Least Common Multiple of 17, 15, 30, 34

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

• Least Common Multiple of 17, 15, 30, 34 by common division method
• Least Common Multiple of 17, 15, 30, 34 with GCF Formula

∴ So the LCM of the given numbers is 2 x 3 x 5 x 17 x 1 x 1 x 1 x 1 = 510

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 17,15,30,34 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,15,30,34) = 1

common factors(in case of two or more numbers have common factors) = 510

GCF(17,15,30,34) x common factors =1 x 510 = 510

LCM(17,15,30,34) = ( 17 × 15 × 30 × 34 ) / 510

LCM(17,15,30,34) = 260100 / 510

LCM(17,15,30,34) = 510

∴ Least Common Multiple of 17,15,30,34 is 510

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 97, 86, 28, 99
• LCM of 27, 64, 85, 94
• LCM of 41, 96, 38, 82
• LCM of 72, 17, 37, 90
• LCM of 87, 83, 74, 75

1. What is the LCM of 17, 15, 30, 34?

Answer: LCM of 17, 15, 30, 34 is 510.

2. What are the Factors of 510?

Answer: Factors of 510 are . There are integers that are factors of 510

3. How to Find the LCM of 17, 15, 30, 34 ?

Least Common Multiple of 17, 15, 30, 34.

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, 15, 30, 34) = 2 x 3 x 5 x 17 = 510.