Least Common Multiple of 39/424, 54/174, 796/620

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/424, 54/174, 796/620 quickly i.e. 139698 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/424, 54/174, 796/620 is 139698.

LCM(39/424, 54/174, 796/620) = 139698

LCM of 39/424, 54/174, 796/620

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 39/424,54/174,796/620

Given numbers are 39/424,54/174,796/620

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 39,54,796

Least Common Multiple of Numerators i.e. LCM of 39,54,796 is 279396.

GCF of Denominators means GCF of 424,174,620 as per the given fractions.

GCF of 424,174,620 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,54,796

LCM of Fractions 39/424,54/174,796/620 is 139698

2 39, 54, 796
3 39, 27, 398
13, 9, 398

∴ So the LCM of the given numbers is 2 x 3 x 13 x 9 x 398 = 279396

Least Common Multiple of 39,54,796 with GCF Formula

Least Common Multiple of 39,54,796 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 39,54,796 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,54,796) = 1

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

GCF(39,54,796) x common factors =1 x 6 = 6

LCM(39,54,796) = ( 39 × 54 × 796 ) / 6

LCM(39,54,796) = 1676376 / 6

LCM(39,54,796) = 279396


Lets's calculate GCF of 424,174,620

2 424, 174, 620
212, 87, 310

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 279396/2

Therefore the LCM of Fractions 39/424,54/174,796/620 is 139698

Greatest Common Factor of 424,174,620 By Matching Biggest Common Factor Method

Greatest Common Factor of 424,174,620 By Matching Biggest Common Factor Method

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Greatest Common Factor

We found the factors 424,174,620 . The biggest common factor number is the GCF number.
So the greatest common factor 424,174,620 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 39/424, 54/174, 796/620

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 39/424, 54/174, 796/620?

Answer: LCM of Numerators as per given numbers 39/424, 54/174, 796/620 is

LCM of Numerators i.e. for 39,54,796 is 279396

GCF of denominators i.e. for 424,174,620 is 2.

Thus, LCM of Fractions is 139698.Finally, LCM of Fractions for 39/424, 54/174, 796/620 is 139698.