Least Common Multiple of 84/352, 1673/6367

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 84/352, 1673/6367 quickly i.e. 20076 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/352, 1673/6367 is 20076.

LCM(84/352, 1673/6367) = 20076

LCM of 84/352, 1673/6367

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 84/352,1673/6367

Given numbers are 84/352,1673/6367

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 84,1673

Least Common Multiple of Numerators i.e. LCM of 84,1673 is 20076.

GCF of Denominators means GCF of 352,6367 as per the given fractions.

GCF of 352,6367 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,1673

LCM of Fractions 84/352,1673/6367 is 20076

7 84, 1673
12, 239

∴ So the LCM of the given numbers is 7 x 12 x 239 = 20076

Least Common Multiple of 84,1673 with GCF Formula

Least Common Multiple of 84,1673 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 84,1673 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,1673) = 7

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

GCF(84,1673) x common factors =7 x 1 = 7

LCM(84,1673) = ( 84 × 1673 ) / 7

LCM(84,1673) = 140532 / 7

LCM(84,1673) = 20076


Lets's calculate GCF of 352,6367

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20076/1

Therefore the LCM of Fractions 84/352,1673/6367 is 20076

Greatest Common Factor of 352,6367 By Matching Biggest Common Factor Method

Greatest Common Factor of 352,6367 By Matching Biggest Common Factor Method

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Factors of 6367

List of positive integer factors of 6367 that divides 6367 without a remainder.

1,6367

Greatest Common Factor

We found the factors 352,6367 . The biggest common factor number is the GCF number.
So the greatest common factor 352,6367 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 84/352, 1673/6367

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 84/352, 1673/6367?

Answer: LCM of Numerators as per given numbers 84/352, 1673/6367 is

LCM of Numerators i.e. for 84,1673 is 20076

GCF of denominators i.e. for 352,6367 is 1.

Thus, LCM of Fractions is 20076.Finally, LCM of Fractions for 84/352, 1673/6367 is 20076.