Least Common Multiple of 17, 45, 64, 480

Q: How to Find the LCM of 17, 45, 64, 480 ?

Least Common Multiple of 17, 45, 64, 480 = 48960 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(17, 45, 64, 480) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 17 = 48960.

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 17, 45, 64, 480 i.e. 48960 smallest integer divisible by all numbers.

Least common multiple (LCM) of 17, 45, 64, 480 is 48960.

LCM(17, 45, 64, 480) = 48960

LCM of 17, 45, 64, 480

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

Least Common Multiple of 17, 45, 64, 480 by common division method
Least Common Multiple of 17, 45, 64, 480 with GCF Formula

Least Common Multiple of 17,45,64,480

Least Common Multiple (LCM) of 17,45,64,480 is 48960

2	17, 45, 64, 480
2	17, 45, 32, 240
2	17, 45, 16, 120
2	17, 45, 8, 60
2	17, 45, 4, 30
3	17, 45, 2, 15
5	17, 5, 2, 15
	17, 1, 2, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 5 x 17 x 1 x 2 x 3 = 48960

Least Common Multiple of 17,45,64,480 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 17,45,64,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,45,64,480) = 1

common factors(in case of two or more numbers have common factors) = 480

GCF(17,45,64,480) x common factors =1 x 480 = 480

LCM(17,45,64,480) = ( 17 × 45 × 64 × 480 ) / 480

LCM(17,45,64,480) = 23500800 / 480

LCM(17,45,64,480) = 48960

∴ Least Common Multiple of 17,45,64,480 is 48960

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 17, 45, 64, 480

1. What is the LCM of 17, 45, 64, 480?

Answer: LCM of 17, 45, 64, 480 is 48960.

2. What are the Factors of 48960?

Answer: Factors of 48960 are . There are integers that are factors of 48960

3. How to Find the LCM of 17, 45, 64, 480 ?

Least Common Multiple of 17, 45, 64, 480.

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(17, 45, 64, 480) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 17 = 48960.