Least Common Multiple of 8165/167, 6923/321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8165/167, 6923/321 quickly i.e. 2457665 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8165/167, 6923/321 is 2457665.

LCM(8165/167, 6923/321) = 2457665

LCM of 8165/167, 6923/321

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 8165/167,6923/321

Given numbers are 8165/167,6923/321

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 8165,6923

Least Common Multiple of Numerators i.e. LCM of 8165,6923 is 2457665.

GCF of Denominators means GCF of 167,321 as per the given fractions.

GCF of 167,321 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8165,6923

LCM of Fractions 8165/167,6923/321 is 2457665

23 8165, 6923
355, 301

∴ So the LCM of the given numbers is 23 x 355 x 301 = 2457665

Least Common Multiple of 8165,6923 with GCF Formula

Least Common Multiple of 8165,6923 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 8165,6923 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8165,6923) = 23

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

GCF(8165,6923) x common factors =23 x 1 = 23

LCM(8165,6923) = ( 8165 × 6923 ) / 23

LCM(8165,6923) = 56526295 / 23

LCM(8165,6923) = 2457665


Lets's calculate GCF of 167,321

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2457665/1

Therefore the LCM of Fractions 8165/167,6923/321 is 2457665

Greatest Common Factor of 167,321 By Matching Biggest Common Factor Method

Greatest Common Factor of 167,321 By Matching Biggest Common Factor Method

Factors of 167

List of positive integer factors of 167 that divides 167 without a remainder.

1,167

Factors of 321

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

1,3,107,321

Greatest Common Factor

We found the factors 167,321 . The biggest common factor number is the GCF number.
So the greatest common factor 167,321 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 8165/167, 6923/321

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 8165/167, 6923/321?

Answer: LCM of Numerators as per given numbers 8165/167, 6923/321 is

LCM of Numerators i.e. for 8165,6923 is 2457665

GCF of denominators i.e. for 167,321 is 1.

Thus, LCM of Fractions is 2457665.Finally, LCM of Fractions for 8165/167, 6923/321 is 2457665.