Least Common Multiple of 87, 112, 406

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

• Least Common Multiple of 87, 112, 406 by common division method
• Least Common Multiple of 87, 112, 406 with GCF Formula

∴ So the LCM of the given numbers is 2 x 7 x 29 x 3 x 8 x 1 = 9744

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 87,112,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,112,406) = 1

common factors(in case of two or more numbers have common factors) = 406

GCF(87,112,406) x common factors =1 x 406 = 406

LCM(87,112,406) = ( 87 × 112 × 406 ) / 406

LCM(87,112,406) = 3956064 / 406

LCM(87,112,406) = 9744

∴ Least Common Multiple of 87,112,406 is 9744

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

• LCM of 80, 610, 184
• LCM of 46, 861, 509
• LCM of 96, 197, 477
• LCM of 77, 157, 347
• LCM of 51, 837, 803

1. What is the LCM of 87, 112, 406?

Answer: LCM of 87, 112, 406 is 9744.

2. What are the Factors of 9744?

Answer: Factors of 9744 are . There are integers that are factors of 9744

3. How to Find the LCM of 87, 112, 406 ?

Least Common Multiple of 87, 112, 406.

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(87, 112, 406) = 2 x 2 x 2 x 2 x 3 x 7 x 29 = 9744.