Least Common Multiple of 714, 960, 819

Q: How to Find the LCM of 714, 960, 819 ?

Least Common Multiple of 714, 960, 819 = 4455360 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(714, 960, 819) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 13 x 17 = 4455360.

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 714, 960, 819 i.e. 4455360 smallest integer divisible by all numbers.

Least common multiple (LCM) of 714, 960, 819 is 4455360.

LCM(714, 960, 819) = 4455360

LCM of 714, 960, 819

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

Least Common Multiple of 714, 960, 819 by common division method
Least Common Multiple of 714, 960, 819 with GCF Formula

Least Common Multiple of 714,960,819

Least Common Multiple (LCM) of 714,960,819 is 4455360

2	714, 960, 819
3	357, 480, 819
7	119, 160, 273
	17, 160, 39

∴ So the LCM of the given numbers is 2 x 3 x 7 x 17 x 160 x 39 = 4455360

Least Common Multiple of 714,960,819 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 714,960,819 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(714,960,819) = 3

common factors(in case of two or more numbers have common factors) = 42

GCF(714,960,819) x common factors =3 x 42 = 126

LCM(714,960,819) = ( 714 × 960 × 819 ) / 126

LCM(714,960,819) = 561375360 / 126

LCM(714,960,819) = 4455360

∴ Least Common Multiple of 714,960,819 is 4455360

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 714, 960, 819

1. What is the LCM of 714, 960, 819?

Answer: LCM of 714, 960, 819 is 4455360.

2. What are the Factors of 4455360?

Answer: Factors of 4455360 are . There are integers that are factors of 4455360

3. How to Find the LCM of 714, 960, 819 ?

Least Common Multiple of 714, 960, 819.

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(714, 960, 819) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 13 x 17 = 4455360.