 26

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

GCF(338,624) x common factors =26 x 1 = 26

LCM(338,624) = ( 338 × 624 ) / 26

LCM(338,624) = 210912 / 26

LCM(338,624) = 8112


Lets's calculate GCF of 83,5087

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8112/1

Therefore the LCM of Fractions 338/83,624/5087 is 8112

Greatest Common Factor of 83,5087 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,5087 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 5087

List of positive integer factors of 5087 that divides 5087 without a remainder.

1,5087

Greatest Common Factor

We found the factors 83,5087 . The biggest common factor number is the GCF number.
So the greatest common factor 83,5087 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 338/83, 624/5087

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 338/83, 624/5087?

Answer: LCM of Numerators as per given numbers 338/83, 624/5087 is

LCM of Numerators i.e. for 338,624 is 8112

GCF of denominators i.e. for 83,5087 is 1.

Thus, LCM of Fractions is 8112.Finally, LCM of Fractions for 338/83, 624/5087 is 8112.