Least Common Multiple of 65/943, 8723/3508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/943, 8723/3508 quickly i.e. 43615 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/943, 8723/3508 is 43615.

LCM(65/943, 8723/3508) = 43615

LCM of 65/943, 8723/3508

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 65/943,8723/3508

Given numbers are 65/943,8723/3508

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 65,8723

Least Common Multiple of Numerators i.e. LCM of 65,8723 is 43615.

GCF of Denominators means GCF of 943,3508 as per the given fractions.

GCF of 943,3508 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,8723

LCM of Fractions 65/943,8723/3508 is 43615

13 65, 8723
5, 671

∴ So the LCM of the given numbers is 13 x 5 x 671 = 43615

Least Common Multiple of 65,8723 with GCF Formula

Least Common Multiple of 65,8723 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 65,8723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,8723) = 13

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

GCF(65,8723) x common factors =13 x 1 = 13

LCM(65,8723) = ( 65 × 8723 ) / 13

LCM(65,8723) = 566995 / 13

LCM(65,8723) = 43615


Lets's calculate GCF of 943,3508

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43615/1

Therefore the LCM of Fractions 65/943,8723/3508 is 43615

Greatest Common Factor of 943,3508 By Matching Biggest Common Factor Method

Greatest Common Factor of 943,3508 By Matching Biggest Common Factor Method

Factors of 943

List of positive integer factors of 943 that divides 943 without a remainder.

1,23,41,943

Factors of 3508

List of positive integer factors of 3508 that divides 3508 without a remainder.

1,2,4,877,1754,3508

Greatest Common Factor

We found the factors 943,3508 . The biggest common factor number is the GCF number.
So the greatest common factor 943,3508 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 65/943, 8723/3508

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 65/943, 8723/3508?

Answer: LCM of Numerators as per given numbers 65/943, 8723/3508 is

LCM of Numerators i.e. for 65,8723 is 43615

GCF of denominators i.e. for 943,3508 is 1.

Thus, LCM of Fractions is 43615.Finally, LCM of Fractions for 65/943, 8723/3508 is 43615.