Least Common Multiple of 488/18, 698/7993

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 488/18, 698/7993 quickly i.e. 170312 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 488/18, 698/7993 is 170312.

LCM(488/18, 698/7993) = 170312

LCM of 488/18, 698/7993

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 488/18,698/7993

Given numbers are 488/18,698/7993

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 488,698

Least Common Multiple of Numerators i.e. LCM of 488,698 is 170312.

GCF of Denominators means GCF of 18,7993 as per the given fractions.

GCF of 18,7993 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 488,698

LCM of Fractions 488/18,698/7993 is 170312

2 488, 698
244, 349

∴ So the LCM of the given numbers is 2 x 244 x 349 = 170312

Least Common Multiple of 488,698 with GCF Formula

Least Common Multiple of 488,698 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 488,698 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(488,698) = 2

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

GCF(488,698) x common factors =2 x 1 = 2

LCM(488,698) = ( 488 × 698 ) / 2

LCM(488,698) = 340624 / 2

LCM(488,698) = 170312


Lets's calculate GCF of 18,7993

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 170312/1

Therefore the LCM of Fractions 488/18,698/7993 is 170312

Greatest Common Factor of 18,7993 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,7993 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 7993

List of positive integer factors of 7993 that divides 7993 without a remainder.

1,7993

Greatest Common Factor

We found the factors 18,7993 . The biggest common factor number is the GCF number.
So the greatest common factor 18,7993 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 488/18, 698/7993

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 488/18, 698/7993?

Answer: LCM of Numerators as per given numbers 488/18, 698/7993 is

LCM of Numerators i.e. for 488,698 is 170312

GCF of denominators i.e. for 18,7993 is 1.

Thus, LCM of Fractions is 170312.Finally, LCM of Fractions for 488/18, 698/7993 is 170312.