**Created By :**
Jatin Gogia

**Reviewed By :**
Rajasekhar Valipishetty

**Last Updated :**
Apr 06, 2023

Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 9, 405, 567, 945 i.e. 2835 smallest integer divisible by all numbers.

Least common multiple (LCM) of 9, 405, 567, 945 is **2835**.

LCM(9, 405, 567, 945) = 2835

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

3 | 9, 405, 567, 945 |

3 | 3, 135, 189, 315 |

3 | 1, 45, 63, 105 |

3 | 1, 15, 21, 35 |

5 | 1, 5, 7, 35 |

7 | 1, 1, 7, 7 |

1, 1, 1, 1 |

∴ So the LCM of the given numbers is 3 x 3 x 3 x 3 x 5 x 7 x 1 x 1 x 1 x 1 = 2835

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 9,405,567,945 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9,405,567,945) = 9

common factors(in case of two or more numbers have common factors) = 76545

GCF(9,405,567,945) x common factors =9 x 76545 = 688905

LCM(9,405,567,945) = ( 9 × 405 × 567 × 945 ) / 688905

LCM(9,405,567,945) = 1953045675 / 688905

LCM(9,405,567,945) = 2835

∴ Least Common Multiple of 9,405,567,945 is 2835

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

1. What is the LCM of 9, 405, 567, 945?

Answer: LCM of 9, 405, 567, 945 is 2835.

2. What are the Factors of 2835?

Answer: Factors of 2835 are . There are integers that are factors of 2835

3. How to Find the LCM of 9, 405, 567, 945 ?

Least Common Multiple of 9, 405, 567, 945.

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(9, 405, 567, 945) = 3 x 3 x 3 x 3 x 5 x 7 = 2835.