Least Common Multiple of 74, 87, 288

Q: How to Find the LCM of 74, 87, 288 ?

Least Common Multiple of 74, 87, 288 = 309024 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(74, 87, 288) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 29 x 37 = 309024.

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 74, 87, 288 i.e. 309024 smallest integer divisible by all numbers.

Least common multiple (LCM) of 74, 87, 288 is 309024.

LCM(74, 87, 288) = 309024

LCM of 74, 87, 288

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

Least Common Multiple of 74, 87, 288 by common division method
Least Common Multiple of 74, 87, 288 with GCF Formula

Least Common Multiple of 74,87,288

Least Common Multiple (LCM) of 74,87,288 is 309024

2	74, 87, 288
3	37, 87, 144
	37, 29, 48

∴ So the LCM of the given numbers is 2 x 3 x 37 x 29 x 48 = 309024

Least Common Multiple of 74,87,288 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 74,87,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,87,288) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(74,87,288) x common factors =1 x 6 = 6

LCM(74,87,288) = ( 74 × 87 × 288 ) / 6

LCM(74,87,288) = 1854144 / 6

LCM(74,87,288) = 309024

∴ Least Common Multiple of 74,87,288 is 309024

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 74, 87, 288

1. What is the LCM of 74, 87, 288?

Answer: LCM of 74, 87, 288 is 309024.

2. What are the Factors of 309024?

Answer: Factors of 309024 are . There are integers that are factors of 309024

3. How to Find the LCM of 74, 87, 288 ?

Least Common Multiple of 74, 87, 288.

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(74, 87, 288) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 29 x 37 = 309024.