Least Common Multiple of 714, 493, 798

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, 493, 798 i.e. 393414 smallest integer divisible by all numbers.

Least common multiple (LCM) of 714, 493, 798 is 393414.

LCM(714, 493, 798) = 393414

LCM of 714, 493, 798

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

LCM of:

Least Common Multiple of 714,493,798

Least Common Multiple (LCM) of 714,493,798 is 393414

2 714, 493, 798
3 357, 493, 399
7 119, 493, 133
17 17, 493, 19
1, 29, 19

∴ So the LCM of the given numbers is 2 x 3 x 7 x 17 x 1 x 29 x 19 = 393414

Least Common Multiple of 714,493,798 with GCF Formula

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

We need to calculate greatest common factor of 714,493,798 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(714,493,798) = 1

common factors(in case of two or more numbers have common factors) = 714

GCF(714,493,798) x common factors =1 x 714 = 714

LCM(714,493,798) = ( 714 × 493 × 798 ) / 714

LCM(714,493,798) = 280897596 / 714

LCM(714,493,798) = 393414

∴ Least Common Multiple of 714,493,798 is 393414

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, 493, 798

1. What is the LCM of 714, 493, 798?

Answer: LCM of 714, 493, 798 is 393414.

2. What are the Factors of 393414?

Answer: Factors of 393414 are . There are integers that are factors of 393414

3. How to Find the LCM of 714, 493, 798 ?

Least Common Multiple of 714, 493, 798.

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, 493, 798) = 2 x 3 x 7 x 17 x 19 x 29 = 393414.