Least Common Multiple of 201/474, 872/218, 414/329

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 201/474, 872/218, 414/329 quickly i.e. 12093768 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 201/474, 872/218, 414/329 is 12093768.

LCM(201/474, 872/218, 414/329) = 12093768

LCM of 201/474, 872/218, 414/329

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 201/474,872/218,414/329

Given numbers are 201/474,872/218,414/329

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 201,872,414

Least Common Multiple of Numerators i.e. LCM of 201,872,414 is 12093768.

GCF of Denominators means GCF of 474,218,329 as per the given fractions.

GCF of 474,218,329 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 201,872,414

LCM of Fractions 201/474,872/218,414/329 is 12093768

2 201, 872, 414
3 201, 436, 207
67, 436, 69

∴ So the LCM of the given numbers is 2 x 3 x 67 x 436 x 69 = 12093768

Least Common Multiple of 201,872,414 with GCF Formula

Least Common Multiple of 201,872,414 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 201,872,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(201,872,414) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(201,872,414) x common factors =1 x 6 = 6

LCM(201,872,414) = ( 201 × 872 × 414 ) / 6

LCM(201,872,414) = 72562608 / 6

LCM(201,872,414) = 12093768


Lets's calculate GCF of 474,218,329

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12093768/1

Therefore the LCM of Fractions 201/474,872/218,414/329 is 12093768

Greatest Common Factor of 474,218,329 By Matching Biggest Common Factor Method

Greatest Common Factor of 474,218,329 By Matching Biggest Common Factor Method

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

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 474,218,329 . The biggest common factor number is the GCF number.
So the greatest common factor 474,218,329 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 201/474, 872/218, 414/329

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 201/474, 872/218, 414/329?

Answer: LCM of Numerators as per given numbers 201/474, 872/218, 414/329 is

LCM of Numerators i.e. for 201,872,414 is 12093768

GCF of denominators i.e. for 474,218,329 is 1.

Thus, LCM of Fractions is 12093768.Finally, LCM of Fractions for 201/474, 872/218, 414/329 is 12093768.