Least Common Multiple of 17, 30, 45, 54

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

• Least Common Multiple of 17, 30, 45, 54 by common division method
• Least Common Multiple of 17, 30, 45, 54 with GCF Formula

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 17 x 1 x 1 x 3 = 4590

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 17,30,45,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,30,45,54) = 1

common factors(in case of two or more numbers have common factors) = 270

GCF(17,30,45,54) x common factors =1 x 270 = 270

LCM(17,30,45,54) = ( 17 × 30 × 45 × 54 ) / 270

LCM(17,30,45,54) = 1239300 / 270

LCM(17,30,45,54) = 4590

∴ Least Common Multiple of 17,30,45,54 is 4590

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

• LCM of 47, 91, 92, 27
• LCM of 50, 81, 87, 91
• LCM of 37, 79, 81, 28
• LCM of 67, 89, 61, 18
• LCM of 85, 39, 36, 53

1. What is the LCM of 17, 30, 45, 54?

Answer: LCM of 17, 30, 45, 54 is 4590.

2. What are the Factors of 4590?

Answer: Factors of 4590 are . There are integers that are factors of 4590

3. How to Find the LCM of 17, 30, 45, 54 ?

Least Common Multiple of 17, 30, 45, 54.

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, 45, 54) = 2 x 3 x 3 x 3 x 5 x 17 = 4590.