Least Common Multiple of 114, 216, 171

Q: How to Find the LCM of 114, 216, 171 ?

Least Common Multiple of 114, 216, 171 = 4104 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(114, 216, 171) = 2 x 2 x 2 x 3 x 3 x 3 x 19 = 4104.

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 114, 216, 171 i.e. 4104 smallest integer divisible by all numbers.

Least common multiple (LCM) of 114, 216, 171 is 4104.

LCM(114, 216, 171) = 4104

LCM of 114, 216, 171

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

Least Common Multiple of 114, 216, 171 by common division method
Least Common Multiple of 114, 216, 171 with GCF Formula

Least Common Multiple of 114,216,171

Least Common Multiple (LCM) of 114,216,171 is 4104

2	114, 216, 171
3	57, 108, 171
3	19, 36, 57
19	19, 12, 19
	1, 12, 1

∴ So the LCM of the given numbers is 2 x 3 x 3 x 19 x 1 x 12 x 1 = 4104

Least Common Multiple of 114,216,171 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 114,216,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(114,216,171) = 3

common factors(in case of two or more numbers have common factors) = 342

GCF(114,216,171) x common factors =3 x 342 = 1026

LCM(114,216,171) = ( 114 × 216 × 171 ) / 1026

LCM(114,216,171) = 4210704 / 1026

LCM(114,216,171) = 4104

∴ Least Common Multiple of 114,216,171 is 4104

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 114, 216, 171

1. What is the LCM of 114, 216, 171?

Answer: LCM of 114, 216, 171 is 4104.

2. What are the Factors of 4104?

Answer: Factors of 4104 are . There are integers that are factors of 4104

3. How to Find the LCM of 114, 216, 171 ?

Least Common Multiple of 114, 216, 171.

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(114, 216, 171) = 2 x 2 x 2 x 3 x 3 x 3 x 19 = 4104.