Least Common Multiple of 23, 69, 80, 68, 586

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 23, 69, 80, 68, 586 i.e. 27495120 smallest integer divisible by all numbers.

Least common multiple (LCM) of 23, 69, 80, 68, 586 is 27495120.

LCM(23, 69, 80, 68, 586) = 27495120

LCM of 23, 69, 80, 68, 586

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

LCM of:

Least Common Multiple of 23,69,80,68,586

Least Common Multiple (LCM) of 23,69,80,68,586 is 27495120

2 23, 69, 80, 68, 586
2 23, 69, 40, 34, 293
23 23, 69, 20, 17, 293
1, 3, 20, 17, 293

∴ So the LCM of the given numbers is 2 x 2 x 23 x 1 x 3 x 20 x 17 x 293 = 27495120

Least Common Multiple of 23,69,80,68,586 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 23,69,80,68,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,69,80,68,586) = 1

common factors(in case of two or more numbers have common factors) = 184

GCF(23,69,80,68,586) x common factors =1 x 184 = 184

LCM(23,69,80,68,586) = ( 23 × 69 × 80 × 68 × 586 ) / 184

LCM(23,69,80,68,586) = 5059102080 / 184

LCM(23,69,80,68,586) = 27495120

∴ Least Common Multiple of 23,69,80,68,586 is 27495120

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 23, 69, 80, 68, 586

1. What is the LCM of 23, 69, 80, 68, 586?

Answer: LCM of 23, 69, 80, 68, 586 is 27495120.

2. What are the Factors of 27495120?

Answer: Factors of 27495120 are . There are integers that are factors of 27495120

3. How to Find the LCM of 23, 69, 80, 68, 586 ?

Least Common Multiple of 23, 69, 80, 68, 586.

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(23, 69, 80, 68, 586) = 2 x 2 x 2 x 2 x 3 x 5 x 17 x 23 x 293 = 27495120.