Least Common Multiple of 19/789, 58/921, 587/652

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/789, 58/921, 587/652 quickly i.e. 646874 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/789, 58/921, 587/652 is 646874.

LCM(19/789, 58/921, 587/652) = 646874

LCM of 19/789, 58/921, 587/652

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 19/789,58/921,587/652

Given numbers are 19/789,58/921,587/652

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 19,58,587

Least Common Multiple of Numerators i.e. LCM of 19,58,587 is 646874.

GCF of Denominators means GCF of 789,921,652 as per the given fractions.

GCF of 789,921,652 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,58,587

LCM of Fractions 19/789,58/921,587/652 is 646874

Given numbers has no common factors except 1. So, there LCM is their product i.e 646874

Least Common Multiple of 19,58,587 with GCF Formula

Least Common Multiple of 19,58,587 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 19,58,587 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,58,587) = 1

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

GCF(19,58,587) x common factors =1 x 1 = 1

LCM(19,58,587) = ( 19 × 58 × 587 ) / 1

LCM(19,58,587) = 646874 / 1

LCM(19,58,587) = 646874


Lets's calculate GCF of 789,921,652

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 646874/1

Therefore the LCM of Fractions 19/789,58/921,587/652 is 646874

Greatest Common Factor of 789,921,652 By Matching Biggest Common Factor Method

Greatest Common Factor of 789,921,652 By Matching Biggest Common Factor Method

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Factors of 921

List of positive integer factors of 921 that divides 921 without a remainder.

1,3,307,921

Factors of 652

List of positive integer factors of 652 that divides 652 without a remainder.

1,2,4,163,326,652

Greatest Common Factor

We found the factors 789,921,652 . The biggest common factor number is the GCF number.
So the greatest common factor 789,921,652 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 19/789, 58/921, 587/652

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 19/789, 58/921, 587/652?

Answer: LCM of Numerators as per given numbers 19/789, 58/921, 587/652 is

LCM of Numerators i.e. for 19,58,587 is 646874

GCF of denominators i.e. for 789,921,652 is 1.

Thus, LCM of Fractions is 646874.Finally, LCM of Fractions for 19/789, 58/921, 587/652 is 646874.