Least Common Multiple of 19/798, 23/849, 163/335

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 19/798, 23/849, 163/335 quickly i.e. 71231 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/798, 23/849, 163/335 is 71231.

LCM(19/798, 23/849, 163/335) = 71231

LCM of 19/798, 23/849, 163/335

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 19/798,23/849,163/335

Given numbers are 19/798,23/849,163/335

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 19,23,163

Least Common Multiple of Numerators i.e. LCM of 19,23,163 is 71231.

GCF of Denominators means GCF of 798,849,335 as per the given fractions.

GCF of 798,849,335 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,23,163

LCM of Fractions 19/798,23/849,163/335 is 71231

Given numbers has no common factors except 1. So, there LCM is their product i.e 71231

Least Common Multiple of 19,23,163 with GCF Formula

Least Common Multiple of 19,23,163 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 19,23,163 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,23,163) = 1

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

GCF(19,23,163) x common factors =1 x 1 = 1

LCM(19,23,163) = ( 19 × 23 × 163 ) / 1

LCM(19,23,163) = 71231 / 1

LCM(19,23,163) = 71231


Lets's calculate GCF of 798,849,335

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71231/1

Therefore the LCM of Fractions 19/798,23/849,163/335 is 71231

Greatest Common Factor of 798,849,335 By Matching Biggest Common Factor Method

Greatest Common Factor of 798,849,335 By Matching Biggest Common Factor Method

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Factors of 335

List of positive integer factors of 335 that divides 335 without a remainder.

1,5,67,335

Greatest Common Factor

We found the factors 798,849,335 . The biggest common factor number is the GCF number.
So the greatest common factor 798,849,335 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 19/798, 23/849, 163/335

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 19/798, 23/849, 163/335?

Answer: LCM of Numerators as per given numbers 19/798, 23/849, 163/335 is

LCM of Numerators i.e. for 19,23,163 is 71231

GCF of denominators i.e. for 798,849,335 is 1.

Thus, LCM of Fractions is 71231.Finally, LCM of Fractions for 19/798, 23/849, 163/335 is 71231.