Least Common Multiple of 415, 168, 360

Q: How to Find the LCM of 415, 168, 360 ?

Least Common Multiple of 415, 168, 360 = 209160 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(415, 168, 360) = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 83 = 209160.

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 415, 168, 360 i.e. 209160 smallest integer divisible by all numbers.

Least common multiple (LCM) of 415, 168, 360 is 209160.

LCM(415, 168, 360) = 209160

LCM of 415, 168, 360

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

Least Common Multiple of 415, 168, 360 by common division method
Least Common Multiple of 415, 168, 360 with GCF Formula

Least Common Multiple of 415,168,360

Least Common Multiple (LCM) of 415,168,360 is 209160

2	415, 168, 360
2	415, 84, 180
2	415, 42, 90
3	415, 21, 45
5	415, 7, 15
	83, 7, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 83 x 7 x 3 = 209160

Least Common Multiple of 415,168,360 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 415,168,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(415,168,360) = 1

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

GCF(415,168,360) x common factors =1 x 120 = 120

LCM(415,168,360) = ( 415 × 168 × 360 ) / 120

LCM(415,168,360) = 25099200 / 120

LCM(415,168,360) = 209160

∴ Least Common Multiple of 415,168,360 is 209160

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 415, 168, 360

1. What is the LCM of 415, 168, 360?

Answer: LCM of 415, 168, 360 is 209160.

2. What are the Factors of 209160?

Answer: Factors of 209160 are . There are integers that are factors of 209160

3. How to Find the LCM of 415, 168, 360 ?

Least Common Multiple of 415, 168, 360.

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(415, 168, 360) = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 83 = 209160.