Least Common Multiple of 65/442, 9152/9723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/442, 9152/9723 quickly i.e. 45760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/442, 9152/9723 is 45760.

LCM(65/442, 9152/9723) = 45760

LCM of 65/442, 9152/9723

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 65/442,9152/9723

Given numbers are 65/442,9152/9723

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 65,9152

Least Common Multiple of Numerators i.e. LCM of 65,9152 is 45760.

GCF of Denominators means GCF of 442,9723 as per the given fractions.

GCF of 442,9723 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,9152

LCM of Fractions 65/442,9152/9723 is 45760

13 65, 9152
5, 704

∴ So the LCM of the given numbers is 13 x 5 x 704 = 45760

Least Common Multiple of 65,9152 with GCF Formula

Least Common Multiple of 65,9152 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 65,9152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,9152) = 13

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

GCF(65,9152) x common factors =13 x 1 = 13

LCM(65,9152) = ( 65 × 9152 ) / 13

LCM(65,9152) = 594880 / 13

LCM(65,9152) = 45760


Lets's calculate GCF of 442,9723

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45760/1

Therefore the LCM of Fractions 65/442,9152/9723 is 45760

Greatest Common Factor of 442,9723 By Matching Biggest Common Factor Method

Greatest Common Factor of 442,9723 By Matching Biggest Common Factor Method

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Factors of 9723

List of positive integer factors of 9723 that divides 9723 without a remainder.

1,3,7,21,463,1389,3241,9723

Greatest Common Factor

We found the factors 442,9723 . The biggest common factor number is the GCF number.
So the greatest common factor 442,9723 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 65/442, 9152/9723

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 65/442, 9152/9723?

Answer: LCM of Numerators as per given numbers 65/442, 9152/9723 is

LCM of Numerators i.e. for 65,9152 is 45760

GCF of denominators i.e. for 442,9723 is 1.

Thus, LCM of Fractions is 45760.Finally, LCM of Fractions for 65/442, 9152/9723 is 45760.