Least Common Multiple of 480, 378, 493

Q: How to Find the LCM of 480, 378, 493 ?

Least Common Multiple of 480, 378, 493 = 14908320 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, 378, 493) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 17 x 29 = 14908320.

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, 378, 493 i.e. 14908320 smallest integer divisible by all numbers.

Least common multiple (LCM) of 480, 378, 493 is 14908320.

LCM(480, 378, 493) = 14908320

LCM of 480, 378, 493

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

Least Common Multiple of 480, 378, 493 by common division method
Least Common Multiple of 480, 378, 493 with GCF Formula

Least Common Multiple of 480,378,493

Least Common Multiple (LCM) of 480,378,493 is 14908320

2	480, 378, 493
3	240, 189, 493
	80, 63, 493

∴ So the LCM of the given numbers is 2 x 3 x 80 x 63 x 493 = 14908320

Least Common Multiple of 480,378,493 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 480,378,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,378,493) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(480,378,493) x common factors =1 x 6 = 6

LCM(480,378,493) = ( 480 × 378 × 493 ) / 6

LCM(480,378,493) = 89449920 / 6

LCM(480,378,493) = 14908320

∴ Least Common Multiple of 480,378,493 is 14908320

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, 378, 493

1. What is the LCM of 480, 378, 493?

Answer: LCM of 480, 378, 493 is 14908320.

2. What are the Factors of 14908320?

Answer: Factors of 14908320 are . There are integers that are factors of 14908320

3. How to Find the LCM of 480, 378, 493 ?

Least Common Multiple of 480, 378, 493.

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, 378, 493) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 17 x 29 = 14908320.