Least Common Multiple of 8341/480, 8077/330

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8341/480, 8077/330 quickly i.e. 67370257/30 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8341/480, 8077/330 is 67370257/30.

LCM(8341/480, 8077/330) = 67370257/30

LCM of 8341/480, 8077/330

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 8341/480,8077/330

Given numbers are 8341/480,8077/330

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 8341,8077

Least Common Multiple of Numerators i.e. LCM of 8341,8077 is 67370257.

GCF of Denominators means GCF of 480,330 as per the given fractions.

GCF of 480,330 is 30 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8341,8077

LCM of Fractions 8341/480,8077/330 is 67370257/30

Given numbers has no common factors except 1. So, there LCM is their product i.e 67370257

Least Common Multiple of 8341,8077 with GCF Formula

Least Common Multiple of 8341,8077 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 8341,8077 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8341,8077) = 1

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

GCF(8341,8077) x common factors =1 x 1 = 1

LCM(8341,8077) = ( 8341 × 8077 ) / 1

LCM(8341,8077) = 67370257 / 1

LCM(8341,8077) = 67370257


Lets's calculate GCF of 480,330

2 480, 330
3 240, 165
5 80, 55
16, 11

∴ So the GCF of the given numbers is 2 x 3 x 5 = 30

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67370257/30

Therefore the LCM of Fractions 8341/480,8077/330 is 67370257/30

Greatest Common Factor of 480,330 By Matching Biggest Common Factor Method

Greatest Common Factor of 480,330 By Matching Biggest Common Factor Method

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Greatest Common Factor

We found the factors 480,330 . The biggest common factor number is the GCF number.
So the greatest common factor 480,330 is 30.


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 8341/480, 8077/330

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 8341/480, 8077/330?

Answer: LCM of Numerators as per given numbers 8341/480, 8077/330 is

LCM of Numerators i.e. for 8341,8077 is 67370257

GCF of denominators i.e. for 480,330 is 30.

Thus, LCM of Fractions is 67370257/30.Finally, LCM of Fractions for 8341/480, 8077/330 is 67370257/30.