Least Common Multiple of 75, 51, 408

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

• Least Common Multiple of 75, 51, 408 by common division method
• Least Common Multiple of 75, 51, 408 with GCF Formula

∴ So the LCM of the given numbers is 3 x 17 x 25 x 1 x 8 = 10200

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 75,51,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,51,408) = 3

common factors(in case of two or more numbers have common factors) = 51

GCF(75,51,408) x common factors =3 x 51 = 153

LCM(75,51,408) = ( 75 × 51 × 408 ) / 153

LCM(75,51,408) = 1560600 / 153

LCM(75,51,408) = 10200

∴ Least Common Multiple of 75,51,408 is 10200

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

• LCM of 64, 43, 352
• LCM of 17, 54, 953
• LCM of 88, 77, 774
• LCM of 47, 78, 799
• LCM of 80, 31, 235

1. What is the LCM of 75, 51, 408?

Answer: LCM of 75, 51, 408 is 10200.

2. What are the Factors of 10200?

Answer: Factors of 10200 are . There are integers that are factors of 10200

3. How to Find the LCM of 75, 51, 408 ?

Least Common Multiple of 75, 51, 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(75, 51, 408) = 2 x 2 x 2 x 3 x 5 x 5 x 17 = 10200.