Least Common Multiple of 7881/992, 6499/9334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7881/992, 6499/9334 quickly i.e. 51218619/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7881/992, 6499/9334 is 51218619/2.

LCM(7881/992, 6499/9334) = 51218619/2

LCM of 7881/992, 6499/9334

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 7881/992,6499/9334

Given numbers are 7881/992,6499/9334

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 7881,6499

Least Common Multiple of Numerators i.e. LCM of 7881,6499 is 51218619.

GCF of Denominators means GCF of 992,9334 as per the given fractions.

GCF of 992,9334 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7881,6499

LCM of Fractions 7881/992,6499/9334 is 51218619/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 51218619

Least Common Multiple of 7881,6499 with GCF Formula

Least Common Multiple of 7881,6499 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 7881,6499 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7881,6499) = 1

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

GCF(7881,6499) x common factors =1 x 1 = 1

LCM(7881,6499) = ( 7881 × 6499 ) / 1

LCM(7881,6499) = 51218619 / 1

LCM(7881,6499) = 51218619


Lets's calculate GCF of 992,9334

2 992, 9334
496, 4667

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51218619/2

Therefore the LCM of Fractions 7881/992,6499/9334 is 51218619/2

Greatest Common Factor of 992,9334 By Matching Biggest Common Factor Method

Greatest Common Factor of 992,9334 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 9334

List of positive integer factors of 9334 that divides 9334 without a remainder.

1,2,13,26,359,718,4667,9334

Greatest Common Factor

We found the factors 992,9334 . The biggest common factor number is the GCF number.
So the greatest common factor 992,9334 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7881/992, 6499/9334

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 7881/992, 6499/9334?

Answer: LCM of Numerators as per given numbers 7881/992, 6499/9334 is

LCM of Numerators i.e. for 7881,6499 is 51218619

GCF of denominators i.e. for 992,9334 is 2.

Thus, LCM of Fractions is 51218619/2.Finally, LCM of Fractions for 7881/992, 6499/9334 is 51218619/2.