Least Common Multiple of 723/78, 691/2614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 723/78, 691/2614 quickly i.e. 499593/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 723/78, 691/2614 is 499593/2.

LCM(723/78, 691/2614) = 499593/2

LCM of 723/78, 691/2614

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 723/78,691/2614

Given numbers are 723/78,691/2614

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 723,691

Least Common Multiple of Numerators i.e. LCM of 723,691 is 499593.

GCF of Denominators means GCF of 78,2614 as per the given fractions.

GCF of 78,2614 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 723,691

LCM of Fractions 723/78,691/2614 is 499593/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 499593

Least Common Multiple of 723,691 with GCF Formula

Least Common Multiple of 723,691 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 723,691 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(723,691) = 1

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

GCF(723,691) x common factors =1 x 1 = 1

LCM(723,691) = ( 723 × 691 ) / 1

LCM(723,691) = 499593 / 1

LCM(723,691) = 499593


Lets's calculate GCF of 78,2614

2 78, 2614
39, 1307

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 499593/2

Therefore the LCM of Fractions 723/78,691/2614 is 499593/2

Greatest Common Factor of 78,2614 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,2614 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 2614

List of positive integer factors of 2614 that divides 2614 without a remainder.

1,2,1307,2614

Greatest Common Factor

We found the factors 78,2614 . The biggest common factor number is the GCF number.
So the greatest common factor 78,2614 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 723/78, 691/2614

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 723/78, 691/2614?

Answer: LCM of Numerators as per given numbers 723/78, 691/2614 is

LCM of Numerators i.e. for 723,691 is 499593

GCF of denominators i.e. for 78,2614 is 2.

Thus, LCM of Fractions is 499593/2.Finally, LCM of Fractions for 723/78, 691/2614 is 499593/2.