Least Common Multiple of 230/982, 2282/4022

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 230/982, 2282/4022 quickly i.e. 131215 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 230/982, 2282/4022 is 131215.

LCM(230/982, 2282/4022) = 131215

LCM of 230/982, 2282/4022

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 230/982,2282/4022

Given numbers are 230/982,2282/4022

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 230,2282

Least Common Multiple of Numerators i.e. LCM of 230,2282 is 262430.

GCF of Denominators means GCF of 982,4022 as per the given fractions.

GCF of 982,4022 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 230,2282

LCM of Fractions 230/982,2282/4022 is 131215

2 230, 2282
115, 1141

∴ So the LCM of the given numbers is 2 x 115 x 1141 = 262430

Least Common Multiple of 230,2282 with GCF Formula

Least Common Multiple of 230,2282 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 230,2282 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(230,2282) = 2

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

GCF(230,2282) x common factors =2 x 1 = 2

LCM(230,2282) = ( 230 × 2282 ) / 2

LCM(230,2282) = 524860 / 2

LCM(230,2282) = 262430


Lets's calculate GCF of 982,4022

2 982, 4022
491, 2011

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 262430/2

Therefore the LCM of Fractions 230/982,2282/4022 is 131215

Greatest Common Factor of 982,4022 By Matching Biggest Common Factor Method

Greatest Common Factor of 982,4022 By Matching Biggest Common Factor Method

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Factors of 4022

List of positive integer factors of 4022 that divides 4022 without a remainder.

1,2,2011,4022

Greatest Common Factor

We found the factors 982,4022 . The biggest common factor number is the GCF number.
So the greatest common factor 982,4022 is 2.


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 230/982, 2282/4022

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 230/982, 2282/4022?

Answer: LCM of Numerators as per given numbers 230/982, 2282/4022 is

LCM of Numerators i.e. for 230,2282 is 262430

GCF of denominators i.e. for 982,4022 is 2.

Thus, LCM of Fractions is 131215.Finally, LCM of Fractions for 230/982, 2282/4022 is 131215.