Least Common Multiple of 609/420, 3829/5319

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 609/420, 3829/5319 quickly i.e. 111041 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 609/420, 3829/5319 is 111041.

LCM(609/420, 3829/5319) = 111041

LCM of 609/420, 3829/5319

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 609/420,3829/5319

Given numbers are 609/420,3829/5319

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 609,3829

Least Common Multiple of Numerators i.e. LCM of 609,3829 is 333123.

GCF of Denominators means GCF of 420,5319 as per the given fractions.

GCF of 420,5319 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 609,3829

LCM of Fractions 609/420,3829/5319 is 111041

7 609, 3829
87, 547

∴ So the LCM of the given numbers is 7 x 87 x 547 = 333123

Least Common Multiple of 609,3829 with GCF Formula

Least Common Multiple of 609,3829 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 609,3829 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(609,3829) = 7

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

GCF(609,3829) x common factors =7 x 1 = 7

LCM(609,3829) = ( 609 × 3829 ) / 7

LCM(609,3829) = 2331861 / 7

LCM(609,3829) = 333123


Lets's calculate GCF of 420,5319

3 420, 5319
140, 1773

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 333123/3

Therefore the LCM of Fractions 609/420,3829/5319 is 111041

Greatest Common Factor of 420,5319 By Matching Biggest Common Factor Method

Greatest Common Factor of 420,5319 By Matching Biggest Common Factor Method

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 5319

List of positive integer factors of 5319 that divides 5319 without a remainder.

1,3,9,27,197,591,1773,5319

Greatest Common Factor

We found the factors 420,5319 . The biggest common factor number is the GCF number.
So the greatest common factor 420,5319 is 3.


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 609/420, 3829/5319

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 609/420, 3829/5319?

Answer: LCM of Numerators as per given numbers 609/420, 3829/5319 is

LCM of Numerators i.e. for 609,3829 is 333123

GCF of denominators i.e. for 420,5319 is 3.

Thus, LCM of Fractions is 111041.Finally, LCM of Fractions for 609/420, 3829/5319 is 111041.