Least Common Multiple of 87, 12, 72, 387

Q: How to Find the LCM of 87, 12, 72, 387 ?

Least Common Multiple of 87, 12, 72, 387 = 89784 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(87, 12, 72, 387) = 2 x 2 x 2 x 3 x 3 x 29 x 43 = 89784.

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 87, 12, 72, 387 i.e. 89784 smallest integer divisible by all numbers.

Least common multiple (LCM) of 87, 12, 72, 387 is 89784.

LCM(87, 12, 72, 387) = 89784

LCM of 87, 12, 72, 387

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

Least Common Multiple of 87, 12, 72, 387 by common division method
Least Common Multiple of 87, 12, 72, 387 with GCF Formula

Least Common Multiple of 87,12,72,387

Least Common Multiple (LCM) of 87,12,72,387 is 89784

2	87, 12, 72, 387
2	87, 6, 36, 387
3	87, 3, 18, 387
3	29, 1, 6, 129
	29, 1, 2, 43

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 29 x 1 x 2 x 43 = 89784

Least Common Multiple of 87,12,72,387 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 87,12,72,387 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,12,72,387) = 3

common factors(in case of two or more numbers have common factors) = 108

GCF(87,12,72,387) x common factors =3 x 108 = 324

LCM(87,12,72,387) = ( 87 × 12 × 72 × 387 ) / 324

LCM(87,12,72,387) = 29090016 / 324

LCM(87,12,72,387) = 89784

∴ Least Common Multiple of 87,12,72,387 is 89784

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 87, 12, 72, 387

1. What is the LCM of 87, 12, 72, 387?

Answer: LCM of 87, 12, 72, 387 is 89784.

2. What are the Factors of 89784?

Answer: Factors of 89784 are . There are integers that are factors of 89784

3. How to Find the LCM of 87, 12, 72, 387 ?

Least Common Multiple of 87, 12, 72, 387.

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(87, 12, 72, 387) = 2 x 2 x 2 x 3 x 3 x 29 x 43 = 89784.