Least Common Multiple of 538, 540, 825

Q: How to Find the LCM of 538, 540, 825 ?

Least Common Multiple of 538, 540, 825 = 7989300 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(538, 540, 825) = 2 x 2 x 3 x 3 x 3 x 5 x 5 x 11 x 269 = 7989300.

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 538, 540, 825 i.e. 7989300 smallest integer divisible by all numbers.

Least common multiple (LCM) of 538, 540, 825 is 7989300.

LCM(538, 540, 825) = 7989300

LCM of 538, 540, 825

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

Least Common Multiple of 538, 540, 825 by common division method
Least Common Multiple of 538, 540, 825 with GCF Formula

Least Common Multiple of 538,540,825

Least Common Multiple (LCM) of 538,540,825 is 7989300

2	538, 540, 825
3	269, 270, 825
5	269, 90, 275
	269, 18, 55

∴ So the LCM of the given numbers is 2 x 3 x 5 x 269 x 18 x 55 = 7989300

Least Common Multiple of 538,540,825 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 538,540,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(538,540,825) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(538,540,825) x common factors =1 x 30 = 30

LCM(538,540,825) = ( 538 × 540 × 825 ) / 30

LCM(538,540,825) = 239679000 / 30

LCM(538,540,825) = 7989300

∴ Least Common Multiple of 538,540,825 is 7989300

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 538, 540, 825

1. What is the LCM of 538, 540, 825?

Answer: LCM of 538, 540, 825 is 7989300.

2. What are the Factors of 7989300?

Answer: Factors of 7989300 are . There are integers that are factors of 7989300

3. How to Find the LCM of 538, 540, 825 ?

Least Common Multiple of 538, 540, 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(538, 540, 825) = 2 x 2 x 3 x 3 x 3 x 5 x 5 x 11 x 269 = 7989300.