Least Common Multiple of 344/315, 8914/8173

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 344/315, 8914/8173 quickly i.e. 1533208 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 344/315, 8914/8173 is 1533208.

LCM(344/315, 8914/8173) = 1533208

LCM of 344/315, 8914/8173

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 344/315,8914/8173

Given numbers are 344/315,8914/8173

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 344,8914

Least Common Multiple of Numerators i.e. LCM of 344,8914 is 1533208.

GCF of Denominators means GCF of 315,8173 as per the given fractions.

GCF of 315,8173 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 344,8914

LCM of Fractions 344/315,8914/8173 is 1533208

2 344, 8914
172, 4457

∴ So the LCM of the given numbers is 2 x 172 x 4457 = 1533208

Least Common Multiple of 344,8914 with GCF Formula

Least Common Multiple of 344,8914 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 344,8914 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(344,8914) = 2

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

GCF(344,8914) x common factors =2 x 1 = 2

LCM(344,8914) = ( 344 × 8914 ) / 2

LCM(344,8914) = 3066416 / 2

LCM(344,8914) = 1533208


Lets's calculate GCF of 315,8173

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1533208/1

Therefore the LCM of Fractions 344/315,8914/8173 is 1533208

Greatest Common Factor of 315,8173 By Matching Biggest Common Factor Method

Greatest Common Factor of 315,8173 By Matching Biggest Common Factor Method

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Factors of 8173

List of positive integer factors of 8173 that divides 8173 without a remainder.

1,11,743,8173

Greatest Common Factor

We found the factors 315,8173 . The biggest common factor number is the GCF number.
So the greatest common factor 315,8173 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 344/315, 8914/8173

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 344/315, 8914/8173?

Answer: LCM of Numerators as per given numbers 344/315, 8914/8173 is

LCM of Numerators i.e. for 344,8914 is 1533208

GCF of denominators i.e. for 315,8173 is 1.

Thus, LCM of Fractions is 1533208.Finally, LCM of Fractions for 344/315, 8914/8173 is 1533208.