Least Common Multiple of 39/23, 38/53, 552/578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/23, 38/53, 552/578 quickly i.e. 136344 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/23, 38/53, 552/578 is 136344.

LCM(39/23, 38/53, 552/578) = 136344

LCM of 39/23, 38/53, 552/578

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 39/23,38/53,552/578

Given numbers are 39/23,38/53,552/578

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 39,38,552

Least Common Multiple of Numerators i.e. LCM of 39,38,552 is 136344.

GCF of Denominators means GCF of 23,53,578 as per the given fractions.

GCF of 23,53,578 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,38,552

LCM of Fractions 39/23,38/53,552/578 is 136344

2 39, 38, 552
3 39, 19, 276
13, 19, 92

∴ So the LCM of the given numbers is 2 x 3 x 13 x 19 x 92 = 136344

Least Common Multiple of 39,38,552 with GCF Formula

Least Common Multiple of 39,38,552 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 39,38,552 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,38,552) = 1

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

GCF(39,38,552) x common factors =1 x 6 = 6

LCM(39,38,552) = ( 39 × 38 × 552 ) / 6

LCM(39,38,552) = 818064 / 6

LCM(39,38,552) = 136344


Lets's calculate GCF of 23,53,578

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 136344/1

Therefore the LCM of Fractions 39/23,38/53,552/578 is 136344

Greatest Common Factor of 23,53,578 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,53,578 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Greatest Common Factor

We found the factors 23,53,578 . The biggest common factor number is the GCF number.
So the greatest common factor 23,53,578 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 39/23, 38/53, 552/578

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 39/23, 38/53, 552/578?

Answer: LCM of Numerators as per given numbers 39/23, 38/53, 552/578 is

LCM of Numerators i.e. for 39,38,552 is 136344

GCF of denominators i.e. for 23,53,578 is 1.

Thus, LCM of Fractions is 136344.Finally, LCM of Fractions for 39/23, 38/53, 552/578 is 136344.