Least Common Multiple of 283/80, 326/87, 460/22

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 283/80, 326/87, 460/22 quickly i.e. 21219340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 283/80, 326/87, 460/22 is 21219340.

LCM(283/80, 326/87, 460/22) = 21219340

LCM of 283/80, 326/87, 460/22

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 283/80,326/87,460/22

Given numbers are 283/80,326/87,460/22

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 283,326,460

Least Common Multiple of Numerators i.e. LCM of 283,326,460 is 21219340.

GCF of Denominators means GCF of 80,87,22 as per the given fractions.

GCF of 80,87,22 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 283,326,460

LCM of Fractions 283/80,326/87,460/22 is 21219340

2 283, 326, 460
283, 163, 230

∴ So the LCM of the given numbers is 2 x 283 x 163 x 230 = 21219340

Least Common Multiple of 283,326,460 with GCF Formula

Least Common Multiple of 283,326,460 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 283,326,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(283,326,460) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(283,326,460) x common factors =1 x 2 = 2

LCM(283,326,460) = ( 283 × 326 × 460 ) / 2

LCM(283,326,460) = 42438680 / 2

LCM(283,326,460) = 21219340


Lets's calculate GCF of 80,87,22

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21219340/1

Therefore the LCM of Fractions 283/80,326/87,460/22 is 21219340

Greatest Common Factor of 80,87,22 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,87,22 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 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Greatest Common Factor

We found the factors 80,87,22 . The biggest common factor number is the GCF number.
So the greatest common factor 80,87,22 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 283/80, 326/87, 460/22

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 283/80, 326/87, 460/22?

Answer: LCM of Numerators as per given numbers 283/80, 326/87, 460/22 is

LCM of Numerators i.e. for 283,326,460 is 21219340

GCF of denominators i.e. for 80,87,22 is 1.

Thus, LCM of Fractions is 21219340.Finally, LCM of Fractions for 283/80, 326/87, 460/22 is 21219340.