Least Common Multiple of 18, 45, 80, 417

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 18, 45, 80, 417 i.e. 100080 smallest integer divisible by all numbers.

Least common multiple (LCM) of 18, 45, 80, 417 is 100080.

LCM(18, 45, 80, 417) = 100080

LCM of 18, 45, 80, 417

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

LCM of:

Least Common Multiple of 18,45,80,417

Least Common Multiple (LCM) of 18,45,80,417 is 100080

2 18, 45, 80, 417
3 9, 45, 40, 417
3 3, 15, 40, 139
5 1, 5, 40, 139
1, 1, 8, 139

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 1 x 1 x 8 x 139 = 100080

Least Common Multiple of 18,45,80,417 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 18,45,80,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,45,80,417) = 1

common factors(in case of two or more numbers have common factors) = 270

GCF(18,45,80,417) x common factors =1 x 270 = 270

LCM(18,45,80,417) = ( 18 × 45 × 80 × 417 ) / 270

LCM(18,45,80,417) = 27021600 / 270

LCM(18,45,80,417) = 100080

∴ Least Common Multiple of 18,45,80,417 is 100080

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 18, 45, 80, 417

1. What is the LCM of 18, 45, 80, 417?

Answer: LCM of 18, 45, 80, 417 is 100080.

2. What are the Factors of 100080?

Answer: Factors of 100080 are . There are integers that are factors of 100080

3. How to Find the LCM of 18, 45, 80, 417 ?

Least Common Multiple of 18, 45, 80, 417.

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(18, 45, 80, 417) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 139 = 100080.