Given numbers are 469,128,402,660

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

The LCM of 469,128,402,660 is 9905280.

Find LCM of 469,128,402,660 with Prime Factorization

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

2 x 2 x 3 x 67 x 7 x 32 x 1 x 55 = 9905280

Therefore, the lowest common multiple of 469,128,402,660 is 9905280.

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.

469 x 128 x 402 x 660 = 15927690240

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.

469 : 1, 7, 67, 469

128 : 1, 2, 4, 8, 16, 32, 64, 128

402 : 1, 2, 3, 6, 67, 134, 201, 402

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 469,128,402,660, is 1.

Now, the common factors can be found like this.

469:7x 67

128:2x 2x 2x 2x 2x 2x 2

402:2x 3x 67

660:2x 2x 3x 5x 11

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 3x 67 = 1608

Therefore, the value for common factors is 1608.

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 = 15927690240/(1x1608)

LCM = 15927690240/1608

LCM = 9905280

Thus, we can understand that the LCM of 469,128,402,660 is 9905280.

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

• LCM of 148, 207, 366, 499
• LCM of 714, 257, 895, 835
• LCM of 276, 507, 442, 591
• LCM of 919, 553, 643, 102
• LCM of 554, 315, 459, 833

1. What is the LCM of 469, 128, 402, 660?

Answer: LCM of 469, 128, 402, 660 is 9905280.

2. How to calculate the LCM of 469, 128, 402, 660?

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 469, 128, 402, 660.

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}.