Least Common Multiple of 792/19, 509/8538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 792/19, 509/8538 quickly i.e. 403128 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 792/19, 509/8538 is 403128.

LCM(792/19, 509/8538) = 403128

LCM of 792/19, 509/8538

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 792/19,509/8538

Given numbers are 792/19,509/8538

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 792,509

Least Common Multiple of Numerators i.e. LCM of 792,509 is 403128.

GCF of Denominators means GCF of 19,8538 as per the given fractions.

GCF of 19,8538 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 792,509

LCM of Fractions 792/19,509/8538 is 403128

Given numbers has no common factors except 1. So, there LCM is their product i.e 403128

Least Common Multiple of 792,509 with GCF Formula

Least Common Multiple of 792,509 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 792,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(792,509) = 1

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

GCF(792,509) x common factors =1 x 1 = 1

LCM(792,509) = ( 792 × 509 ) / 1

LCM(792,509) = 403128 / 1

LCM(792,509) = 403128


Lets's calculate GCF of 19,8538

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 403128/1

Therefore the LCM of Fractions 792/19,509/8538 is 403128

Greatest Common Factor of 19,8538 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,8538 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 8538

List of positive integer factors of 8538 that divides 8538 without a remainder.

1,2,3,6,1423,2846,4269,8538

Greatest Common Factor

We found the factors 19,8538 . The biggest common factor number is the GCF number.
So the greatest common factor 19,8538 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 792/19, 509/8538

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 792/19, 509/8538?

Answer: LCM of Numerators as per given numbers 792/19, 509/8538 is

LCM of Numerators i.e. for 792,509 is 403128

GCF of denominators i.e. for 19,8538 is 1.

Thus, LCM of Fractions is 403128.Finally, LCM of Fractions for 792/19, 509/8538 is 403128.