Least Common Multiple of 306, 714, 24

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

• Least Common Multiple of 306, 714, 24 by common division method
• Least Common Multiple of 306, 714, 24 with GCF Formula

∴ So the LCM of the given numbers is 2 x 3 x 17 x 3 x 7 x 4 = 8568

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 306,714,24 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(306,714,24) = 6

common factors(in case of two or more numbers have common factors) = 102

GCF(306,714,24) x common factors =6 x 102 = 612

LCM(306,714,24) = ( 306 × 714 × 24 ) / 612

LCM(306,714,24) = 5243616 / 612

LCM(306,714,24) = 8568

∴ Least Common Multiple of 306,714,24 is 8568

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

• LCM of 191, 877, 12
• LCM of 531, 404, 18
• LCM of 579, 261, 95
• LCM of 316, 279, 44
• LCM of 610, 241, 49

1. What is the LCM of 306, 714, 24?

Answer: LCM of 306, 714, 24 is 8568.

2. What are the Factors of 8568?

Answer: Factors of 8568 are . There are integers that are factors of 8568

3. How to Find the LCM of 306, 714, 24 ?

Least Common Multiple of 306, 714, 24.

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(306, 714, 24) = 2 x 2 x 2 x 3 x 3 x 7 x 17 = 8568.