Least Common Multiple of 84, 53, 17

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

• Least Common Multiple of 84, 53, 17 by common division method
• Least Common Multiple of 84, 53, 17 with GCF Formula

Given numbers has no common factors except 1. So, there LCM is their product i.e 75684

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 84,53,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,53,17) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(84,53,17) x common factors =1 x 1 = 1

LCM(84,53,17) = ( 84 × 53 × 17 ) / 1

LCM(84,53,17) = 75684 / 1

LCM(84,53,17) = 75684

∴ Least Common Multiple of 84,53,17 is 75684

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

• LCM of 50, 74, 68
• LCM of 47, 23, 77
• LCM of 44, 32, 72
• LCM of 58, 26, 71
• LCM of 81, 88, 78

1. What is the LCM of 84, 53, 17?

Answer: LCM of 84, 53, 17 is 75684.

2. What are the Factors of 75684?

Answer: Factors of 75684 are . There are integers that are factors of 75684

3. How to Find the LCM of 84, 53, 17 ?

Least Common Multiple of 84, 53, 17.

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(84, 53, 17) = 2 x 2 x 3 x 7 x 17 x 53 = 75684.