Least Common Multiple of 786/992, 1824/531

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 786/992, 1824/531 quickly i.e. 238944 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 786/992, 1824/531 is 238944.

LCM(786/992, 1824/531) = 238944

LCM of 786/992, 1824/531

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 786/992,1824/531

Given numbers are 786/992,1824/531

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 786,1824

Least Common Multiple of Numerators i.e. LCM of 786,1824 is 238944.

GCF of Denominators means GCF of 992,531 as per the given fractions.

GCF of 992,531 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 786,1824

LCM of Fractions 786/992,1824/531 is 238944

2 786, 1824
3 393, 912
131, 304

∴ So the LCM of the given numbers is 2 x 3 x 131 x 304 = 238944

Least Common Multiple of 786,1824 with GCF Formula

Least Common Multiple of 786,1824 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 786,1824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(786,1824) = 6

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

GCF(786,1824) x common factors =6 x 1 = 6

LCM(786,1824) = ( 786 × 1824 ) / 6

LCM(786,1824) = 1433664 / 6

LCM(786,1824) = 238944


Lets's calculate GCF of 992,531

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 238944/1

Therefore the LCM of Fractions 786/992,1824/531 is 238944

Greatest Common Factor of 992,531 By Matching Biggest Common Factor Method

Greatest Common Factor of 992,531 By Matching Biggest Common Factor Method

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 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Greatest Common Factor

We found the factors 992,531 . The biggest common factor number is the GCF number.
So the greatest common factor 992,531 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 786/992, 1824/531

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 786/992, 1824/531?

Answer: LCM of Numerators as per given numbers 786/992, 1824/531 is

LCM of Numerators i.e. for 786,1824 is 238944

GCF of denominators i.e. for 992,531 is 1.

Thus, LCM of Fractions is 238944.Finally, LCM of Fractions for 786/992, 1824/531 is 238944.