Least Common Multiple of 17/604, 6528/5738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/604, 6528/5738 quickly i.e. 6528/302 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/604, 6528/5738 is 6528/302.

LCM(17/604, 6528/5738) = 6528/302

LCM of 17/604, 6528/5738

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 17/604,6528/5738

Given numbers are 17/604,6528/5738

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 17,6528

Least Common Multiple of Numerators i.e. LCM of 17,6528 is 6528.

GCF of Denominators means GCF of 604,5738 as per the given fractions.

GCF of 604,5738 is 302 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,6528

LCM of Fractions 17/604,6528/5738 is 6528/302

17 17, 6528
1, 384

∴ So the LCM of the given numbers is 17 x 1 x 384 = 6528

Least Common Multiple of 17,6528 with GCF Formula

Least Common Multiple of 17,6528 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 17,6528 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,6528) = 17

common factors(in case of two or more numbers have common factors) = 1

GCF(17,6528) x common factors =17 x 1 = 17

LCM(17,6528) = ( 17 × 6528 ) / 17

LCM(17,6528) = 110976 / 17

LCM(17,6528) = 6528


Lets's calculate GCF of 604,5738

2 604, 5738
151 302, 2869
2, 19

∴ So the GCF of the given numbers is 2 x 151 = 302

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6528/302

Therefore the LCM of Fractions 17/604,6528/5738 is 6528/302

Greatest Common Factor of 604,5738 By Matching Biggest Common Factor Method

Greatest Common Factor of 604,5738 By Matching Biggest Common Factor Method

Factors of 604

List of positive integer factors of 604 that divides 604 without a remainder.

1,2,4,151,302,604

Factors of 5738

List of positive integer factors of 5738 that divides 5738 without a remainder.

1,2,19,38,151,302,2869,5738

Greatest Common Factor

We found the factors 604,5738 . The biggest common factor number is the GCF number.
So the greatest common factor 604,5738 is 302.


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 17/604, 6528/5738

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 17/604, 6528/5738?

Answer: LCM of Numerators as per given numbers 17/604, 6528/5738 is

LCM of Numerators i.e. for 17,6528 is 6528

GCF of denominators i.e. for 604,5738 is 302.

Thus, LCM of Fractions is 6528/302.Finally, LCM of Fractions for 17/604, 6528/5738 is 6528/302.