Least Common Multiple of 30, 23, 80, 667

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 30, 23, 80, 667 i.e. 160080 smallest integer divisible by all numbers.

Least common multiple (LCM) of 30, 23, 80, 667 is 160080.

LCM(30, 23, 80, 667) = 160080

LCM of 30, 23, 80, 667

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

LCM of:

Least Common Multiple of 30,23,80,667

Least Common Multiple (LCM) of 30,23,80,667 is 160080

2 30, 23, 80, 667
5 15, 23, 40, 667
23 3, 23, 8, 667
3, 1, 8, 29

∴ So the LCM of the given numbers is 2 x 5 x 23 x 3 x 1 x 8 x 29 = 160080

Least Common Multiple of 30,23,80,667 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 30,23,80,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,23,80,667) = 1

common factors(in case of two or more numbers have common factors) = 230

GCF(30,23,80,667) x common factors =1 x 230 = 230

LCM(30,23,80,667) = ( 30 × 23 × 80 × 667 ) / 230

LCM(30,23,80,667) = 36818400 / 230

LCM(30,23,80,667) = 160080

∴ Least Common Multiple of 30,23,80,667 is 160080

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 30, 23, 80, 667

1. What is the LCM of 30, 23, 80, 667?

Answer: LCM of 30, 23, 80, 667 is 160080.

2. What are the Factors of 160080?

Answer: Factors of 160080 are . There are integers that are factors of 160080

3. How to Find the LCM of 30, 23, 80, 667 ?

Least Common Multiple of 30, 23, 80, 667.

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(30, 23, 80, 667) = 2 x 2 x 2 x 2 x 3 x 5 x 23 x 29 = 160080.