Least Common Multiple of 578, 289, 378

Q: How to Find the LCM of 578, 289, 378 ?

Least Common Multiple of 578, 289, 378 = 109242 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(578, 289, 378) = 2 x 3 x 3 x 3 x 7 x 17 x 17 = 109242.

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 578, 289, 378 i.e. 109242 smallest integer divisible by all numbers.

Least common multiple (LCM) of 578, 289, 378 is 109242.

LCM(578, 289, 378) = 109242

LCM of 578, 289, 378

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

Least Common Multiple of 578, 289, 378 by common division method
Least Common Multiple of 578, 289, 378 with GCF Formula

Least Common Multiple of 578,289,378

Least Common Multiple (LCM) of 578,289,378 is 109242

2	578, 289, 378
17	289, 289, 189
17	17, 17, 189
	1, 1, 189

∴ So the LCM of the given numbers is 2 x 17 x 17 x 1 x 1 x 189 = 109242

Least Common Multiple of 578,289,378 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 578,289,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(578,289,378) = 1

common factors(in case of two or more numbers have common factors) = 578

GCF(578,289,378) x common factors =1 x 578 = 578

LCM(578,289,378) = ( 578 × 289 × 378 ) / 578

LCM(578,289,378) = 63141876 / 578

LCM(578,289,378) = 109242

∴ Least Common Multiple of 578,289,378 is 109242

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 578, 289, 378

1. What is the LCM of 578, 289, 378?

Answer: LCM of 578, 289, 378 is 109242.

2. What are the Factors of 109242?

Answer: Factors of 109242 are . There are integers that are factors of 109242

3. How to Find the LCM of 578, 289, 378 ?

Least Common Multiple of 578, 289, 378.

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(578, 289, 378) = 2 x 3 x 3 x 3 x 7 x 17 x 17 = 109242.