Least Common Multiple of 35, 90, 14, 270

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

• Least Common Multiple of 35, 90, 14, 270 by common division method
• Least Common Multiple of 35, 90, 14, 270 with GCF Formula

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 7 x 1 x 1 x 1 x 3 = 1890

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 35,90,14,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,90,14,270) = 1

common factors(in case of two or more numbers have common factors) = 6300

GCF(35,90,14,270) x common factors =1 x 6300 = 6300

LCM(35,90,14,270) = ( 35 × 90 × 14 × 270 ) / 6300

LCM(35,90,14,270) = 11907000 / 6300

LCM(35,90,14,270) = 1890

∴ Least Common Multiple of 35,90,14,270 is 1890

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

• LCM of 39, 34, 66, 108
• LCM of 33, 80, 82, 480
• LCM of 30, 64, 16, 819
• LCM of 55, 65, 24, 161
• LCM of 20, 11, 84, 630

1. What is the LCM of 35, 90, 14, 270?

Answer: LCM of 35, 90, 14, 270 is 1890.

2. What are the Factors of 1890?

Answer: Factors of 1890 are . There are integers that are factors of 1890

3. How to Find the LCM of 35, 90, 14, 270 ?

Least Common Multiple of 35, 90, 14, 270.

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(35, 90, 14, 270) = 2 x 3 x 3 x 3 x 5 x 7 = 1890.