Least Common Multiple of 22/83, 983/38, 282/387

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/83, 983/38, 282/387 quickly i.e. 3049266 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/83, 983/38, 282/387 is 3049266.

LCM(22/83, 983/38, 282/387) = 3049266

LCM of 22/83, 983/38, 282/387

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 22/83,983/38,282/387

Given numbers are 22/83,983/38,282/387

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 22,983,282

Least Common Multiple of Numerators i.e. LCM of 22,983,282 is 3049266.

GCF of Denominators means GCF of 83,38,387 as per the given fractions.

GCF of 83,38,387 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,983,282

LCM of Fractions 22/83,983/38,282/387 is 3049266

2 22, 983, 282
11, 983, 141

∴ So the LCM of the given numbers is 2 x 11 x 983 x 141 = 3049266

Least Common Multiple of 22,983,282 with GCF Formula

Least Common Multiple of 22,983,282 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 22,983,282 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,983,282) = 1

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

GCF(22,983,282) x common factors =1 x 2 = 2

LCM(22,983,282) = ( 22 × 983 × 282 ) / 2

LCM(22,983,282) = 6098532 / 2

LCM(22,983,282) = 3049266


Lets's calculate GCF of 83,38,387

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3049266/1

Therefore the LCM of Fractions 22/83,983/38,282/387 is 3049266

Greatest Common Factor of 83,38,387 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,38,387 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

Greatest Common Factor

We found the factors 83,38,387 . The biggest common factor number is the GCF number.
So the greatest common factor 83,38,387 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 22/83, 983/38, 282/387

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 22/83, 983/38, 282/387?

Answer: LCM of Numerators as per given numbers 22/83, 983/38, 282/387 is

LCM of Numerators i.e. for 22,983,282 is 3049266

GCF of denominators i.e. for 83,38,387 is 1.

Thus, LCM of Fractions is 3049266.Finally, LCM of Fractions for 22/83, 983/38, 282/387 is 3049266.