Least Common Multiple of 480, 426, 432

Q: How to Find the LCM of 480, 426, 432 ?

Least Common Multiple of 480, 426, 432 = 306720 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, 426, 432) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 71 = 306720.

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, 426, 432 i.e. 306720 smallest integer divisible by all numbers.

Least common multiple (LCM) of 480, 426, 432 is 306720.

LCM(480, 426, 432) = 306720

LCM of 480, 426, 432

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

Least Common Multiple of 480, 426, 432 by common division method
Least Common Multiple of 480, 426, 432 with GCF Formula

Least Common Multiple of 480,426,432

Least Common Multiple (LCM) of 480,426,432 is 306720

2	480, 426, 432
2	240, 213, 216
2	120, 213, 108
2	60, 213, 54
3	30, 213, 27
	10, 71, 9

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 10 x 71 x 9 = 306720

Least Common Multiple of 480,426,432 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 480,426,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,426,432) = 6

common factors(in case of two or more numbers have common factors) = 48

GCF(480,426,432) x common factors =6 x 48 = 288

LCM(480,426,432) = ( 480 × 426 × 432 ) / 288

LCM(480,426,432) = 88335360 / 288

LCM(480,426,432) = 306720

∴ Least Common Multiple of 480,426,432 is 306720

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, 426, 432

1. What is the LCM of 480, 426, 432?

Answer: LCM of 480, 426, 432 is 306720.

2. What are the Factors of 306720?

Answer: Factors of 306720 are . There are integers that are factors of 306720

3. How to Find the LCM of 480, 426, 432 ?

Least Common Multiple of 480, 426, 432.

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, 426, 432) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 71 = 306720.