Least Common Multiple of 141/14, 609/7723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 141/14, 609/7723 quickly i.e. 28623 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 141/14, 609/7723 is 28623.

LCM(141/14, 609/7723) = 28623

LCM of 141/14, 609/7723

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 141/14,609/7723

Given numbers are 141/14,609/7723

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 141,609

Least Common Multiple of Numerators i.e. LCM of 141,609 is 28623.

GCF of Denominators means GCF of 14,7723 as per the given fractions.

GCF of 14,7723 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 141,609

LCM of Fractions 141/14,609/7723 is 28623

3 141, 609
47, 203

∴ So the LCM of the given numbers is 3 x 47 x 203 = 28623

Least Common Multiple of 141,609 with GCF Formula

Least Common Multiple of 141,609 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 141,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(141,609) = 3

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

GCF(141,609) x common factors =3 x 1 = 3

LCM(141,609) = ( 141 × 609 ) / 3

LCM(141,609) = 85869 / 3

LCM(141,609) = 28623


Lets's calculate GCF of 14,7723

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28623/1

Therefore the LCM of Fractions 141/14,609/7723 is 28623

Greatest Common Factor of 14,7723 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,7723 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 7723

List of positive integer factors of 7723 that divides 7723 without a remainder.

1,7723

Greatest Common Factor

We found the factors 14,7723 . The biggest common factor number is the GCF number.
So the greatest common factor 14,7723 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 141/14, 609/7723

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 141/14, 609/7723?

Answer: LCM of Numerators as per given numbers 141/14, 609/7723 is

LCM of Numerators i.e. for 141,609 is 28623

GCF of denominators i.e. for 14,7723 is 1.

Thus, LCM of Fractions is 28623.Finally, LCM of Fractions for 141/14, 609/7723 is 28623.