Least Common Multiple of 14, 31, 408

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

• Least Common Multiple of 14, 31, 408 by common division method
• Least Common Multiple of 14, 31, 408 with GCF Formula

∴ So the LCM of the given numbers is 2 x 7 x 31 x 204 = 88536

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 14,31,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,31,408) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(14,31,408) x common factors =1 x 2 = 2

LCM(14,31,408) = ( 14 × 31 × 408 ) / 2

LCM(14,31,408) = 177072 / 2

LCM(14,31,408) = 88536

∴ Least Common Multiple of 14,31,408 is 88536

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

• LCM of 78, 87, 907
• LCM of 84, 64, 493
• LCM of 59, 92, 971
• LCM of 36, 23, 101
• LCM of 10, 96, 279

1. What is the LCM of 14, 31, 408?

Answer: LCM of 14, 31, 408 is 88536.

2. What are the Factors of 88536?

Answer: Factors of 88536 are . There are integers that are factors of 88536

3. How to Find the LCM of 14, 31, 408 ?

Least Common Multiple of 14, 31, 408.

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(14, 31, 408) = 2 x 2 x 2 x 3 x 7 x 17 x 31 = 88536.