Least Common Multiple of 480, 72, 469, 870

Q: How to Find the LCM of 480, 72, 469, 870 ?

Least Common Multiple of 480, 72, 469, 870 = 19585440 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(480, 72, 469, 870) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 29 x 67 = 19585440.

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 480, 72, 469, 870 i.e. 19585440 smallest integer divisible by all numbers.

Least common multiple (LCM) of 480, 72, 469, 870 is 19585440.

LCM(480, 72, 469, 870) = 19585440

LCM of 480, 72, 469, 870

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

Least Common Multiple of 480, 72, 469, 870 by common division method
Least Common Multiple of 480, 72, 469, 870 with GCF Formula

Least Common Multiple of 480,72,469,870

Least Common Multiple (LCM) of 480,72,469,870 is 19585440

2	480, 72, 469, 870
2	240, 36, 469, 435
2	120, 18, 469, 435
3	60, 9, 469, 435
5	20, 3, 469, 145
	4, 3, 469, 29

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 4 x 3 x 469 x 29 = 19585440

Least Common Multiple of 480,72,469,870 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 480,72,469,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,72,469,870) = 1

common factors(in case of two or more numbers have common factors) = 720

GCF(480,72,469,870) x common factors =1 x 720 = 720

LCM(480,72,469,870) = ( 480 × 72 × 469 × 870 ) / 720

LCM(480,72,469,870) = 14101516800 / 720

LCM(480,72,469,870) = 19585440

∴ Least Common Multiple of 480,72,469,870 is 19585440

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 480, 72, 469, 870

1. What is the LCM of 480, 72, 469, 870?

Answer: LCM of 480, 72, 469, 870 is 19585440.

2. What are the Factors of 19585440?

Answer: Factors of 19585440 are . There are integers that are factors of 19585440

3. How to Find the LCM of 480, 72, 469, 870 ?

Least Common Multiple of 480, 72, 469, 870.

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(480, 72, 469, 870) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 29 x 67 = 19585440.