Least Common Multiple of 60, 69, 17

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

• Least Common Multiple of 60, 69, 17 by common division method
• Least Common Multiple of 60, 69, 17 with GCF Formula

∴ So the LCM of the given numbers is 3 x 20 x 23 x 17 = 23460

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 60,69,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,69,17) = 1

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

GCF(60,69,17) x common factors =1 x 3 = 3

LCM(60,69,17) = ( 60 × 69 × 17 ) / 3

LCM(60,69,17) = 70380 / 3

LCM(60,69,17) = 23460

∴ Least Common Multiple of 60,69,17 is 23460

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

• LCM of 36, 63, 45
• LCM of 15, 86, 80
• LCM of 48, 52, 58
• LCM of 22, 92, 59
• LCM of 41, 42, 42

1. What is the LCM of 60, 69, 17?

Answer: LCM of 60, 69, 17 is 23460.

2. What are the Factors of 23460?

Answer: Factors of 23460 are . There are integers that are factors of 23460

3. How to Find the LCM of 60, 69, 17 ?

Least Common Multiple of 60, 69, 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(60, 69, 17) = 2 x 2 x 3 x 5 x 17 x 23 = 23460.