Least Common Multiple of 502/30, 105/39, 456/413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 502/30, 105/39, 456/413 quickly i.e. 4005960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 502/30, 105/39, 456/413 is 4005960.

LCM(502/30, 105/39, 456/413) = 4005960

LCM of 502/30, 105/39, 456/413

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 502/30,105/39,456/413

Given numbers are 502/30,105/39,456/413

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 502,105,456

Least Common Multiple of Numerators i.e. LCM of 502,105,456 is 4005960.

GCF of Denominators means GCF of 30,39,413 as per the given fractions.

GCF of 30,39,413 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 502,105,456

LCM of Fractions 502/30,105/39,456/413 is 4005960

2 502, 105, 456
3 251, 105, 228
251, 35, 76

∴ So the LCM of the given numbers is 2 x 3 x 251 x 35 x 76 = 4005960

Least Common Multiple of 502,105,456 with GCF Formula

Least Common Multiple of 502,105,456 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 502,105,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(502,105,456) = 1

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

GCF(502,105,456) x common factors =1 x 6 = 6

LCM(502,105,456) = ( 502 × 105 × 456 ) / 6

LCM(502,105,456) = 24035760 / 6

LCM(502,105,456) = 4005960


Lets's calculate GCF of 30,39,413

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4005960/1

Therefore the LCM of Fractions 502/30,105/39,456/413 is 4005960

Greatest Common Factor of 30,39,413 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,39,413 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Greatest Common Factor

We found the factors 30,39,413 . The biggest common factor number is the GCF number.
So the greatest common factor 30,39,413 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 502/30, 105/39, 456/413

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 502/30, 105/39, 456/413?

Answer: LCM of Numerators as per given numbers 502/30, 105/39, 456/413 is

LCM of Numerators i.e. for 502,105,456 is 4005960

GCF of denominators i.e. for 30,39,413 is 1.

Thus, LCM of Fractions is 4005960.Finally, LCM of Fractions for 502/30, 105/39, 456/413 is 4005960.