Least Common Multiple of 28/221, 40/426, 649/229

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/221, 40/426, 649/229 quickly i.e. 181720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/221, 40/426, 649/229 is 181720.

LCM(28/221, 40/426, 649/229) = 181720

LCM of 28/221, 40/426, 649/229

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 28/221,40/426,649/229

Given numbers are 28/221,40/426,649/229

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 28,40,649

Least Common Multiple of Numerators i.e. LCM of 28,40,649 is 181720.

GCF of Denominators means GCF of 221,426,229 as per the given fractions.

GCF of 221,426,229 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,40,649

LCM of Fractions 28/221,40/426,649/229 is 181720

2 28, 40, 649
2 14, 20, 649
7, 10, 649

∴ So the LCM of the given numbers is 2 x 2 x 7 x 10 x 649 = 181720

Least Common Multiple of 28,40,649 with GCF Formula

Least Common Multiple of 28,40,649 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 28,40,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,40,649) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(28,40,649) x common factors =1 x 4 = 4

LCM(28,40,649) = ( 28 × 40 × 649 ) / 4

LCM(28,40,649) = 726880 / 4

LCM(28,40,649) = 181720


Lets's calculate GCF of 221,426,229

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 181720/1

Therefore the LCM of Fractions 28/221,40/426,649/229 is 181720

Greatest Common Factor of 221,426,229 By Matching Biggest Common Factor Method

Greatest Common Factor of 221,426,229 By Matching Biggest Common Factor Method

Factors of 221

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

1,13,17,221

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Factors of 229

List of positive integer factors of 229 that divides 229 without a remainder.

1,229

Greatest Common Factor

We found the factors 221,426,229 . The biggest common factor number is the GCF number.
So the greatest common factor 221,426,229 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 28/221, 40/426, 649/229

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 28/221, 40/426, 649/229?

Answer: LCM of Numerators as per given numbers 28/221, 40/426, 649/229 is

LCM of Numerators i.e. for 28,40,649 is 181720

GCF of denominators i.e. for 221,426,229 is 1.

Thus, LCM of Fractions is 181720.Finally, LCM of Fractions for 28/221, 40/426, 649/229 is 181720.