Least Common Multiple of 45/902, 3211/8309

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/902, 3211/8309 quickly i.e. 144495 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/902, 3211/8309 is 144495.

LCM(45/902, 3211/8309) = 144495

LCM of 45/902, 3211/8309

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 45/902,3211/8309

Given numbers are 45/902,3211/8309

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 45,3211

Least Common Multiple of Numerators i.e. LCM of 45,3211 is 144495.

GCF of Denominators means GCF of 902,8309 as per the given fractions.

GCF of 902,8309 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,3211

LCM of Fractions 45/902,3211/8309 is 144495

Given numbers has no common factors except 1. So, there LCM is their product i.e 144495

Least Common Multiple of 45,3211 with GCF Formula

Least Common Multiple of 45,3211 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 45,3211 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,3211) = 1

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

GCF(45,3211) x common factors =1 x 1 = 1

LCM(45,3211) = ( 45 × 3211 ) / 1

LCM(45,3211) = 144495 / 1

LCM(45,3211) = 144495


Lets's calculate GCF of 902,8309

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 144495/1

Therefore the LCM of Fractions 45/902,3211/8309 is 144495

Greatest Common Factor of 902,8309 By Matching Biggest Common Factor Method

Greatest Common Factor of 902,8309 By Matching Biggest Common Factor Method

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Factors of 8309

List of positive integer factors of 8309 that divides 8309 without a remainder.

1,7,1187,8309

Greatest Common Factor

We found the factors 902,8309 . The biggest common factor number is the GCF number.
So the greatest common factor 902,8309 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 45/902, 3211/8309

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 45/902, 3211/8309?

Answer: LCM of Numerators as per given numbers 45/902, 3211/8309 is

LCM of Numerators i.e. for 45,3211 is 144495

GCF of denominators i.e. for 902,8309 is 1.

Thus, LCM of Fractions is 144495.Finally, LCM of Fractions for 45/902, 3211/8309 is 144495.