Least Common Multiple of 825/134, 8322/7536

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 825/134, 8322/7536 quickly i.e. 1144275 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 825/134, 8322/7536 is 1144275.

LCM(825/134, 8322/7536) = 1144275

LCM of 825/134, 8322/7536

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 825/134,8322/7536

Given numbers are 825/134,8322/7536

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 825,8322

Least Common Multiple of Numerators i.e. LCM of 825,8322 is 2288550.

GCF of Denominators means GCF of 134,7536 as per the given fractions.

GCF of 134,7536 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 825,8322

LCM of Fractions 825/134,8322/7536 is 1144275

3 825, 8322
275, 2774

∴ So the LCM of the given numbers is 3 x 275 x 2774 = 2288550

Least Common Multiple of 825,8322 with GCF Formula

Least Common Multiple of 825,8322 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 825,8322 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(825,8322) = 3

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

GCF(825,8322) x common factors =3 x 1 = 3

LCM(825,8322) = ( 825 × 8322 ) / 3

LCM(825,8322) = 6865650 / 3

LCM(825,8322) = 2288550


Lets's calculate GCF of 134,7536

2 134, 7536
67, 3768

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2288550/2

Therefore the LCM of Fractions 825/134,8322/7536 is 1144275

Greatest Common Factor of 134,7536 By Matching Biggest Common Factor Method

Greatest Common Factor of 134,7536 By Matching Biggest Common Factor Method

Factors of 134

List of positive integer factors of 134 that divides 134 without a remainder.

1,2,67,134

Factors of 7536

List of positive integer factors of 7536 that divides 7536 without a remainder.

1,2,3,4,6,8,12,16,24,48,157,314,471,628,942,1256,1884,2512,3768,7536

Greatest Common Factor

We found the factors 134,7536 . The biggest common factor number is the GCF number.
So the greatest common factor 134,7536 is 2.


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 825/134, 8322/7536

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 825/134, 8322/7536?

Answer: LCM of Numerators as per given numbers 825/134, 8322/7536 is

LCM of Numerators i.e. for 825,8322 is 2288550

GCF of denominators i.e. for 134,7536 is 2.

Thus, LCM of Fractions is 1144275.Finally, LCM of Fractions for 825/134, 8322/7536 is 1144275.