Least Common Multiple of 397/286, 960/214, 729/221

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 397/286, 960/214, 729/221 quickly i.e. 92612160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 397/286, 960/214, 729/221 is 92612160.

LCM(397/286, 960/214, 729/221) = 92612160

LCM of 397/286, 960/214, 729/221

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 397/286,960/214,729/221

Given numbers are 397/286,960/214,729/221

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 397,960,729

Least Common Multiple of Numerators i.e. LCM of 397,960,729 is 92612160.

GCF of Denominators means GCF of 286,214,221 as per the given fractions.

GCF of 286,214,221 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 397,960,729

LCM of Fractions 397/286,960/214,729/221 is 92612160

3 397, 960, 729
397, 320, 243

∴ So the LCM of the given numbers is 3 x 397 x 320 x 243 = 92612160

Least Common Multiple of 397,960,729 with GCF Formula

Least Common Multiple of 397,960,729 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 397,960,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(397,960,729) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(397,960,729) x common factors =1 x 3 = 3

LCM(397,960,729) = ( 397 × 960 × 729 ) / 3

LCM(397,960,729) = 277836480 / 3

LCM(397,960,729) = 92612160


Lets's calculate GCF of 286,214,221

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 92612160/1

Therefore the LCM of Fractions 397/286,960/214,729/221 is 92612160

Greatest Common Factor of 286,214,221 By Matching Biggest Common Factor Method

Greatest Common Factor of 286,214,221 By Matching Biggest Common Factor Method

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

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 286,214,221 . The biggest common factor number is the GCF number.
So the greatest common factor 286,214,221 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 397/286, 960/214, 729/221

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 397/286, 960/214, 729/221?

Answer: LCM of Numerators as per given numbers 397/286, 960/214, 729/221 is

LCM of Numerators i.e. for 397,960,729 is 92612160

GCF of denominators i.e. for 286,214,221 is 1.

Thus, LCM of Fractions is 92612160.Finally, LCM of Fractions for 397/286, 960/214, 729/221 is 92612160.