Least Common Multiple of 684/321, 8336/1165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 684/321, 8336/1165 quickly i.e. 1425456 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 684/321, 8336/1165 is 1425456.

LCM(684/321, 8336/1165) = 1425456

LCM of 684/321, 8336/1165

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 684/321,8336/1165

Given numbers are 684/321,8336/1165

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 684,8336

Least Common Multiple of Numerators i.e. LCM of 684,8336 is 1425456.

GCF of Denominators means GCF of 321,1165 as per the given fractions.

GCF of 321,1165 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 684,8336

LCM of Fractions 684/321,8336/1165 is 1425456

2 684, 8336
2 342, 4168
171, 2084

∴ So the LCM of the given numbers is 2 x 2 x 171 x 2084 = 1425456

Least Common Multiple of 684,8336 with GCF Formula

Least Common Multiple of 684,8336 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 684,8336 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(684,8336) = 4

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

GCF(684,8336) x common factors =4 x 1 = 4

LCM(684,8336) = ( 684 × 8336 ) / 4

LCM(684,8336) = 5701824 / 4

LCM(684,8336) = 1425456


Lets's calculate GCF of 321,1165

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1425456/1

Therefore the LCM of Fractions 684/321,8336/1165 is 1425456

Greatest Common Factor of 321,1165 By Matching Biggest Common Factor Method

Greatest Common Factor of 321,1165 By Matching Biggest Common Factor Method

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Factors of 1165

List of positive integer factors of 1165 that divides 1165 without a remainder.

1,5,233,1165

Greatest Common Factor

We found the factors 321,1165 . The biggest common factor number is the GCF number.
So the greatest common factor 321,1165 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 684/321, 8336/1165

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 684/321, 8336/1165?

Answer: LCM of Numerators as per given numbers 684/321, 8336/1165 is

LCM of Numerators i.e. for 684,8336 is 1425456

GCF of denominators i.e. for 321,1165 is 1.

Thus, LCM of Fractions is 1425456.Finally, LCM of Fractions for 684/321, 8336/1165 is 1425456.