Least Common Multiple of 19/492, 529/636, 942/817

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/492, 529/636, 942/817 quickly i.e. 9468042 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/492, 529/636, 942/817 is 9468042.

LCM(19/492, 529/636, 942/817) = 9468042

LCM of 19/492, 529/636, 942/817

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 19/492,529/636,942/817

Given numbers are 19/492,529/636,942/817

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 19,529,942

Least Common Multiple of Numerators i.e. LCM of 19,529,942 is 9468042.

GCF of Denominators means GCF of 492,636,817 as per the given fractions.

GCF of 492,636,817 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,529,942

LCM of Fractions 19/492,529/636,942/817 is 9468042

Given numbers has no common factors except 1. So, there LCM is their product i.e 9468042

Least Common Multiple of 19,529,942 with GCF Formula

Least Common Multiple of 19,529,942 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 19,529,942 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,529,942) = 1

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

GCF(19,529,942) x common factors =1 x 1 = 1

LCM(19,529,942) = ( 19 × 529 × 942 ) / 1

LCM(19,529,942) = 9468042 / 1

LCM(19,529,942) = 9468042


Lets's calculate GCF of 492,636,817

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9468042/1

Therefore the LCM of Fractions 19/492,529/636,942/817 is 9468042

Greatest Common Factor of 492,636,817 By Matching Biggest Common Factor Method

Greatest Common Factor of 492,636,817 By Matching Biggest Common Factor Method

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Factors of 636

List of positive integer factors of 636 that divides 636 without a remainder.

1,2,3,4,6,12,53,106,159,212,318,636

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

Greatest Common Factor

We found the factors 492,636,817 . The biggest common factor number is the GCF number.
So the greatest common factor 492,636,817 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 19/492, 529/636, 942/817

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 19/492, 529/636, 942/817?

Answer: LCM of Numerators as per given numbers 19/492, 529/636, 942/817 is

LCM of Numerators i.e. for 19,529,942 is 9468042

GCF of denominators i.e. for 492,636,817 is 1.

Thus, LCM of Fractions is 9468042.Finally, LCM of Fractions for 19/492, 529/636, 942/817 is 9468042.