Least Common Multiple of 45, 14, 17

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

• Least Common Multiple of 45, 14, 17 by common division method
• Least Common Multiple of 45, 14, 17 with GCF Formula

Given numbers has no common factors except 1. So, there LCM is their product i.e 10710

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 45,14,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,14,17) = 1

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

GCF(45,14,17) x common factors =1 x 1 = 1

LCM(45,14,17) = ( 45 × 14 × 17 ) / 1

LCM(45,14,17) = 10710 / 1

LCM(45,14,17) = 10710

∴ Least Common Multiple of 45,14,17 is 10710

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

• LCM of 76, 70, 38
• LCM of 71, 65, 18
• LCM of 96, 50, 55
• LCM of 63, 35, 14
• LCM of 91, 53, 29

1. What is the LCM of 45, 14, 17?

Answer: LCM of 45, 14, 17 is 10710.

2. What are the Factors of 10710?

Answer: Factors of 10710 are . There are integers that are factors of 10710

3. How to Find the LCM of 45, 14, 17 ?

Least Common Multiple of 45, 14, 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(45, 14, 17) = 2 x 3 x 3 x 5 x 7 x 17 = 10710.