Least Common Multiple of 8027/667, 9320/1440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8027/667, 9320/1440 quickly i.e. 74811640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8027/667, 9320/1440 is 74811640.

LCM(8027/667, 9320/1440) = 74811640

LCM of 8027/667, 9320/1440

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 8027/667,9320/1440

Given numbers are 8027/667,9320/1440

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 8027,9320

Least Common Multiple of Numerators i.e. LCM of 8027,9320 is 74811640.

GCF of Denominators means GCF of 667,1440 as per the given fractions.

GCF of 667,1440 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8027,9320

LCM of Fractions 8027/667,9320/1440 is 74811640

Given numbers has no common factors except 1. So, there LCM is their product i.e 74811640

Least Common Multiple of 8027,9320 with GCF Formula

Least Common Multiple of 8027,9320 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 8027,9320 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8027,9320) = 1

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

GCF(8027,9320) x common factors =1 x 1 = 1

LCM(8027,9320) = ( 8027 × 9320 ) / 1

LCM(8027,9320) = 74811640 / 1

LCM(8027,9320) = 74811640


Lets's calculate GCF of 667,1440

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74811640/1

Therefore the LCM of Fractions 8027/667,9320/1440 is 74811640

Greatest Common Factor of 667,1440 By Matching Biggest Common Factor Method

Greatest Common Factor of 667,1440 By Matching Biggest Common Factor Method

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1,23,29,667

Factors of 1440

List of positive integer factors of 1440 that divides 1440 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,32,36,40,45,48,60,72,80,90,96,120,144,160,180,240,288,360,480,720,1440

Greatest Common Factor

We found the factors 667,1440 . The biggest common factor number is the GCF number.
So the greatest common factor 667,1440 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 8027/667, 9320/1440

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 8027/667, 9320/1440?

Answer: LCM of Numerators as per given numbers 8027/667, 9320/1440 is

LCM of Numerators i.e. for 8027,9320 is 74811640

GCF of denominators i.e. for 667,1440 is 1.

Thus, LCM of Fractions is 74811640.Finally, LCM of Fractions for 8027/667, 9320/1440 is 74811640.