Least Common Multiple of 48, 66, 825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 48, 66, 825 i.e. 13200 smallest integer divisible by all numbers.

Least common multiple (LCM) of 48, 66, 825 is 13200.

LCM(48, 66, 825) = 13200

LCM of 48, 66, 825

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 48,66,825

Least Common Multiple (LCM) of 48,66,825 is 13200

2 48, 66, 825
3 24, 33, 825
11 8, 11, 275
8, 1, 25

∴ So the LCM of the given numbers is 2 x 3 x 11 x 8 x 1 x 25 = 13200

Least Common Multiple of 48,66,825 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 48,66,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,66,825) = 3

common factors(in case of two or more numbers have common factors) = 66

GCF(48,66,825) x common factors =3 x 66 = 198

LCM(48,66,825) = ( 48 × 66 × 825 ) / 198

LCM(48,66,825) = 2613600 / 198

LCM(48,66,825) = 13200

∴ Least Common Multiple of 48,66,825 is 13200

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 48, 66, 825

1. What is the LCM of 48, 66, 825?

Answer: LCM of 48, 66, 825 is 13200.

2. What are the Factors of 13200?

Answer: Factors of 13200 are . There are integers that are factors of 13200

3. How to Find the LCM of 48, 66, 825 ?

Least Common Multiple of 48, 66, 825.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(48, 66, 825) = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 11 = 13200.