Least Common Multiple of 723/72, 920/8317

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 723/72, 920/8317 quickly i.e. 665160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 723/72, 920/8317 is 665160.

LCM(723/72, 920/8317) = 665160

LCM of 723/72, 920/8317

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 723/72,920/8317

Given numbers are 723/72,920/8317

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 723,920

Least Common Multiple of Numerators i.e. LCM of 723,920 is 665160.

GCF of Denominators means GCF of 72,8317 as per the given fractions.

GCF of 72,8317 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 723,920

LCM of Fractions 723/72,920/8317 is 665160

Given numbers has no common factors except 1. So, there LCM is their product i.e 665160

Least Common Multiple of 723,920 with GCF Formula

Least Common Multiple of 723,920 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 723,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(723,920) = 1

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

GCF(723,920) x common factors =1 x 1 = 1

LCM(723,920) = ( 723 × 920 ) / 1

LCM(723,920) = 665160 / 1

LCM(723,920) = 665160


Lets's calculate GCF of 72,8317

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 665160/1

Therefore the LCM of Fractions 723/72,920/8317 is 665160

Greatest Common Factor of 72,8317 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,8317 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 8317

List of positive integer factors of 8317 that divides 8317 without a remainder.

1,8317

Greatest Common Factor

We found the factors 72,8317 . The biggest common factor number is the GCF number.
So the greatest common factor 72,8317 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 723/72, 920/8317

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 723/72, 920/8317?

Answer: LCM of Numerators as per given numbers 723/72, 920/8317 is

LCM of Numerators i.e. for 723,920 is 665160

GCF of denominators i.e. for 72,8317 is 1.

Thus, LCM of Fractions is 665160.Finally, LCM of Fractions for 723/72, 920/8317 is 665160.