Least Common Multiple of 123/19, 614/6819

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 123/19, 614/6819 quickly i.e. 75522 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 123/19, 614/6819 is 75522.

LCM(123/19, 614/6819) = 75522

LCM of 123/19, 614/6819

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 123/19,614/6819

Given numbers are 123/19,614/6819

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 123,614

Least Common Multiple of Numerators i.e. LCM of 123,614 is 75522.

GCF of Denominators means GCF of 19,6819 as per the given fractions.

GCF of 19,6819 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 123,614

LCM of Fractions 123/19,614/6819 is 75522

Given numbers has no common factors except 1. So, there LCM is their product i.e 75522

Least Common Multiple of 123,614 with GCF Formula

Least Common Multiple of 123,614 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 123,614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(123,614) = 1

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

GCF(123,614) x common factors =1 x 1 = 1

LCM(123,614) = ( 123 × 614 ) / 1

LCM(123,614) = 75522 / 1

LCM(123,614) = 75522


Lets's calculate GCF of 19,6819

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75522/1

Therefore the LCM of Fractions 123/19,614/6819 is 75522

Greatest Common Factor of 19,6819 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,6819 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 6819

List of positive integer factors of 6819 that divides 6819 without a remainder.

1,3,2273,6819

Greatest Common Factor

We found the factors 19,6819 . The biggest common factor number is the GCF number.
So the greatest common factor 19,6819 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 123/19, 614/6819

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 123/19, 614/6819?

Answer: LCM of Numerators as per given numbers 123/19, 614/6819 is

LCM of Numerators i.e. for 123,614 is 75522

GCF of denominators i.e. for 19,6819 is 1.

Thus, LCM of Fractions is 75522.Finally, LCM of Fractions for 123/19, 614/6819 is 75522.