Given numbers are 585,679,221,148

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 585,679,221,148 is 999392940.

Find LCM of 585,679,221,148 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

13 x 45 x 679 x 17 x 148 = 999392940

Therefore, the lowest common multiple of 585,679,221,148 is 999392940.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

585 x 679 x 221 x 148 = 12992108220

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

679 : 1, 7, 97, 679

221 : 1, 13, 17, 221

148 : 1, 2, 4, 37, 74, 148

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 585,679,221,148, is 1.

Now, the common factors can be found like this.

585:3x 3x 5x 13

679:7x 97

221:13x 17

148:2x 2x 37

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

13 = 13

Therefore, the value for common factors is 13.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 12992108220/(1x13)

LCM = 12992108220/13

LCM = 999392940

Thus, we can understand that the LCM of 585,679,221,148 is 999392940.

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

• LCM of 274, 709, 985, 978
• LCM of 108, 504, 183, 607
• LCM of 369, 485, 488, 835
• LCM of 209, 478, 636, 367
• LCM of 232, 538, 236, 324

1. What is the LCM of 585, 679, 221, 148?

Answer: LCM of 585, 679, 221, 148 is 999392940.

2. How to calculate the LCM of 585, 679, 221, 148?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 585, 679, 221, 148.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.