Least Common Multiple of 45, 19, 15, 423

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 45, 19, 15, 423 i.e. 40185 smallest integer divisible by all numbers.

Least common multiple (LCM) of 45, 19, 15, 423 is 40185.

LCM(45, 19, 15, 423) = 40185

LCM of 45, 19, 15, 423

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

LCM of:

Least Common Multiple of 45,19,15,423

Least Common Multiple (LCM) of 45,19,15,423 is 40185

3 45, 19, 15, 423
3 15, 19, 5, 141
5 5, 19, 5, 47
1, 19, 1, 47

∴ So the LCM of the given numbers is 3 x 3 x 5 x 1 x 19 x 1 x 47 = 40185

Least Common Multiple of 45,19,15,423 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 45,19,15,423 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,19,15,423) = 1

common factors(in case of two or more numbers have common factors) = 135

GCF(45,19,15,423) x common factors =1 x 135 = 135

LCM(45,19,15,423) = ( 45 × 19 × 15 × 423 ) / 135

LCM(45,19,15,423) = 5424975 / 135

LCM(45,19,15,423) = 40185

∴ Least Common Multiple of 45,19,15,423 is 40185

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 45, 19, 15, 423

1. What is the LCM of 45, 19, 15, 423?

Answer: LCM of 45, 19, 15, 423 is 40185.

2. What are the Factors of 40185?

Answer: Factors of 40185 are . There are integers that are factors of 40185

3. How to Find the LCM of 45, 19, 15, 423 ?

Least Common Multiple of 45, 19, 15, 423.

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(45, 19, 15, 423) = 3 x 3 x 5 x 19 x 47 = 40185.