Least Common Multiple of 17/514, 493/992, 298/399

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/514, 493/992, 298/399 quickly i.e. 146914 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/514, 493/992, 298/399 is 146914.

LCM(17/514, 493/992, 298/399) = 146914

LCM of 17/514, 493/992, 298/399

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 17/514,493/992,298/399

Given numbers are 17/514,493/992,298/399

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 17,493,298

Least Common Multiple of Numerators i.e. LCM of 17,493,298 is 146914.

GCF of Denominators means GCF of 514,992,399 as per the given fractions.

GCF of 514,992,399 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,493,298

LCM of Fractions 17/514,493/992,298/399 is 146914

17 17, 493, 298
1, 29, 298

∴ So the LCM of the given numbers is 17 x 1 x 29 x 298 = 146914

Least Common Multiple of 17,493,298 with GCF Formula

Least Common Multiple of 17,493,298 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 17,493,298 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,493,298) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(17,493,298) x common factors =1 x 17 = 17

LCM(17,493,298) = ( 17 × 493 × 298 ) / 17

LCM(17,493,298) = 2497538 / 17

LCM(17,493,298) = 146914


Lets's calculate GCF of 514,992,399

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 146914/1

Therefore the LCM of Fractions 17/514,493/992,298/399 is 146914

Greatest Common Factor of 514,992,399 By Matching Biggest Common Factor Method

Greatest Common Factor of 514,992,399 By Matching Biggest Common Factor Method

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Factors of 399

List of positive integer factors of 399 that divides 399 without a remainder.

1,3,7,19,21,57,133,399

Greatest Common Factor

We found the factors 514,992,399 . The biggest common factor number is the GCF number.
So the greatest common factor 514,992,399 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 17/514, 493/992, 298/399

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 17/514, 493/992, 298/399?

Answer: LCM of Numerators as per given numbers 17/514, 493/992, 298/399 is

LCM of Numerators i.e. for 17,493,298 is 146914

GCF of denominators i.e. for 514,992,399 is 1.

Thus, LCM of Fractions is 146914.Finally, LCM of Fractions for 17/514, 493/992, 298/399 is 146914.