Least Common Multiple of 21, 70, 270

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

• Least Common Multiple of 21, 70, 270 by common division method
• Least Common Multiple of 21, 70, 270 with GCF Formula

∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 1 x 1 x 9 = 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 21,70,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,70,270) = 1

common factors(in case of two or more numbers have common factors) = 210

GCF(21,70,270) x common factors =1 x 210 = 210

LCM(21,70,270) = ( 21 × 70 × 270 ) / 210

LCM(21,70,270) = 396900 / 210

LCM(21,70,270) = 1890

∴ Least Common Multiple of 21,70,270 is 1890

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

• LCM of 32, 25, 584
• LCM of 30, 84, 485
• LCM of 65, 40, 559
• LCM of 49, 45, 523
• LCM of 39, 79, 165

1. What is the LCM of 21, 70, 270?

Answer: LCM of 21, 70, 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 21, 70, 270 ?

Least Common Multiple of 21, 70, 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(21, 70, 270) = 2 x 3 x 3 x 3 x 5 x 7 = 1890.