Least Common Multiple of 38/559, 404/372, 817/689

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/559, 404/372, 817/689 quickly i.e. 330068 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/559, 404/372, 817/689 is 330068.

LCM(38/559, 404/372, 817/689) = 330068

LCM of 38/559, 404/372, 817/689

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 38/559,404/372,817/689

Given numbers are 38/559,404/372,817/689

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 38,404,817

Least Common Multiple of Numerators i.e. LCM of 38,404,817 is 330068.

GCF of Denominators means GCF of 559,372,689 as per the given fractions.

GCF of 559,372,689 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,404,817

LCM of Fractions 38/559,404/372,817/689 is 330068

2 38, 404, 817
19 19, 202, 817
1, 202, 43

∴ So the LCM of the given numbers is 2 x 19 x 1 x 202 x 43 = 330068

Least Common Multiple of 38,404,817 with GCF Formula

Least Common Multiple of 38,404,817 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 38,404,817 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,404,817) = 1

common factors(in case of two or more numbers have common factors) = 38

GCF(38,404,817) x common factors =1 x 38 = 38

LCM(38,404,817) = ( 38 × 404 × 817 ) / 38

LCM(38,404,817) = 12542584 / 38

LCM(38,404,817) = 330068


Lets's calculate GCF of 559,372,689

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 330068/1

Therefore the LCM of Fractions 38/559,404/372,817/689 is 330068

Greatest Common Factor of 559,372,689 By Matching Biggest Common Factor Method

Greatest Common Factor of 559,372,689 By Matching Biggest Common Factor Method

Factors of 559

List of positive integer factors of 559 that divides 559 without a remainder.

1,13,43,559

Factors of 372

List of positive integer factors of 372 that divides 372 without a remainder.

1,2,3,4,6,12,31,62,93,124,186,372

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Greatest Common Factor

We found the factors 559,372,689 . The biggest common factor number is the GCF number.
So the greatest common factor 559,372,689 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 38/559, 404/372, 817/689

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 38/559, 404/372, 817/689?

Answer: LCM of Numerators as per given numbers 38/559, 404/372, 817/689 is

LCM of Numerators i.e. for 38,404,817 is 330068

GCF of denominators i.e. for 559,372,689 is 1.

Thus, LCM of Fractions is 330068.Finally, LCM of Fractions for 38/559, 404/372, 817/689 is 330068.