Least Common Multiple of 84/39, 30/30, 502/407

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/39, 30/30, 502/407 quickly i.e. 105420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/39, 30/30, 502/407 is 105420.

LCM(84/39, 30/30, 502/407) = 105420

LCM of 84/39, 30/30, 502/407

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 84/39,30/30,502/407

Given numbers are 84/39,30/30,502/407

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 84,30,502

Least Common Multiple of Numerators i.e. LCM of 84,30,502 is 105420.

GCF of Denominators means GCF of 39,30,407 as per the given fractions.

GCF of 39,30,407 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,30,502

LCM of Fractions 84/39,30/30,502/407 is 105420

2 84, 30, 502
3 42, 15, 251
14, 5, 251

∴ So the LCM of the given numbers is 2 x 3 x 14 x 5 x 251 = 105420

Least Common Multiple of 84,30,502 with GCF Formula

Least Common Multiple of 84,30,502 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 84,30,502 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,30,502) = 2

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

GCF(84,30,502) x common factors =2 x 6 = 12

LCM(84,30,502) = ( 84 × 30 × 502 ) / 12

LCM(84,30,502) = 1265040 / 12

LCM(84,30,502) = 105420


Lets's calculate GCF of 39,30,407

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 105420/1

Therefore the LCM of Fractions 84/39,30/30,502/407 is 105420

Greatest Common Factor of 39,30,407 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,30,407 By Matching Biggest Common Factor Method

Factors of 39

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

1,3,13,39

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 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Greatest Common Factor

We found the factors 39,30,407 . The biggest common factor number is the GCF number.
So the greatest common factor 39,30,407 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 84/39, 30/30, 502/407

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 84/39, 30/30, 502/407?

Answer: LCM of Numerators as per given numbers 84/39, 30/30, 502/407 is

LCM of Numerators i.e. for 84,30,502 is 105420

GCF of denominators i.e. for 39,30,407 is 1.

Thus, LCM of Fractions is 105420.Finally, LCM of Fractions for 84/39, 30/30, 502/407 is 105420.