Least Common Multiple of 19/69, 26/76, 59/399

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/69, 26/76, 59/399 quickly i.e. 29146 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/69, 26/76, 59/399 is 29146.

LCM(19/69, 26/76, 59/399) = 29146

LCM of 19/69, 26/76, 59/399

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 19/69,26/76,59/399

Given numbers are 19/69,26/76,59/399

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 19,26,59

Least Common Multiple of Numerators i.e. LCM of 19,26,59 is 29146.

GCF of Denominators means GCF of 69,76,399 as per the given fractions.

GCF of 69,76,399 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,26,59

LCM of Fractions 19/69,26/76,59/399 is 29146

Given numbers has no common factors except 1. So, there LCM is their product i.e 29146

Least Common Multiple of 19,26,59 with GCF Formula

Least Common Multiple of 19,26,59 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 19,26,59 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,26,59) = 1

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

GCF(19,26,59) x common factors =1 x 1 = 1

LCM(19,26,59) = ( 19 × 26 × 59 ) / 1

LCM(19,26,59) = 29146 / 1

LCM(19,26,59) = 29146


Lets's calculate GCF of 69,76,399

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29146/1

Therefore the LCM of Fractions 19/69,26/76,59/399 is 29146

Greatest Common Factor of 69,76,399 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,76,399 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 399

List of positive integer factors of 399 that divides 399 without a remainder.

1,3,7,19,21,57,133,399

Greatest Common Factor

We found the factors 69,76,399 . The biggest common factor number is the GCF number.
So the greatest common factor 69,76,399 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 19/69, 26/76, 59/399

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 19/69, 26/76, 59/399?

Answer: LCM of Numerators as per given numbers 19/69, 26/76, 59/399 is

LCM of Numerators i.e. for 19,26,59 is 29146

GCF of denominators i.e. for 69,76,399 is 1.

Thus, LCM of Fractions is 29146.Finally, LCM of Fractions for 19/69, 26/76, 59/399 is 29146.