Least Common Multiple of 90, 39, 360

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

• Least Common Multiple of 90, 39, 360 by common division method
• Least Common Multiple of 90, 39, 360 with GCF Formula

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 1 x 13 x 4 = 4680

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 90,39,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,39,360) = 3

common factors(in case of two or more numbers have common factors) = 90

GCF(90,39,360) x common factors =3 x 90 = 270

LCM(90,39,360) = ( 90 × 39 × 360 ) / 270

LCM(90,39,360) = 1263600 / 270

LCM(90,39,360) = 4680

∴ Least Common Multiple of 90,39,360 is 4680

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

• LCM of 59, 30, 982
• LCM of 13, 80, 726
• LCM of 79, 41, 118
• LCM of 70, 10, 723
• LCM of 89, 95, 859

1. What is the LCM of 90, 39, 360?

Answer: LCM of 90, 39, 360 is 4680.

2. What are the Factors of 4680?

Answer: Factors of 4680 are . There are integers that are factors of 4680

3. How to Find the LCM of 90, 39, 360 ?

Least Common Multiple of 90, 39, 360.

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(90, 39, 360) = 2 x 2 x 2 x 3 x 3 x 5 x 13 = 4680.