Least Common Multiple of 10/68, 13/609, 999/405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/68, 13/609, 999/405 quickly i.e. 129870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/68, 13/609, 999/405 is 129870.

LCM(10/68, 13/609, 999/405) = 129870

LCM of 10/68, 13/609, 999/405

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 10/68,13/609,999/405

Given numbers are 10/68,13/609,999/405

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 10,13,999

Least Common Multiple of Numerators i.e. LCM of 10,13,999 is 129870.

GCF of Denominators means GCF of 68,609,405 as per the given fractions.

GCF of 68,609,405 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,13,999

LCM of Fractions 10/68,13/609,999/405 is 129870

Given numbers has no common factors except 1. So, there LCM is their product i.e 129870

Least Common Multiple of 10,13,999 with GCF Formula

Least Common Multiple of 10,13,999 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 10,13,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,13,999) = 1

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

GCF(10,13,999) x common factors =1 x 1 = 1

LCM(10,13,999) = ( 10 × 13 × 999 ) / 1

LCM(10,13,999) = 129870 / 1

LCM(10,13,999) = 129870


Lets's calculate GCF of 68,609,405

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 129870/1

Therefore the LCM of Fractions 10/68,13/609,999/405 is 129870

Greatest Common Factor of 68,609,405 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,609,405 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Greatest Common Factor

We found the factors 68,609,405 . The biggest common factor number is the GCF number.
So the greatest common factor 68,609,405 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 10/68, 13/609, 999/405

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 10/68, 13/609, 999/405?

Answer: LCM of Numerators as per given numbers 10/68, 13/609, 999/405 is

LCM of Numerators i.e. for 10,13,999 is 129870

GCF of denominators i.e. for 68,609,405 is 1.

Thus, LCM of Fractions is 129870.Finally, LCM of Fractions for 10/68, 13/609, 999/405 is 129870.