Least Common Multiple of 241/390, 414/524, 502/334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 241/390, 414/524, 502/334 quickly i.e. 12521637 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 241/390, 414/524, 502/334 is 12521637.

LCM(241/390, 414/524, 502/334) = 12521637

LCM of 241/390, 414/524, 502/334

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 241/390,414/524,502/334

Given numbers are 241/390,414/524,502/334

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 241,414,502

Least Common Multiple of Numerators i.e. LCM of 241,414,502 is 25043274.

GCF of Denominators means GCF of 390,524,334 as per the given fractions.

GCF of 390,524,334 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 241,414,502

LCM of Fractions 241/390,414/524,502/334 is 12521637

2 241, 414, 502
241, 207, 251

∴ So the LCM of the given numbers is 2 x 241 x 207 x 251 = 25043274

Least Common Multiple of 241,414,502 with GCF Formula

Least Common Multiple of 241,414,502 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 241,414,502 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(241,414,502) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(241,414,502) x common factors =1 x 2 = 2

LCM(241,414,502) = ( 241 × 414 × 502 ) / 2

LCM(241,414,502) = 50086548 / 2

LCM(241,414,502) = 25043274


Lets's calculate GCF of 390,524,334

2 390, 524, 334
195, 262, 167

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25043274/2

Therefore the LCM of Fractions 241/390,414/524,502/334 is 12521637

Greatest Common Factor of 390,524,334 By Matching Biggest Common Factor Method

Greatest Common Factor of 390,524,334 By Matching Biggest Common Factor Method

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Greatest Common Factor

We found the factors 390,524,334 . The biggest common factor number is the GCF number.
So the greatest common factor 390,524,334 is 2.


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 241/390, 414/524, 502/334

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 241/390, 414/524, 502/334?

Answer: LCM of Numerators as per given numbers 241/390, 414/524, 502/334 is

LCM of Numerators i.e. for 241,414,502 is 25043274

GCF of denominators i.e. for 390,524,334 is 2.

Thus, LCM of Fractions is 12521637.Finally, LCM of Fractions for 241/390, 414/524, 502/334 is 12521637.