Least Common Multiple of 8623/723, 7546/1749

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8623/723, 7546/1749 quickly i.e. 65069158/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8623/723, 7546/1749 is 65069158/3.

LCM(8623/723, 7546/1749) = 65069158/3

LCM of 8623/723, 7546/1749

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 8623/723,7546/1749

Given numbers are 8623/723,7546/1749

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 8623,7546

Least Common Multiple of Numerators i.e. LCM of 8623,7546 is 65069158.

GCF of Denominators means GCF of 723,1749 as per the given fractions.

GCF of 723,1749 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8623,7546

LCM of Fractions 8623/723,7546/1749 is 65069158/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 65069158

Least Common Multiple of 8623,7546 with GCF Formula

Least Common Multiple of 8623,7546 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 8623,7546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8623,7546) = 1

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

GCF(8623,7546) x common factors =1 x 1 = 1

LCM(8623,7546) = ( 8623 × 7546 ) / 1

LCM(8623,7546) = 65069158 / 1

LCM(8623,7546) = 65069158


Lets's calculate GCF of 723,1749

3 723, 1749
241, 583

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65069158/3

Therefore the LCM of Fractions 8623/723,7546/1749 is 65069158/3

Greatest Common Factor of 723,1749 By Matching Biggest Common Factor Method

Greatest Common Factor of 723,1749 By Matching Biggest Common Factor Method

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Factors of 1749

List of positive integer factors of 1749 that divides 1749 without a remainder.

1,3,11,33,53,159,583,1749

Greatest Common Factor

We found the factors 723,1749 . The biggest common factor number is the GCF number.
So the greatest common factor 723,1749 is 3.


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 8623/723, 7546/1749

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 8623/723, 7546/1749?

Answer: LCM of Numerators as per given numbers 8623/723, 7546/1749 is

LCM of Numerators i.e. for 8623,7546 is 65069158

GCF of denominators i.e. for 723,1749 is 3.

Thus, LCM of Fractions is 65069158/3.Finally, LCM of Fractions for 8623/723, 7546/1749 is 65069158/3.