Least Common Multiple of 3553/202, 5225/311

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3553/202, 5225/311 quickly i.e. 88825 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3553/202, 5225/311 is 88825.

LCM(3553/202, 5225/311) = 88825

LCM of 3553/202, 5225/311

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 3553/202,5225/311

Given numbers are 3553/202,5225/311

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 3553,5225

Least Common Multiple of Numerators i.e. LCM of 3553,5225 is 88825.

GCF of Denominators means GCF of 202,311 as per the given fractions.

GCF of 202,311 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3553,5225

LCM of Fractions 3553/202,5225/311 is 88825

11 3553, 5225
19 323, 475
17, 25

∴ So the LCM of the given numbers is 11 x 19 x 17 x 25 = 88825

Least Common Multiple of 3553,5225 with GCF Formula

Least Common Multiple of 3553,5225 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 3553,5225 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3553,5225) = 209

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

GCF(3553,5225) x common factors =209 x 1 = 209

LCM(3553,5225) = ( 3553 × 5225 ) / 209

LCM(3553,5225) = 18564425 / 209

LCM(3553,5225) = 88825


Lets's calculate GCF of 202,311

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88825/1

Therefore the LCM of Fractions 3553/202,5225/311 is 88825

Greatest Common Factor of 202,311 By Matching Biggest Common Factor Method

Greatest Common Factor of 202,311 By Matching Biggest Common Factor Method

Factors of 202

List of positive integer factors of 202 that divides 202 without a remainder.

1,2,101,202

Factors of 311

List of positive integer factors of 311 that divides 311 without a remainder.

1,311

Greatest Common Factor

We found the factors 202,311 . The biggest common factor number is the GCF number.
So the greatest common factor 202,311 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 3553/202, 5225/311

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 3553/202, 5225/311?

Answer: LCM of Numerators as per given numbers 3553/202, 5225/311 is

LCM of Numerators i.e. for 3553,5225 is 88825

GCF of denominators i.e. for 202,311 is 1.

Thus, LCM of Fractions is 88825.Finally, LCM of Fractions for 3553/202, 5225/311 is 88825.