Least Common Multiple of 30, 87, 213

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

• Least Common Multiple of 30, 87, 213 by common division method
• Least Common Multiple of 30, 87, 213 with GCF Formula

∴ So the LCM of the given numbers is 3 x 10 x 29 x 71 = 61770

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 30,87,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,87,213) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(30,87,213) x common factors =3 x 3 = 9

LCM(30,87,213) = ( 30 × 87 × 213 ) / 9

LCM(30,87,213) = 555930 / 9

LCM(30,87,213) = 61770

∴ Least Common Multiple of 30,87,213 is 61770

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

• LCM of 61, 56, 799
• LCM of 46, 10, 100
• LCM of 88, 46, 752
• LCM of 86, 53, 131
• LCM of 77, 71, 743

1. What is the LCM of 30, 87, 213?

Answer: LCM of 30, 87, 213 is 61770.

2. What are the Factors of 61770?

Answer: Factors of 61770 are . There are integers that are factors of 61770

3. How to Find the LCM of 30, 87, 213 ?

Least Common Multiple of 30, 87, 213.

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, 87, 213) = 2 x 3 x 5 x 29 x 71 = 61770.