Least Common Multiple of 30, 34, 204

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

• Least Common Multiple of 30, 34, 204 by common division method
• Least Common Multiple of 30, 34, 204 with GCF Formula

∴ So the LCM of the given numbers is 2 x 3 x 17 x 5 x 1 x 2 = 1020

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 30,34,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,34,204) = 2

common factors(in case of two or more numbers have common factors) = 102

GCF(30,34,204) x common factors =2 x 102 = 204

LCM(30,34,204) = ( 30 × 34 × 204 ) / 204

LCM(30,34,204) = 208080 / 204

LCM(30,34,204) = 1020

∴ Least Common Multiple of 30,34,204 is 1020

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

• LCM of 78, 26, 807
• LCM of 99, 46, 141
• LCM of 45, 95, 795
• LCM of 56, 39, 742
• LCM of 33, 22, 253

1. What is the LCM of 30, 34, 204?

Answer: LCM of 30, 34, 204 is 1020.

2. What are the Factors of 1020?

Answer: Factors of 1020 are . There are integers that are factors of 1020

3. How to Find the LCM of 30, 34, 204 ?

Least Common Multiple of 30, 34, 204.

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(30, 34, 204) = 2 x 2 x 3 x 5 x 17 = 1020.