Least Common Multiple of 67/164, 34/309, 506/481

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/164, 34/309, 506/481 quickly i.e. 576334 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/164, 34/309, 506/481 is 576334.

LCM(67/164, 34/309, 506/481) = 576334

LCM of 67/164, 34/309, 506/481

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 67/164,34/309,506/481

Given numbers are 67/164,34/309,506/481

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 67,34,506

Least Common Multiple of Numerators i.e. LCM of 67,34,506 is 576334.

GCF of Denominators means GCF of 164,309,481 as per the given fractions.

GCF of 164,309,481 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,34,506

LCM of Fractions 67/164,34/309,506/481 is 576334

2 67, 34, 506
67, 17, 253

∴ So the LCM of the given numbers is 2 x 67 x 17 x 253 = 576334

Least Common Multiple of 67,34,506 with GCF Formula

Least Common Multiple of 67,34,506 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 67,34,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,34,506) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(67,34,506) x common factors =1 x 2 = 2

LCM(67,34,506) = ( 67 × 34 × 506 ) / 2

LCM(67,34,506) = 1152668 / 2

LCM(67,34,506) = 576334


Lets's calculate GCF of 164,309,481

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 576334/1

Therefore the LCM of Fractions 67/164,34/309,506/481 is 576334

Greatest Common Factor of 164,309,481 By Matching Biggest Common Factor Method

Greatest Common Factor of 164,309,481 By Matching Biggest Common Factor Method

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Factors of 481

List of positive integer factors of 481 that divides 481 without a remainder.

1,13,37,481

Greatest Common Factor

We found the factors 164,309,481 . The biggest common factor number is the GCF number.
So the greatest common factor 164,309,481 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 67/164, 34/309, 506/481

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 67/164, 34/309, 506/481?

Answer: LCM of Numerators as per given numbers 67/164, 34/309, 506/481 is

LCM of Numerators i.e. for 67,34,506 is 576334

GCF of denominators i.e. for 164,309,481 is 1.

Thus, LCM of Fractions is 576334.Finally, LCM of Fractions for 67/164, 34/309, 506/481 is 576334.