Given numbers are 660,324,617,348,584

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

The LCM of 660,324,617,348,584 is 46552575960.

Find LCM of 660,324,617,348,584 with Prime Factorization

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

2 x 2 x 3 x 55 x 27 x 617 x 29 x 146 = 46552575960

Therefore, the lowest common multiple of 660,324,617,348,584 is 46552575960.

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.

660 x 324 x 617 x 348 x 584 = 26814283752960

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.

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

617 : 1, 617

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

584 : 1, 2, 4, 8, 73, 146, 292, 584

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 660,324,617,348,584, is 1.

Now, the common factors can be found like this.

660:2x 2x 3x 5x 11

324:2x 2x 3x 3x 3x 3

617:617

348:2x 2x 3x 29

584:2x 2x 2x 73

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

2x 2x 2x 2x 2x 2x 3x 3 = 576

Therefore, the value for common factors is 576.

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 = 26814283752960/(1x576)

LCM = 26814283752960/576

LCM = 46552575960

Thus, we can understand that the LCM of 660,324,617,348,584 is 46552575960.

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

• LCM of 208, 435, 886, 904, 383
• LCM of 346, 924, 962, 800, 892
• LCM of 575, 929, 978, 586, 350
• LCM of 333, 689, 513, 150, 541
• LCM of 127, 379, 190, 893, 931

1. What is the LCM of 660, 324, 617, 348, 584?

Answer: LCM of 660, 324, 617, 348, 584 is 46552575960.

2. How to calculate the LCM of 660, 324, 617, 348, 584?

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 660, 324, 617, 348, 584.

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}.