Least Common Multiple of 170/69, 728/66, 366/507

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 170/69, 728/66, 366/507 quickly i.e. 3774680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 170/69, 728/66, 366/507 is 3774680.

LCM(170/69, 728/66, 366/507) = 3774680

LCM of 170/69, 728/66, 366/507

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 170/69,728/66,366/507

Given numbers are 170/69,728/66,366/507

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 170,728,366

Least Common Multiple of Numerators i.e. LCM of 170,728,366 is 11324040.

GCF of Denominators means GCF of 69,66,507 as per the given fractions.

GCF of 69,66,507 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 170,728,366

LCM of Fractions 170/69,728/66,366/507 is 3774680

2 170, 728, 366
85, 364, 183

∴ So the LCM of the given numbers is 2 x 85 x 364 x 183 = 11324040

Least Common Multiple of 170,728,366 with GCF Formula

Least Common Multiple of 170,728,366 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 170,728,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(170,728,366) = 2

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

GCF(170,728,366) x common factors =2 x 2 = 4

LCM(170,728,366) = ( 170 × 728 × 366 ) / 4

LCM(170,728,366) = 45296160 / 4

LCM(170,728,366) = 11324040


Lets's calculate GCF of 69,66,507

3 69, 66, 507
23, 22, 169

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11324040/3

Therefore the LCM of Fractions 170/69,728/66,366/507 is 3774680

Greatest Common Factor of 69,66,507 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,66,507 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Greatest Common Factor

We found the factors 69,66,507 . The biggest common factor number is the GCF number.
So the greatest common factor 69,66,507 is 3.


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 170/69, 728/66, 366/507

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 170/69, 728/66, 366/507?

Answer: LCM of Numerators as per given numbers 170/69, 728/66, 366/507 is

LCM of Numerators i.e. for 170,728,366 is 11324040

GCF of denominators i.e. for 69,66,507 is 3.

Thus, LCM of Fractions is 3774680.Finally, LCM of Fractions for 170/69, 728/66, 366/507 is 3774680.