Least Common Multiple of 33/168, 497/130, 717/170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/168, 497/130, 717/170 quickly i.e. 3919839/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/168, 497/130, 717/170 is 3919839/2.

LCM(33/168, 497/130, 717/170) = 3919839/2

LCM of 33/168, 497/130, 717/170

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 33/168,497/130,717/170

Given numbers are 33/168,497/130,717/170

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 33,497,717

Least Common Multiple of Numerators i.e. LCM of 33,497,717 is 3919839.

GCF of Denominators means GCF of 168,130,170 as per the given fractions.

GCF of 168,130,170 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,497,717

LCM of Fractions 33/168,497/130,717/170 is 3919839/2

3 33, 497, 717
11, 497, 239

∴ So the LCM of the given numbers is 3 x 11 x 497 x 239 = 3919839

Least Common Multiple of 33,497,717 with GCF Formula

Least Common Multiple of 33,497,717 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 33,497,717 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,497,717) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(33,497,717) x common factors =1 x 3 = 3

LCM(33,497,717) = ( 33 × 497 × 717 ) / 3

LCM(33,497,717) = 11759517 / 3

LCM(33,497,717) = 3919839


Lets's calculate GCF of 168,130,170

2 168, 130, 170
84, 65, 85

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3919839/2

Therefore the LCM of Fractions 33/168,497/130,717/170 is 3919839/2

Greatest Common Factor of 168,130,170 By Matching Biggest Common Factor Method

Greatest Common Factor of 168,130,170 By Matching Biggest Common Factor Method

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Greatest Common Factor

We found the factors 168,130,170 . The biggest common factor number is the GCF number.
So the greatest common factor 168,130,170 is 2.


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 33/168, 497/130, 717/170

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 33/168, 497/130, 717/170?

Answer: LCM of Numerators as per given numbers 33/168, 497/130, 717/170 is

LCM of Numerators i.e. for 33,497,717 is 3919839

GCF of denominators i.e. for 168,130,170 is 2.

Thus, LCM of Fractions is 3919839/2.Finally, LCM of Fractions for 33/168, 497/130, 717/170 is 3919839/2.