Least Common Multiple of 863/43, 673/23, 435/221

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 863/43, 673/23, 435/221 quickly i.e. 252647565 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 863/43, 673/23, 435/221 is 252647565.

LCM(863/43, 673/23, 435/221) = 252647565

LCM of 863/43, 673/23, 435/221

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 863/43,673/23,435/221

Given numbers are 863/43,673/23,435/221

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 863,673,435

Least Common Multiple of Numerators i.e. LCM of 863,673,435 is 252647565.

GCF of Denominators means GCF of 43,23,221 as per the given fractions.

GCF of 43,23,221 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 863,673,435

LCM of Fractions 863/43,673/23,435/221 is 252647565

Given numbers has no common factors except 1. So, there LCM is their product i.e 252647565

Least Common Multiple of 863,673,435 with GCF Formula

Least Common Multiple of 863,673,435 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 863,673,435 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(863,673,435) = 1

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

GCF(863,673,435) x common factors =1 x 1 = 1

LCM(863,673,435) = ( 863 × 673 × 435 ) / 1

LCM(863,673,435) = 252647565 / 1

LCM(863,673,435) = 252647565


Lets's calculate GCF of 43,23,221

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 252647565/1

Therefore the LCM of Fractions 863/43,673/23,435/221 is 252647565

Greatest Common Factor of 43,23,221 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,23,221 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

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 43,23,221 . The biggest common factor number is the GCF number.
So the greatest common factor 43,23,221 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 863/43, 673/23, 435/221

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 863/43, 673/23, 435/221?

Answer: LCM of Numerators as per given numbers 863/43, 673/23, 435/221 is

LCM of Numerators i.e. for 863,673,435 is 252647565

GCF of denominators i.e. for 43,23,221 is 1.

Thus, LCM of Fractions is 252647565.Finally, LCM of Fractions for 863/43, 673/23, 435/221 is 252647565.