Least Common Multiple of 39/987, 23/604, 426/544

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/987, 23/604, 426/544 quickly i.e. 127374 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/987, 23/604, 426/544 is 127374.

LCM(39/987, 23/604, 426/544) = 127374

LCM of 39/987, 23/604, 426/544

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 39/987,23/604,426/544

Given numbers are 39/987,23/604,426/544

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 39,23,426

Least Common Multiple of Numerators i.e. LCM of 39,23,426 is 127374.

GCF of Denominators means GCF of 987,604,544 as per the given fractions.

GCF of 987,604,544 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,23,426

LCM of Fractions 39/987,23/604,426/544 is 127374

3 39, 23, 426
13, 23, 142

∴ So the LCM of the given numbers is 3 x 13 x 23 x 142 = 127374

Least Common Multiple of 39,23,426 with GCF Formula

Least Common Multiple of 39,23,426 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 39,23,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,23,426) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(39,23,426) x common factors =1 x 3 = 3

LCM(39,23,426) = ( 39 × 23 × 426 ) / 3

LCM(39,23,426) = 382122 / 3

LCM(39,23,426) = 127374


Lets's calculate GCF of 987,604,544

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 127374/1

Therefore the LCM of Fractions 39/987,23/604,426/544 is 127374

Greatest Common Factor of 987,604,544 By Matching Biggest Common Factor Method

Greatest Common Factor of 987,604,544 By Matching Biggest Common Factor Method

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Factors of 604

List of positive integer factors of 604 that divides 604 without a remainder.

1,2,4,151,302,604

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Greatest Common Factor

We found the factors 987,604,544 . The biggest common factor number is the GCF number.
So the greatest common factor 987,604,544 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 39/987, 23/604, 426/544

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 39/987, 23/604, 426/544?

Answer: LCM of Numerators as per given numbers 39/987, 23/604, 426/544 is

LCM of Numerators i.e. for 39,23,426 is 127374

GCF of denominators i.e. for 987,604,544 is 1.

Thus, LCM of Fractions is 127374.Finally, LCM of Fractions for 39/987, 23/604, 426/544 is 127374.