**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 24, 48, 64 i.e. 192 smallest integer divisible by all numbers.

Least common multiple (LCM) of 24, 48, 64 is **192**.

LCM(24, 48, 64) = 192

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

2 | 24, 48, 64 |

2 | 12, 24, 32 |

2 | 6, 12, 16 |

2 | 3, 6, 8 |

3 | 3, 3, 4 |

1, 1, 4 |

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 1 x 1 x 4 = 192

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 24,48,64 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,48,64) = 8

common factors(in case of two or more numbers have common factors) = 48

GCF(24,48,64) x common factors =8 x 48 = 384

LCM(24,48,64) = ( 24 × 48 × 64 ) / 384

LCM(24,48,64) = 73728 / 384

LCM(24,48,64) = 192

∴ Least Common Multiple of 24,48,64 is 192

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

1. What is the LCM of 24, 48, 64?

Answer: LCM of 24, 48, 64 is 192.

2. What are the Factors of 192?

Answer: Factors of 192 are . There are integers that are factors of 192

3. How to Find the LCM of 24, 48, 64 ?

Least Common Multiple of 24, 48, 64.

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(24, 48, 64) = 2 x 2 x 2 x 2 x 2 x 2 x 3 = 192.