Least Common Multiple of 15, 69, 46, 282

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 15, 69, 46, 282 i.e. 32430 smallest integer divisible by all numbers.

Least common multiple (LCM) of 15, 69, 46, 282 is 32430.

LCM(15, 69, 46, 282) = 32430

LCM of 15, 69, 46, 282

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

LCM of:

Least Common Multiple of 15,69,46,282

Least Common Multiple (LCM) of 15,69,46,282 is 32430

2 15, 69, 46, 282
3 15, 69, 23, 141
23 5, 23, 23, 47
5, 1, 1, 47

∴ So the LCM of the given numbers is 2 x 3 x 23 x 5 x 1 x 1 x 47 = 32430

Least Common Multiple of 15,69,46,282 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 15,69,46,282 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,69,46,282) = 1

common factors(in case of two or more numbers have common factors) = 414

GCF(15,69,46,282) x common factors =1 x 414 = 414

LCM(15,69,46,282) = ( 15 × 69 × 46 × 282 ) / 414

LCM(15,69,46,282) = 13426020 / 414

LCM(15,69,46,282) = 32430

∴ Least Common Multiple of 15,69,46,282 is 32430

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 15, 69, 46, 282

1. What is the LCM of 15, 69, 46, 282?

Answer: LCM of 15, 69, 46, 282 is 32430.

2. What are the Factors of 32430?

Answer: Factors of 32430 are . There are integers that are factors of 32430

3. How to Find the LCM of 15, 69, 46, 282 ?

Least Common Multiple of 15, 69, 46, 282.

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(15, 69, 46, 282) = 2 x 3 x 5 x 23 x 47 = 32430.