Least Common Multiple of 17/493, 1187/3196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/493, 1187/3196 quickly i.e. 1187 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/493, 1187/3196 is 1187.

LCM(17/493, 1187/3196) = 1187

LCM of 17/493, 1187/3196

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 17/493,1187/3196

Given numbers are 17/493,1187/3196

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 17,1187

Least Common Multiple of Numerators i.e. LCM of 17,1187 is 20179.

GCF of Denominators means GCF of 493,3196 as per the given fractions.

GCF of 493,3196 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,1187

LCM of Fractions 17/493,1187/3196 is 1187

Given numbers has no common factors except 1. So, there LCM is their product i.e 20179

Least Common Multiple of 17,1187 with GCF Formula

Least Common Multiple of 17,1187 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 17,1187 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,1187) = 1

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

GCF(17,1187) x common factors =1 x 1 = 1

LCM(17,1187) = ( 17 × 1187 ) / 1

LCM(17,1187) = 20179 / 1

LCM(17,1187) = 20179


Lets's calculate GCF of 493,3196

17 493, 3196
29, 188

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20179/17

Therefore the LCM of Fractions 17/493,1187/3196 is 1187

Greatest Common Factor of 493,3196 By Matching Biggest Common Factor Method

Greatest Common Factor of 493,3196 By Matching Biggest Common Factor Method

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Factors of 3196

List of positive integer factors of 3196 that divides 3196 without a remainder.

1,2,4,17,34,47,68,94,188,799,1598,3196

Greatest Common Factor

We found the factors 493,3196 . The biggest common factor number is the GCF number.
So the greatest common factor 493,3196 is 17.


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 17/493, 1187/3196

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 17/493, 1187/3196?

Answer: LCM of Numerators as per given numbers 17/493, 1187/3196 is

LCM of Numerators i.e. for 17,1187 is 20179

GCF of denominators i.e. for 493,3196 is 17.

Thus, LCM of Fractions is 1187.Finally, LCM of Fractions for 17/493, 1187/3196 is 1187.