Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 21, 28, 35 i.e. 420 smallest integer divisible by all numbers.

Least common multiple (LCM) of 21, 28, 35 is **420**.

LCM(21, 28, 35) = 420

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

- Least Common Multiple of 21, 28, 35 by common division method
- Least Common Multiple of 21, 28, 35 with GCF Formula

7 | 21, 28, 35 |

3, 4, 5 |

∴ So the LCM of the given numbers is 7 x 3 x 4 x 5 = 420

The formula of **LCM** is LCM(a_{1},a_{2},a_{3}....,a_{n}) = ( a_{1} × a_{2} × a_{3} × .... × a_{n}) / GCF(a_{1},a_{2},a_{3}....,a_{n}) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 21,28,35 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,28,35) = 7

common factors(in case of two or more numbers have common factors) = 1

GCF(21,28,35) x common factors =7 x 1 = 7

LCM(21,28,35) = ( 21 × 28 × 35 ) / 7

LCM(21,28,35) = 20580 / 7

LCM(21,28,35) = 420

∴ Least Common Multiple of 21,28,35 is 420

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

1. What is the LCM of 21, 28, 35?

Answer: LCM of 21, 28, 35 is 420.

2. What are the Factors of 420?

Answer: Factors of 420 are . There are integers that are factors of 420

3. How to Find the LCM of 21, 28, 35 ?

Least Common Multiple of 21, 28, 35.

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, 28, 35) = 2 x 2 x 3 x 5 x 7 = 420.