Least Common Multiple of 21, 51, 14, 21

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

• Least Common Multiple of 21, 51, 14, 21 by common division method
• Least Common Multiple of 21, 51, 14, 21 with GCF Formula

∴ So the LCM of the given numbers is 3 x 7 x 1 x 17 x 2 x 1 = 714

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 21,51,14,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,51,14,21) = 1

common factors(in case of two or more numbers have common factors) = 441

GCF(21,51,14,21) x common factors =1 x 441 = 441

LCM(21,51,14,21) = ( 21 × 51 × 14 × 21 ) / 441

LCM(21,51,14,21) = 314874 / 441

LCM(21,51,14,21) = 714

∴ Least Common Multiple of 21,51,14,21 is 714

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

• LCM of 96, 59, 94, 57
• LCM of 10, 75, 89, 17
• LCM of 88, 68, 55, 76
• LCM of 38, 10, 56, 98
• LCM of 82, 79, 68, 97

1. What is the LCM of 21, 51, 14, 21?

Answer: LCM of 21, 51, 14, 21 is 714.

2. What are the Factors of 714?

Answer: Factors of 714 are . There are integers that are factors of 714

3. How to Find the LCM of 21, 51, 14, 21 ?

Least Common Multiple of 21, 51, 14, 21.

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, 51, 14, 21) = 2 x 3 x 7 x 17 = 714.