Least Common Multiple of 17/234, 45/831, 885/183

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/234, 45/831, 885/183 quickly i.e. 15045 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/234, 45/831, 885/183 is 15045.

LCM(17/234, 45/831, 885/183) = 15045

LCM of 17/234, 45/831, 885/183

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 17/234,45/831,885/183

Given numbers are 17/234,45/831,885/183

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 17,45,885

Least Common Multiple of Numerators i.e. LCM of 17,45,885 is 45135.

GCF of Denominators means GCF of 234,831,183 as per the given fractions.

GCF of 234,831,183 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,45,885

LCM of Fractions 17/234,45/831,885/183 is 15045

3 17, 45, 885
5 17, 15, 295
17, 3, 59

∴ So the LCM of the given numbers is 3 x 5 x 17 x 3 x 59 = 45135

Least Common Multiple of 17,45,885 with GCF Formula

Least Common Multiple of 17,45,885 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 17,45,885 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,45,885) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(17,45,885) x common factors =1 x 15 = 15

LCM(17,45,885) = ( 17 × 45 × 885 ) / 15

LCM(17,45,885) = 677025 / 15

LCM(17,45,885) = 45135


Lets's calculate GCF of 234,831,183

3 234, 831, 183
78, 277, 61

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45135/3

Therefore the LCM of Fractions 17/234,45/831,885/183 is 15045

Greatest Common Factor of 234,831,183 By Matching Biggest Common Factor Method

Greatest Common Factor of 234,831,183 By Matching Biggest Common Factor Method

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Factors of 831

List of positive integer factors of 831 that divides 831 without a remainder.

1,3,277,831

Factors of 183

List of positive integer factors of 183 that divides 183 without a remainder.

1,3,61,183

Greatest Common Factor

We found the factors 234,831,183 . The biggest common factor number is the GCF number.
So the greatest common factor 234,831,183 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 17/234, 45/831, 885/183

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 17/234, 45/831, 885/183?

Answer: LCM of Numerators as per given numbers 17/234, 45/831, 885/183 is

LCM of Numerators i.e. for 17,45,885 is 45135

GCF of denominators i.e. for 234,831,183 is 3.

Thus, LCM of Fractions is 15045.Finally, LCM of Fractions for 17/234, 45/831, 885/183 is 15045.