Least Common Multiple of 34/609, 27/240, 693/506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/609, 27/240, 693/506 quickly i.e. 70686 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/609, 27/240, 693/506 is 70686.

LCM(34/609, 27/240, 693/506) = 70686

LCM of 34/609, 27/240, 693/506

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 34/609,27/240,693/506

Given numbers are 34/609,27/240,693/506

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 34,27,693

Least Common Multiple of Numerators i.e. LCM of 34,27,693 is 70686.

GCF of Denominators means GCF of 609,240,506 as per the given fractions.

GCF of 609,240,506 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,27,693

LCM of Fractions 34/609,27/240,693/506 is 70686

3 34, 27, 693
3 34, 9, 231
34, 3, 77

∴ So the LCM of the given numbers is 3 x 3 x 34 x 3 x 77 = 70686

Least Common Multiple of 34,27,693 with GCF Formula

Least Common Multiple of 34,27,693 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 34,27,693 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,27,693) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(34,27,693) x common factors =1 x 9 = 9

LCM(34,27,693) = ( 34 × 27 × 693 ) / 9

LCM(34,27,693) = 636174 / 9

LCM(34,27,693) = 70686


Lets's calculate GCF of 609,240,506

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70686/1

Therefore the LCM of Fractions 34/609,27/240,693/506 is 70686

Greatest Common Factor of 609,240,506 By Matching Biggest Common Factor Method

Greatest Common Factor of 609,240,506 By Matching Biggest Common Factor Method

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 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Greatest Common Factor

We found the factors 609,240,506 . The biggest common factor number is the GCF number.
So the greatest common factor 609,240,506 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 34/609, 27/240, 693/506

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 34/609, 27/240, 693/506?

Answer: LCM of Numerators as per given numbers 34/609, 27/240, 693/506 is

LCM of Numerators i.e. for 34,27,693 is 70686

GCF of denominators i.e. for 609,240,506 is 1.

Thus, LCM of Fractions is 70686.Finally, LCM of Fractions for 34/609, 27/240, 693/506 is 70686.