Least Common Multiple of 23/715, 1454/8613

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/715, 1454/8613 quickly i.e. 33442/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/715, 1454/8613 is 33442/11.

LCM(23/715, 1454/8613) = 33442/11

LCM of 23/715, 1454/8613

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 23/715,1454/8613

Given numbers are 23/715,1454/8613

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 23,1454

Least Common Multiple of Numerators i.e. LCM of 23,1454 is 33442.

GCF of Denominators means GCF of 715,8613 as per the given fractions.

GCF of 715,8613 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,1454

LCM of Fractions 23/715,1454/8613 is 33442/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 33442

Least Common Multiple of 23,1454 with GCF Formula

Least Common Multiple of 23,1454 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 23,1454 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,1454) = 1

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

GCF(23,1454) x common factors =1 x 1 = 1

LCM(23,1454) = ( 23 × 1454 ) / 1

LCM(23,1454) = 33442 / 1

LCM(23,1454) = 33442


Lets's calculate GCF of 715,8613

11 715, 8613
65, 783

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33442/11

Therefore the LCM of Fractions 23/715,1454/8613 is 33442/11

Greatest Common Factor of 715,8613 By Matching Biggest Common Factor Method

Greatest Common Factor of 715,8613 By Matching Biggest Common Factor Method

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Factors of 8613

List of positive integer factors of 8613 that divides 8613 without a remainder.

1,3,9,11,27,29,33,87,99,261,297,319,783,957,2871,8613

Greatest Common Factor

We found the factors 715,8613 . The biggest common factor number is the GCF number.
So the greatest common factor 715,8613 is 11.


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 23/715, 1454/8613

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 23/715, 1454/8613?

Answer: LCM of Numerators as per given numbers 23/715, 1454/8613 is

LCM of Numerators i.e. for 23,1454 is 33442

GCF of denominators i.e. for 715,8613 is 11.

Thus, LCM of Fractions is 33442/11.Finally, LCM of Fractions for 23/715, 1454/8613 is 33442/11.