Least Common Multiple of 39/408, 1624/7401

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/408, 1624/7401 quickly i.e. 21112 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/408, 1624/7401 is 21112.

LCM(39/408, 1624/7401) = 21112

LCM of 39/408, 1624/7401

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 39/408,1624/7401

Given numbers are 39/408,1624/7401

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 39,1624

Least Common Multiple of Numerators i.e. LCM of 39,1624 is 63336.

GCF of Denominators means GCF of 408,7401 as per the given fractions.

GCF of 408,7401 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,1624

LCM of Fractions 39/408,1624/7401 is 21112

Given numbers has no common factors except 1. So, there LCM is their product i.e 63336

Least Common Multiple of 39,1624 with GCF Formula

Least Common Multiple of 39,1624 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 39,1624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,1624) = 1

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

GCF(39,1624) x common factors =1 x 1 = 1

LCM(39,1624) = ( 39 × 1624 ) / 1

LCM(39,1624) = 63336 / 1

LCM(39,1624) = 63336


Lets's calculate GCF of 408,7401

3 408, 7401
136, 2467

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63336/3

Therefore the LCM of Fractions 39/408,1624/7401 is 21112

Greatest Common Factor of 408,7401 By Matching Biggest Common Factor Method

Greatest Common Factor of 408,7401 By Matching Biggest Common Factor Method

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Factors of 7401

List of positive integer factors of 7401 that divides 7401 without a remainder.

1,3,2467,7401

Greatest Common Factor

We found the factors 408,7401 . The biggest common factor number is the GCF number.
So the greatest common factor 408,7401 is 3.


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 39/408, 1624/7401

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 39/408, 1624/7401?

Answer: LCM of Numerators as per given numbers 39/408, 1624/7401 is

LCM of Numerators i.e. for 39,1624 is 63336

GCF of denominators i.e. for 408,7401 is 3.

Thus, LCM of Fractions is 21112.Finally, LCM of Fractions for 39/408, 1624/7401 is 21112.