Least Common Multiple of 30, 24, 19, 57

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

• Least Common Multiple of 30, 24, 19, 57 by common division method
• Least Common Multiple of 30, 24, 19, 57 with GCF Formula

∴ So the LCM of the given numbers is 2 x 3 x 19 x 5 x 4 x 1 x 1 = 2280

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 30,24,19,57 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,24,19,57) = 1

common factors(in case of two or more numbers have common factors) = 342

GCF(30,24,19,57) x common factors =1 x 342 = 342

LCM(30,24,19,57) = ( 30 × 24 × 19 × 57 ) / 342

LCM(30,24,19,57) = 779760 / 342

LCM(30,24,19,57) = 2280

∴ Least Common Multiple of 30,24,19,57 is 2280

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

• LCM of 94, 79, 99, 74
• LCM of 66, 38, 82, 65
• LCM of 92, 25, 50, 60
• LCM of 14, 71, 56, 68
• LCM of 29, 63, 15, 15

1. What is the LCM of 30, 24, 19, 57?

Answer: LCM of 30, 24, 19, 57 is 2280.

2. What are the Factors of 2280?

Answer: Factors of 2280 are . There are integers that are factors of 2280

3. How to Find the LCM of 30, 24, 19, 57 ?

Least Common Multiple of 30, 24, 19, 57.

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, 24, 19, 57) = 2 x 2 x 2 x 3 x 5 x 19 = 2280.