Least Common Multiple of 90, 12, 45, 19

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

• Least Common Multiple of 90, 12, 45, 19 by common division method
• Least Common Multiple of 90, 12, 45, 19 with GCF Formula

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 1 x 2 x 1 x 19 = 3420

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 90,12,45,19 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,12,45,19) = 1

common factors(in case of two or more numbers have common factors) = 270

GCF(90,12,45,19) x common factors =1 x 270 = 270

LCM(90,12,45,19) = ( 90 × 12 × 45 × 19 ) / 270

LCM(90,12,45,19) = 923400 / 270

LCM(90,12,45,19) = 3420

∴ Least Common Multiple of 90,12,45,19 is 3420

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

• LCM of 62, 47, 65, 88
• LCM of 60, 10, 34, 21
• LCM of 41, 85, 41, 28
• LCM of 24, 61, 46, 66
• LCM of 88, 89, 44, 91

1. What is the LCM of 90, 12, 45, 19?

Answer: LCM of 90, 12, 45, 19 is 3420.

2. What are the Factors of 3420?

Answer: Factors of 3420 are . There are integers that are factors of 3420

3. How to Find the LCM of 90, 12, 45, 19 ?

Least Common Multiple of 90, 12, 45, 19.

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, 12, 45, 19) = 2 x 2 x 3 x 3 x 5 x 19 = 3420.