Least Common Multiple of 819/786, 7968/9960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 819/786, 7968/9960 quickly i.e. 362544 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 819/786, 7968/9960 is 362544.

LCM(819/786, 7968/9960) = 362544

LCM of 819/786, 7968/9960

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 819/786,7968/9960

Given numbers are 819/786,7968/9960

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 819,7968

Least Common Multiple of Numerators i.e. LCM of 819,7968 is 2175264.

GCF of Denominators means GCF of 786,9960 as per the given fractions.

GCF of 786,9960 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 819,7968

LCM of Fractions 819/786,7968/9960 is 362544

3 819, 7968
273, 2656

∴ So the LCM of the given numbers is 3 x 273 x 2656 = 2175264

Least Common Multiple of 819,7968 with GCF Formula

Least Common Multiple of 819,7968 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 819,7968 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(819,7968) = 3

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

GCF(819,7968) x common factors =3 x 1 = 3

LCM(819,7968) = ( 819 × 7968 ) / 3

LCM(819,7968) = 6525792 / 3

LCM(819,7968) = 2175264


Lets's calculate GCF of 786,9960

2 786, 9960
3 393, 4980
131, 1660

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2175264/6

Therefore the LCM of Fractions 819/786,7968/9960 is 362544

Greatest Common Factor of 786,9960 By Matching Biggest Common Factor Method

Greatest Common Factor of 786,9960 By Matching Biggest Common Factor Method

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1,2,3,6,131,262,393,786

Factors of 9960

List of positive integer factors of 9960 that divides 9960 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,83,120,166,249,332,415,498,664,830,996,1245,1660,1992,2490,3320,4980,9960

Greatest Common Factor

We found the factors 786,9960 . The biggest common factor number is the GCF number.
So the greatest common factor 786,9960 is 6.


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 819/786, 7968/9960

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 819/786, 7968/9960?

Answer: LCM of Numerators as per given numbers 819/786, 7968/9960 is

LCM of Numerators i.e. for 819,7968 is 2175264

GCF of denominators i.e. for 786,9960 is 6.

Thus, LCM of Fractions is 362544.Finally, LCM of Fractions for 819/786, 7968/9960 is 362544.