Given numbers are 432,764,692,460

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

The LCM of 432,764,692,460 is 1641576240.

Find LCM of 432,764,692,460 with Prime Factorization

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

2 x 2 x 108 x 191 x 173 x 115 = 1641576240

Therefore, the lowest common multiple of 432,764,692,460 is 1641576240.

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.

432 x 764 x 692 x 460 = 105060879360

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.

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

764 : 1, 2, 4, 191, 382, 764

692 : 1, 2, 4, 173, 346, 692

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

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 432,764,692,460, is 4.

Now, the common factors can be found like this.

432:2x 2x 2x 2x 3x 3x 3

764:2x 2x 191

692:2x 2x 173

460:2x 2x 5x 23

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 2 = 16

Therefore, the value for common factors is 16.

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 = 105060879360/(4x16)

LCM = 105060879360/64

LCM = 1641576240

Thus, we can understand that the LCM of 432,764,692,460 is 1641576240.

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

• LCM of 305, 794, 701, 821
• LCM of 390, 929, 509, 607
• LCM of 662, 154, 834, 709
• LCM of 274, 569, 108, 151
• LCM of 929, 256, 830, 306

1. What is the LCM of 432, 764, 692, 460?

Answer: LCM of 432, 764, 692, 460 is 1641576240.

2. How to calculate the LCM of 432, 764, 692, 460?

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 432, 764, 692, 460.

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}.