Least Common Multiple of 17, 30, 689

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 17, 30, 689 i.e. 351390 smallest integer divisible by all numbers.

Least common multiple (LCM) of 17, 30, 689 is 351390.

LCM(17, 30, 689) = 351390

LCM of 17, 30, 689

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

LCM of:

Least Common Multiple of 17,30,689

Least Common Multiple (LCM) of 17,30,689 is 351390

Given numbers has no common factors except 1. So, there LCM is their product i.e 351390

Least Common Multiple of 17,30,689 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 17,30,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,30,689) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(17,30,689) x common factors =1 x 1 = 1

LCM(17,30,689) = ( 17 × 30 × 689 ) / 1

LCM(17,30,689) = 351390 / 1

LCM(17,30,689) = 351390

∴ Least Common Multiple of 17,30,689 is 351390

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 17, 30, 689

1. What is the LCM of 17, 30, 689?

Answer: LCM of 17, 30, 689 is 351390.

2. What are the Factors of 351390?

Answer: Factors of 351390 are . There are integers that are factors of 351390

3. How to Find the LCM of 17, 30, 689 ?

Least Common Multiple of 17, 30, 689.

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(17, 30, 689) = 2 x 3 x 5 x 13 x 17 x 53 = 351390.