Least Common Multiple of 817/93, 660/28, 903/170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 817/93, 660/28, 903/170 quickly i.e. 3774540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 817/93, 660/28, 903/170 is 3774540.

LCM(817/93, 660/28, 903/170) = 3774540

LCM of 817/93, 660/28, 903/170

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 817/93,660/28,903/170

Given numbers are 817/93,660/28,903/170

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 817,660,903

Least Common Multiple of Numerators i.e. LCM of 817,660,903 is 3774540.

GCF of Denominators means GCF of 93,28,170 as per the given fractions.

GCF of 93,28,170 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 817,660,903

LCM of Fractions 817/93,660/28,903/170 is 3774540

3 817, 660, 903
43 817, 220, 301
19, 220, 7

∴ So the LCM of the given numbers is 3 x 43 x 19 x 220 x 7 = 3774540

Least Common Multiple of 817,660,903 with GCF Formula

Least Common Multiple of 817,660,903 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 817,660,903 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(817,660,903) = 1

common factors(in case of two or more numbers have common factors) = 129

GCF(817,660,903) x common factors =1 x 129 = 129

LCM(817,660,903) = ( 817 × 660 × 903 ) / 129

LCM(817,660,903) = 486915660 / 129

LCM(817,660,903) = 3774540


Lets's calculate GCF of 93,28,170

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3774540/1

Therefore the LCM of Fractions 817/93,660/28,903/170 is 3774540

Greatest Common Factor of 93,28,170 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,28,170 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

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 93,28,170 . The biggest common factor number is the GCF number.
So the greatest common factor 93,28,170 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 817/93, 660/28, 903/170

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 817/93, 660/28, 903/170?

Answer: LCM of Numerators as per given numbers 817/93, 660/28, 903/170 is

LCM of Numerators i.e. for 817,660,903 is 3774540

GCF of denominators i.e. for 93,28,170 is 1.

Thus, LCM of Fractions is 3774540.Finally, LCM of Fractions for 817/93, 660/28, 903/170 is 3774540.