Least Common Multiple of 18, 48, 40, 395

Q: How to Find the LCM of 18, 48, 40, 395 ?

Least Common Multiple of 18, 48, 40, 395 = 56880 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(18, 48, 40, 395) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 79 = 56880.

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 18, 48, 40, 395 i.e. 56880 smallest integer divisible by all numbers.

Least common multiple (LCM) of 18, 48, 40, 395 is 56880.

LCM(18, 48, 40, 395) = 56880

LCM of 18, 48, 40, 395

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

Least Common Multiple of 18, 48, 40, 395 by common division method
Least Common Multiple of 18, 48, 40, 395 with GCF Formula

Least Common Multiple of 18,48,40,395

Least Common Multiple (LCM) of 18,48,40,395 is 56880

2	18, 48, 40, 395
2	9, 24, 20, 395
2	9, 12, 10, 395
3	9, 6, 5, 395
5	3, 2, 5, 395
	3, 2, 1, 79

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 3 x 2 x 1 x 79 = 56880

Least Common Multiple of 18,48,40,395 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 18,48,40,395 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,48,40,395) = 1

common factors(in case of two or more numbers have common factors) = 240

GCF(18,48,40,395) x common factors =1 x 240 = 240

LCM(18,48,40,395) = ( 18 × 48 × 40 × 395 ) / 240

LCM(18,48,40,395) = 13651200 / 240

LCM(18,48,40,395) = 56880

∴ Least Common Multiple of 18,48,40,395 is 56880

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 18, 48, 40, 395

1. What is the LCM of 18, 48, 40, 395?

Answer: LCM of 18, 48, 40, 395 is 56880.

2. What are the Factors of 56880?

Answer: Factors of 56880 are . There are integers that are factors of 56880

3. How to Find the LCM of 18, 48, 40, 395 ?

Least Common Multiple of 18, 48, 40, 395.

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(18, 48, 40, 395) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 79 = 56880.