Least Common Multiple of 39/689, 558/423, 819/106

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/689, 558/423, 819/106 quickly i.e. 50778 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/689, 558/423, 819/106 is 50778.

LCM(39/689, 558/423, 819/106) = 50778

LCM of 39/689, 558/423, 819/106

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 39/689,558/423,819/106

Given numbers are 39/689,558/423,819/106

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 39,558,819

Least Common Multiple of Numerators i.e. LCM of 39,558,819 is 50778.

GCF of Denominators means GCF of 689,423,106 as per the given fractions.

GCF of 689,423,106 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,558,819

LCM of Fractions 39/689,558/423,819/106 is 50778

3 39, 558, 819
3 13, 186, 273
13 13, 62, 91
1, 62, 7

∴ So the LCM of the given numbers is 3 x 3 x 13 x 1 x 62 x 7 = 50778

Least Common Multiple of 39,558,819 with GCF Formula

Least Common Multiple of 39,558,819 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 39,558,819 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,558,819) = 3

common factors(in case of two or more numbers have common factors) = 117

GCF(39,558,819) x common factors =3 x 117 = 351

LCM(39,558,819) = ( 39 × 558 × 819 ) / 351

LCM(39,558,819) = 17823078 / 351

LCM(39,558,819) = 50778


Lets's calculate GCF of 689,423,106

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50778/1

Therefore the LCM of Fractions 39/689,558/423,819/106 is 50778

Greatest Common Factor of 689,423,106 By Matching Biggest Common Factor Method

Greatest Common Factor of 689,423,106 By Matching Biggest Common Factor Method

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Greatest Common Factor

We found the factors 689,423,106 . The biggest common factor number is the GCF number.
So the greatest common factor 689,423,106 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 39/689, 558/423, 819/106

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 39/689, 558/423, 819/106?

Answer: LCM of Numerators as per given numbers 39/689, 558/423, 819/106 is

LCM of Numerators i.e. for 39,558,819 is 50778

GCF of denominators i.e. for 689,423,106 is 1.

Thus, LCM of Fractions is 50778.Finally, LCM of Fractions for 39/689, 558/423, 819/106 is 50778.