Least Common Multiple of 481/80, 624/9245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 481/80, 624/9245 quickly i.e. 23088/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 481/80, 624/9245 is 23088/5.

LCM(481/80, 624/9245) = 23088/5

LCM of 481/80, 624/9245

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 481/80,624/9245

Given numbers are 481/80,624/9245

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 481,624

Least Common Multiple of Numerators i.e. LCM of 481,624 is 23088.

GCF of Denominators means GCF of 80,9245 as per the given fractions.

GCF of 80,9245 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 481,624

LCM of Fractions 481/80,624/9245 is 23088/5

13 481, 624
37, 48

∴ So the LCM of the given numbers is 13 x 37 x 48 = 23088

Least Common Multiple of 481,624 with GCF Formula

Least Common Multiple of 481,624 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 481,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(481,624) = 13

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

GCF(481,624) x common factors =13 x 1 = 13

LCM(481,624) = ( 481 × 624 ) / 13

LCM(481,624) = 300144 / 13

LCM(481,624) = 23088


Lets's calculate GCF of 80,9245

5 80, 9245
16, 1849

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23088/5

Therefore the LCM of Fractions 481/80,624/9245 is 23088/5

Greatest Common Factor of 80,9245 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,9245 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 9245

List of positive integer factors of 9245 that divides 9245 without a remainder.

1,5,43,215,1849,9245

Greatest Common Factor

We found the factors 80,9245 . The biggest common factor number is the GCF number.
So the greatest common factor 80,9245 is 5.


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 481/80, 624/9245

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 481/80, 624/9245?

Answer: LCM of Numerators as per given numbers 481/80, 624/9245 is

LCM of Numerators i.e. for 481,624 is 23088

GCF of denominators i.e. for 80,9245 is 5.

Thus, LCM of Fractions is 23088/5.Finally, LCM of Fractions for 481/80, 624/9245 is 23088/5.