Least Common Multiple of 100/421, 6594/329

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 100/421, 6594/329 quickly i.e. 329700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 100/421, 6594/329 is 329700.

LCM(100/421, 6594/329) = 329700

LCM of 100/421, 6594/329

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 100/421,6594/329

Given numbers are 100/421,6594/329

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 100,6594

Least Common Multiple of Numerators i.e. LCM of 100,6594 is 329700.

GCF of Denominators means GCF of 421,329 as per the given fractions.

GCF of 421,329 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 100,6594

LCM of Fractions 100/421,6594/329 is 329700

2 100, 6594
50, 3297

∴ So the LCM of the given numbers is 2 x 50 x 3297 = 329700

Least Common Multiple of 100,6594 with GCF Formula

Least Common Multiple of 100,6594 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 100,6594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(100,6594) = 2

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

GCF(100,6594) x common factors =2 x 1 = 2

LCM(100,6594) = ( 100 × 6594 ) / 2

LCM(100,6594) = 659400 / 2

LCM(100,6594) = 329700


Lets's calculate GCF of 421,329

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 329700/1

Therefore the LCM of Fractions 100/421,6594/329 is 329700

Greatest Common Factor of 421,329 By Matching Biggest Common Factor Method

Greatest Common Factor of 421,329 By Matching Biggest Common Factor Method

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1,421

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1,7,47,329

Greatest Common Factor

We found the factors 421,329 . The biggest common factor number is the GCF number.
So the greatest common factor 421,329 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 100/421, 6594/329

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 100/421, 6594/329?

Answer: LCM of Numerators as per given numbers 100/421, 6594/329 is

LCM of Numerators i.e. for 100,6594 is 329700

GCF of denominators i.e. for 421,329 is 1.

Thus, LCM of Fractions is 329700.Finally, LCM of Fractions for 100/421, 6594/329 is 329700.