Least Common Multiple of 84, 45, 85, 255

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 84, 45, 85, 255 i.e. 21420 smallest integer divisible by all numbers.

Least common multiple (LCM) of 84, 45, 85, 255 is 21420.

LCM(84, 45, 85, 255) = 21420

LCM of 84, 45, 85, 255

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

LCM of:

Least Common Multiple of 84,45,85,255

Least Common Multiple (LCM) of 84,45,85,255 is 21420

3 84, 45, 85, 255
5 28, 15, 85, 85
17 28, 3, 17, 17
28, 3, 1, 1

∴ So the LCM of the given numbers is 3 x 5 x 17 x 28 x 3 x 1 x 1 = 21420

Least Common Multiple of 84,45,85,255 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 84,45,85,255 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,45,85,255) = 1

common factors(in case of two or more numbers have common factors) = 3825

GCF(84,45,85,255) x common factors =1 x 3825 = 3825

LCM(84,45,85,255) = ( 84 × 45 × 85 × 255 ) / 3825

LCM(84,45,85,255) = 81931500 / 3825

LCM(84,45,85,255) = 21420

∴ Least Common Multiple of 84,45,85,255 is 21420

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 84, 45, 85, 255

1. What is the LCM of 84, 45, 85, 255?

Answer: LCM of 84, 45, 85, 255 is 21420.

2. What are the Factors of 21420?

Answer: Factors of 21420 are . There are integers that are factors of 21420

3. How to Find the LCM of 84, 45, 85, 255 ?

Least Common Multiple of 84, 45, 85, 255.

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(84, 45, 85, 255) = 2 x 2 x 3 x 3 x 5 x 7 x 17 = 21420.