Least Common Multiple of 490/27, 221/3395

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 490/27, 221/3395 quickly i.e. 108290 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 490/27, 221/3395 is 108290.

LCM(490/27, 221/3395) = 108290

LCM of 490/27, 221/3395

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 490/27,221/3395

Given numbers are 490/27,221/3395

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 490,221

Least Common Multiple of Numerators i.e. LCM of 490,221 is 108290.

GCF of Denominators means GCF of 27,3395 as per the given fractions.

GCF of 27,3395 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 490,221

LCM of Fractions 490/27,221/3395 is 108290

Given numbers has no common factors except 1. So, there LCM is their product i.e 108290

Least Common Multiple of 490,221 with GCF Formula

Least Common Multiple of 490,221 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 490,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(490,221) = 1

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

GCF(490,221) x common factors =1 x 1 = 1

LCM(490,221) = ( 490 × 221 ) / 1

LCM(490,221) = 108290 / 1

LCM(490,221) = 108290


Lets's calculate GCF of 27,3395

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 108290/1

Therefore the LCM of Fractions 490/27,221/3395 is 108290

Greatest Common Factor of 27,3395 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,3395 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 3395

List of positive integer factors of 3395 that divides 3395 without a remainder.

1,5,7,35,97,485,679,3395

Greatest Common Factor

We found the factors 27,3395 . The biggest common factor number is the GCF number.
So the greatest common factor 27,3395 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 490/27, 221/3395

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 490/27, 221/3395?

Answer: LCM of Numerators as per given numbers 490/27, 221/3395 is

LCM of Numerators i.e. for 490,221 is 108290

GCF of denominators i.e. for 27,3395 is 1.

Thus, LCM of Fractions is 108290.Finally, LCM of Fractions for 490/27, 221/3395 is 108290.