Least Common Multiple of 17/42, 34/82, 904/543

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/42, 34/82, 904/543 quickly i.e. 15368 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/42, 34/82, 904/543 is 15368.

LCM(17/42, 34/82, 904/543) = 15368

LCM of 17/42, 34/82, 904/543

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 17/42,34/82,904/543

Given numbers are 17/42,34/82,904/543

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 17,34,904

Least Common Multiple of Numerators i.e. LCM of 17,34,904 is 15368.

GCF of Denominators means GCF of 42,82,543 as per the given fractions.

GCF of 42,82,543 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,34,904

LCM of Fractions 17/42,34/82,904/543 is 15368

2 17, 34, 904
17 17, 17, 452
1, 1, 452

∴ So the LCM of the given numbers is 2 x 17 x 1 x 1 x 452 = 15368

Least Common Multiple of 17,34,904 with GCF Formula

Least Common Multiple of 17,34,904 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 17,34,904 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,34,904) = 1

common factors(in case of two or more numbers have common factors) = 34

GCF(17,34,904) x common factors =1 x 34 = 34

LCM(17,34,904) = ( 17 × 34 × 904 ) / 34

LCM(17,34,904) = 522512 / 34

LCM(17,34,904) = 15368


Lets's calculate GCF of 42,82,543

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15368/1

Therefore the LCM of Fractions 17/42,34/82,904/543 is 15368

Greatest Common Factor of 42,82,543 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,82,543 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1,3,181,543

Greatest Common Factor

We found the factors 42,82,543 . The biggest common factor number is the GCF number.
So the greatest common factor 42,82,543 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 17/42, 34/82, 904/543

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 17/42, 34/82, 904/543?

Answer: LCM of Numerators as per given numbers 17/42, 34/82, 904/543 is

LCM of Numerators i.e. for 17,34,904 is 15368

GCF of denominators i.e. for 42,82,543 is 1.

Thus, LCM of Fractions is 15368.Finally, LCM of Fractions for 17/42, 34/82, 904/543 is 15368.