Least Common Multiple of 338/75, 407/87, 832/643

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 338/75, 407/87, 832/643 quickly i.e. 4402112 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 338/75, 407/87, 832/643 is 4402112.

LCM(338/75, 407/87, 832/643) = 4402112

LCM of 338/75, 407/87, 832/643

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 338/75,407/87,832/643

Given numbers are 338/75,407/87,832/643

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 338,407,832

Least Common Multiple of Numerators i.e. LCM of 338,407,832 is 4402112.

GCF of Denominators means GCF of 75,87,643 as per the given fractions.

GCF of 75,87,643 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 338,407,832

LCM of Fractions 338/75,407/87,832/643 is 4402112

2 338, 407, 832
13 169, 407, 416
13, 407, 32

∴ So the LCM of the given numbers is 2 x 13 x 13 x 407 x 32 = 4402112

Least Common Multiple of 338,407,832 with GCF Formula

Least Common Multiple of 338,407,832 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 338,407,832 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(338,407,832) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(338,407,832) x common factors =1 x 26 = 26

LCM(338,407,832) = ( 338 × 407 × 832 ) / 26

LCM(338,407,832) = 114454912 / 26

LCM(338,407,832) = 4402112


Lets's calculate GCF of 75,87,643

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4402112/1

Therefore the LCM of Fractions 338/75,407/87,832/643 is 4402112

Greatest Common Factor of 75,87,643 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,87,643 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 643

List of positive integer factors of 643 that divides 643 without a remainder.

1,643

Greatest Common Factor

We found the factors 75,87,643 . The biggest common factor number is the GCF number.
So the greatest common factor 75,87,643 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 338/75, 407/87, 832/643

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 338/75, 407/87, 832/643?

Answer: LCM of Numerators as per given numbers 338/75, 407/87, 832/643 is

LCM of Numerators i.e. for 338,407,832 is 4402112

GCF of denominators i.e. for 75,87,643 is 1.

Thus, LCM of Fractions is 4402112.Finally, LCM of Fractions for 338/75, 407/87, 832/643 is 4402112.