Least Common Multiple of 341/14, 224/3689

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 341/14, 224/3689 quickly i.e. 10912 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 341/14, 224/3689 is 10912.

LCM(341/14, 224/3689) = 10912

LCM of 341/14, 224/3689

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 341/14,224/3689

Given numbers are 341/14,224/3689

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 341,224

Least Common Multiple of Numerators i.e. LCM of 341,224 is 76384.

GCF of Denominators means GCF of 14,3689 as per the given fractions.

GCF of 14,3689 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 341,224

LCM of Fractions 341/14,224/3689 is 10912

Given numbers has no common factors except 1. So, there LCM is their product i.e 76384

Least Common Multiple of 341,224 with GCF Formula

Least Common Multiple of 341,224 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 341,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(341,224) = 1

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

GCF(341,224) x common factors =1 x 1 = 1

LCM(341,224) = ( 341 × 224 ) / 1

LCM(341,224) = 76384 / 1

LCM(341,224) = 76384


Lets's calculate GCF of 14,3689

7 14, 3689
2, 527

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76384/7

Therefore the LCM of Fractions 341/14,224/3689 is 10912

Greatest Common Factor of 14,3689 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,3689 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 3689

List of positive integer factors of 3689 that divides 3689 without a remainder.

1,7,17,31,119,217,527,3689

Greatest Common Factor

We found the factors 14,3689 . The biggest common factor number is the GCF number.
So the greatest common factor 14,3689 is 7.


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 341/14, 224/3689

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 341/14, 224/3689?

Answer: LCM of Numerators as per given numbers 341/14, 224/3689 is

LCM of Numerators i.e. for 341,224 is 76384

GCF of denominators i.e. for 14,3689 is 7.

Thus, LCM of Fractions is 10912.Finally, LCM of Fractions for 341/14, 224/3689 is 10912.