Least Common Multiple of 4021/255, 1683/221

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4021/255, 1683/221 quickly i.e. 398079 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4021/255, 1683/221 is 398079.

LCM(4021/255, 1683/221) = 398079

LCM of 4021/255, 1683/221

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 4021/255,1683/221

Given numbers are 4021/255,1683/221

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 4021,1683

Least Common Multiple of Numerators i.e. LCM of 4021,1683 is 6767343.

GCF of Denominators means GCF of 255,221 as per the given fractions.

GCF of 255,221 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4021,1683

LCM of Fractions 4021/255,1683/221 is 398079

Given numbers has no common factors except 1. So, there LCM is their product i.e 6767343

Least Common Multiple of 4021,1683 with GCF Formula

Least Common Multiple of 4021,1683 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 4021,1683 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4021,1683) = 1

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

GCF(4021,1683) x common factors =1 x 1 = 1

LCM(4021,1683) = ( 4021 × 1683 ) / 1

LCM(4021,1683) = 6767343 / 1

LCM(4021,1683) = 6767343


Lets's calculate GCF of 255,221

17 255, 221
15, 13

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6767343/17

Therefore the LCM of Fractions 4021/255,1683/221 is 398079

Greatest Common Factor of 255,221 By Matching Biggest Common Factor Method

Greatest Common Factor of 255,221 By Matching Biggest Common Factor Method

Factors of 255

List of positive integer factors of 255 that divides 255 without a remainder.

1,3,5,15,17,51,85,255

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Greatest Common Factor

We found the factors 255,221 . The biggest common factor number is the GCF number.
So the greatest common factor 255,221 is 17.


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 4021/255, 1683/221

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 4021/255, 1683/221?

Answer: LCM of Numerators as per given numbers 4021/255, 1683/221 is

LCM of Numerators i.e. for 4021,1683 is 6767343

GCF of denominators i.e. for 255,221 is 17.

Thus, LCM of Fractions is 398079.Finally, LCM of Fractions for 4021/255, 1683/221 is 398079.