Least Common Multiple of 145, 360, 408

Q: How to Find the LCM of 145, 360, 408 ?

Least Common Multiple of 145, 360, 408 = 177480 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(145, 360, 408) = 2 x 2 x 2 x 3 x 3 x 5 x 17 x 29 = 177480.

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 145, 360, 408 i.e. 177480 smallest integer divisible by all numbers.

Least common multiple (LCM) of 145, 360, 408 is 177480.

LCM(145, 360, 408) = 177480

LCM of 145, 360, 408

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

Least Common Multiple of 145, 360, 408 by common division method
Least Common Multiple of 145, 360, 408 with GCF Formula

Least Common Multiple of 145,360,408

Least Common Multiple (LCM) of 145,360,408 is 177480

2	145, 360, 408
2	145, 180, 204
2	145, 90, 102
3	145, 45, 51
5	145, 15, 17
	29, 3, 17

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 29 x 3 x 17 = 177480

Least Common Multiple of 145,360,408 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 145,360,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(145,360,408) = 1

common factors(in case of two or more numbers have common factors) = 120

GCF(145,360,408) x common factors =1 x 120 = 120

LCM(145,360,408) = ( 145 × 360 × 408 ) / 120

LCM(145,360,408) = 21297600 / 120

LCM(145,360,408) = 177480

∴ Least Common Multiple of 145,360,408 is 177480

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 145, 360, 408

1. What is the LCM of 145, 360, 408?

Answer: LCM of 145, 360, 408 is 177480.

2. What are the Factors of 177480?

Answer: Factors of 177480 are . There are integers that are factors of 177480

3. How to Find the LCM of 145, 360, 408 ?

Least Common Multiple of 145, 360, 408.

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(145, 360, 408) = 2 x 2 x 2 x 3 x 3 x 5 x 17 x 29 = 177480.