Least Common Multiple of 18, 69, 21, 90

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

• Least Common Multiple of 18, 69, 21, 90 by common division method
• Least Common Multiple of 18, 69, 21, 90 with GCF Formula

∴ So the LCM of the given numbers is 2 x 3 x 3 x 1 x 23 x 7 x 5 = 14490

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 18,69,21,90 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,69,21,90) = 3

common factors(in case of two or more numbers have common factors) = 54

GCF(18,69,21,90) x common factors =3 x 54 = 162

LCM(18,69,21,90) = ( 18 × 69 × 21 × 90 ) / 162

LCM(18,69,21,90) = 2347380 / 162

LCM(18,69,21,90) = 14490

∴ Least Common Multiple of 18,69,21,90 is 14490

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

• LCM of 60, 20, 17, 43
• LCM of 76, 10, 66, 16
• LCM of 45, 43, 18, 49
• LCM of 20, 90, 60, 64
• LCM of 59, 39, 14, 77

1. What is the LCM of 18, 69, 21, 90?

Answer: LCM of 18, 69, 21, 90 is 14490.

2. What are the Factors of 14490?

Answer: Factors of 14490 are . There are integers that are factors of 14490

3. How to Find the LCM of 18, 69, 21, 90 ?

Least Common Multiple of 18, 69, 21, 90.

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(18, 69, 21, 90) = 2 x 3 x 3 x 5 x 7 x 23 = 14490.