Least Common Multiple of 40/576, 582/684, 280/467

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/576, 582/684, 280/467 quickly i.e. 81480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/576, 582/684, 280/467 is 81480.

LCM(40/576, 582/684, 280/467) = 81480

LCM of 40/576, 582/684, 280/467

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 40/576,582/684,280/467

Given numbers are 40/576,582/684,280/467

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 40,582,280

Least Common Multiple of Numerators i.e. LCM of 40,582,280 is 81480.

GCF of Denominators means GCF of 576,684,467 as per the given fractions.

GCF of 576,684,467 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,582,280

LCM of Fractions 40/576,582/684,280/467 is 81480

2 40, 582, 280
2 20, 291, 140
2 10, 291, 70
5 5, 291, 35
1, 291, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 1 x 291 x 7 = 81480

Least Common Multiple of 40,582,280 with GCF Formula

Least Common Multiple of 40,582,280 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 40,582,280 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,582,280) = 2

common factors(in case of two or more numbers have common factors) = 40

GCF(40,582,280) x common factors =2 x 40 = 80

LCM(40,582,280) = ( 40 × 582 × 280 ) / 80

LCM(40,582,280) = 6518400 / 80

LCM(40,582,280) = 81480


Lets's calculate GCF of 576,684,467

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81480/1

Therefore the LCM of Fractions 40/576,582/684,280/467 is 81480

Greatest Common Factor of 576,684,467 By Matching Biggest Common Factor Method

Greatest Common Factor of 576,684,467 By Matching Biggest Common Factor Method

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Factors of 467

List of positive integer factors of 467 that divides 467 without a remainder.

1,467

Greatest Common Factor

We found the factors 576,684,467 . The biggest common factor number is the GCF number.
So the greatest common factor 576,684,467 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 40/576, 582/684, 280/467

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 40/576, 582/684, 280/467?

Answer: LCM of Numerators as per given numbers 40/576, 582/684, 280/467 is

LCM of Numerators i.e. for 40,582,280 is 81480

GCF of denominators i.e. for 576,684,467 is 1.

Thus, LCM of Fractions is 81480.Finally, LCM of Fractions for 40/576, 582/684, 280/467 is 81480.