Least Common Multiple of 43, 46, 15, 387

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 43, 46, 15, 387 i.e. 89010 smallest integer divisible by all numbers.

Least common multiple (LCM) of 43, 46, 15, 387 is 89010.

LCM(43, 46, 15, 387) = 89010

LCM of 43, 46, 15, 387

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

LCM of:

Least Common Multiple of 43,46,15,387

Least Common Multiple (LCM) of 43,46,15,387 is 89010

3 43, 46, 15, 387
43 43, 46, 5, 129
1, 46, 5, 3

∴ So the LCM of the given numbers is 3 x 43 x 1 x 46 x 5 x 3 = 89010

Least Common Multiple of 43,46,15,387 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 43,46,15,387 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,46,15,387) = 1

common factors(in case of two or more numbers have common factors) = 129

GCF(43,46,15,387) x common factors =1 x 129 = 129

LCM(43,46,15,387) = ( 43 × 46 × 15 × 387 ) / 129

LCM(43,46,15,387) = 11482290 / 129

LCM(43,46,15,387) = 89010

∴ Least Common Multiple of 43,46,15,387 is 89010

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 43, 46, 15, 387

1. What is the LCM of 43, 46, 15, 387?

Answer: LCM of 43, 46, 15, 387 is 89010.

2. What are the Factors of 89010?

Answer: Factors of 89010 are . There are integers that are factors of 89010

3. How to Find the LCM of 43, 46, 15, 387 ?

Least Common Multiple of 43, 46, 15, 387.

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(43, 46, 15, 387) = 2 x 3 x 3 x 5 x 23 x 43 = 89010.