Least Common Multiple of 414, 204, 23

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

• Least Common Multiple of 414, 204, 23 by common division method
• Least Common Multiple of 414, 204, 23 with GCF Formula

∴ So the LCM of the given numbers is 2 x 3 x 23 x 3 x 34 x 1 = 14076

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 414,204,23 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(414,204,23) = 1

common factors(in case of two or more numbers have common factors) = 138

GCF(414,204,23) x common factors =1 x 138 = 138

LCM(414,204,23) = ( 414 × 204 × 23 ) / 138

LCM(414,204,23) = 1942488 / 138

LCM(414,204,23) = 14076

∴ Least Common Multiple of 414,204,23 is 14076

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

• LCM of 786, 982, 47
• LCM of 496, 160, 83
• LCM of 409, 488, 13
• LCM of 178, 454, 58
• LCM of 972, 297, 90

1. What is the LCM of 414, 204, 23?

Answer: LCM of 414, 204, 23 is 14076.

2. What are the Factors of 14076?

Answer: Factors of 14076 are . There are integers that are factors of 14076

3. How to Find the LCM of 414, 204, 23 ?

Least Common Multiple of 414, 204, 23.

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(414, 204, 23) = 2 x 2 x 3 x 3 x 17 x 23 = 14076.