Least Common Multiple of 18, 30, 83, 345

Q: How to Find the LCM of 18, 30, 83, 345 ?

Least Common Multiple of 18, 30, 83, 345 = 171810 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, 30, 83, 345) = 2 x 3 x 3 x 5 x 23 x 83 = 171810.

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, 30, 83, 345 i.e. 171810 smallest integer divisible by all numbers.

Least common multiple (LCM) of 18, 30, 83, 345 is 171810.

LCM(18, 30, 83, 345) = 171810

LCM of 18, 30, 83, 345

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

Least Common Multiple of 18, 30, 83, 345 by common division method
Least Common Multiple of 18, 30, 83, 345 with GCF Formula

Least Common Multiple of 18,30,83,345

Least Common Multiple (LCM) of 18,30,83,345 is 171810

2	18, 30, 83, 345
3	9, 15, 83, 345
5	3, 5, 83, 115
	3, 1, 83, 23

∴ So the LCM of the given numbers is 2 x 3 x 5 x 3 x 1 x 83 x 23 = 171810

Least Common Multiple of 18,30,83,345 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 18,30,83,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,30,83,345) = 1

common factors(in case of two or more numbers have common factors) = 90

GCF(18,30,83,345) x common factors =1 x 90 = 90

LCM(18,30,83,345) = ( 18 × 30 × 83 × 345 ) / 90

LCM(18,30,83,345) = 15462900 / 90

LCM(18,30,83,345) = 171810

∴ Least Common Multiple of 18,30,83,345 is 171810

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, 30, 83, 345

1. What is the LCM of 18, 30, 83, 345?

Answer: LCM of 18, 30, 83, 345 is 171810.

2. What are the Factors of 171810?

Answer: Factors of 171810 are . There are integers that are factors of 171810

3. How to Find the LCM of 18, 30, 83, 345 ?

Least Common Multiple of 18, 30, 83, 345.

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, 30, 83, 345) = 2 x 3 x 3 x 5 x 23 x 83 = 171810.