Given numbers are 460,584,220,372,468

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

The LCM of 460,584,220,372,468 is 2679482520.

Find LCM of 460,584,220,372,468 with Prime Factorization

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

2 x 2 x 3 x 5 x 23 x 146 x 11 x 31 x 39 = 2679482520

Therefore, the lowest common multiple of 460,584,220,372,468 is 2679482520.

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.

460 x 584 x 220 x 372 x 468 = 10289212876800

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

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

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,584,220,372,468, is 4.

Now, the common factors can be found like this.

460:2x 2x 5x 23

584:2x 2x 2x 73

220:2x 2x 5x 11

372:2x 2x 3x 31

468:2x 2x 3x 3x 13

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 5 = 960

Therefore, the value for common factors is 960.

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 = 10289212876800/(4x960)

LCM = 10289212876800/3840

LCM = 2679482520

Thus, we can understand that the LCM of 460,584,220,372,468 is 2679482520.

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

• LCM of 607, 928, 585, 573, 923
• LCM of 688, 929, 782, 837, 934
• LCM of 370, 956, 874, 482, 990
• LCM of 942, 926, 751, 533, 107
• LCM of 518, 253, 100, 502, 663

1. What is the LCM of 460, 584, 220, 372, 468?

Answer: LCM of 460, 584, 220, 372, 468 is 2679482520.

2. How to calculate the LCM of 460, 584, 220, 372, 468?

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 460, 584, 220, 372, 468.

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}.