Least Common Multiple of 15, 69, 90, 648

Q: How to Find the LCM of 15, 69, 90, 648 ?

Least Common Multiple of 15, 69, 90, 648 = 74520 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(15, 69, 90, 648) = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 23 = 74520.

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 15, 69, 90, 648 i.e. 74520 smallest integer divisible by all numbers.

Least common multiple (LCM) of 15, 69, 90, 648 is 74520.

LCM(15, 69, 90, 648) = 74520

LCM of 15, 69, 90, 648

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

Least Common Multiple of 15, 69, 90, 648 by common division method
Least Common Multiple of 15, 69, 90, 648 with GCF Formula

Least Common Multiple of 15,69,90,648

Least Common Multiple (LCM) of 15,69,90,648 is 74520

2	15, 69, 90, 648
3	15, 69, 45, 324
3	5, 23, 15, 108
5	5, 23, 5, 36
	1, 23, 1, 36

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 1 x 23 x 1 x 36 = 74520

Least Common Multiple of 15,69,90,648 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 15,69,90,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,69,90,648) = 3

common factors(in case of two or more numbers have common factors) = 270

GCF(15,69,90,648) x common factors =3 x 270 = 810

LCM(15,69,90,648) = ( 15 × 69 × 90 × 648 ) / 810

LCM(15,69,90,648) = 60361200 / 810

LCM(15,69,90,648) = 74520

∴ Least Common Multiple of 15,69,90,648 is 74520

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 15, 69, 90, 648

1. What is the LCM of 15, 69, 90, 648?

Answer: LCM of 15, 69, 90, 648 is 74520.

2. What are the Factors of 74520?

Answer: Factors of 74520 are . There are integers that are factors of 74520

3. How to Find the LCM of 15, 69, 90, 648 ?

Least Common Multiple of 15, 69, 90, 648.

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(15, 69, 90, 648) = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 23 = 74520.