Least Common Multiple of 221/13, 425/2295

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 221/13, 425/2295 quickly i.e. 5525 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 221/13, 425/2295 is 5525.

LCM(221/13, 425/2295) = 5525

LCM of 221/13, 425/2295

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 221/13,425/2295

Given numbers are 221/13,425/2295

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 221,425

Least Common Multiple of Numerators i.e. LCM of 221,425 is 5525.

GCF of Denominators means GCF of 13,2295 as per the given fractions.

GCF of 13,2295 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 221,425

LCM of Fractions 221/13,425/2295 is 5525

17 221, 425
13, 25

∴ So the LCM of the given numbers is 17 x 13 x 25 = 5525

Least Common Multiple of 221,425 with GCF Formula

Least Common Multiple of 221,425 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 221,425 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(221,425) = 17

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

GCF(221,425) x common factors =17 x 1 = 17

LCM(221,425) = ( 221 × 425 ) / 17

LCM(221,425) = 93925 / 17

LCM(221,425) = 5525


Lets's calculate GCF of 13,2295

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5525/1

Therefore the LCM of Fractions 221/13,425/2295 is 5525

Greatest Common Factor of 13,2295 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,2295 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 2295

List of positive integer factors of 2295 that divides 2295 without a remainder.

1,3,5,9,15,17,27,45,51,85,135,153,255,459,765,2295

Greatest Common Factor

We found the factors 13,2295 . The biggest common factor number is the GCF number.
So the greatest common factor 13,2295 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 221/13, 425/2295

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 221/13, 425/2295?

Answer: LCM of Numerators as per given numbers 221/13, 425/2295 is

LCM of Numerators i.e. for 221,425 is 5525

GCF of denominators i.e. for 13,2295 is 1.

Thus, LCM of Fractions is 5525.Finally, LCM of Fractions for 221/13, 425/2295 is 5525.