Least Common Multiple of 614/14, 899/24, 723/638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 614/14, 899/24, 723/638 quickly i.e. 199542939 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 614/14, 899/24, 723/638 is 199542939.

LCM(614/14, 899/24, 723/638) = 199542939

LCM of 614/14, 899/24, 723/638

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 614/14,899/24,723/638

Given numbers are 614/14,899/24,723/638

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 614,899,723

Least Common Multiple of Numerators i.e. LCM of 614,899,723 is 399085878.

GCF of Denominators means GCF of 14,24,638 as per the given fractions.

GCF of 14,24,638 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 614,899,723

LCM of Fractions 614/14,899/24,723/638 is 199542939

Given numbers has no common factors except 1. So, there LCM is their product i.e 399085878

Least Common Multiple of 614,899,723 with GCF Formula

Least Common Multiple of 614,899,723 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 614,899,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(614,899,723) = 1

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

GCF(614,899,723) x common factors =1 x 1 = 1

LCM(614,899,723) = ( 614 × 899 × 723 ) / 1

LCM(614,899,723) = 399085878 / 1

LCM(614,899,723) = 399085878


Lets's calculate GCF of 14,24,638

2 14, 24, 638
7, 12, 319

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 399085878/2

Therefore the LCM of Fractions 614/14,899/24,723/638 is 199542939

Greatest Common Factor of 14,24,638 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,24,638 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 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Greatest Common Factor

We found the factors 14,24,638 . The biggest common factor number is the GCF number.
So the greatest common factor 14,24,638 is 2.


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 614/14, 899/24, 723/638

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 614/14, 899/24, 723/638?

Answer: LCM of Numerators as per given numbers 614/14, 899/24, 723/638 is

LCM of Numerators i.e. for 614,899,723 is 399085878

GCF of denominators i.e. for 14,24,638 is 2.

Thus, LCM of Fractions is 199542939.Finally, LCM of Fractions for 614/14, 899/24, 723/638 is 199542939.