Given numbers are 260,352,644,402

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

The LCM of 260,352,644,402 is 740419680.

Find LCM of 260,352,644,402 with Prime Factorization

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

2 x 2 x 65 x 88 x 161 x 201 = 740419680

Therefore, the lowest common multiple of 260,352,644,402 is 740419680.

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.

260 x 352 x 644 x 402 = 23693429760

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.

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,352,644,402, is 2.

Now, the common factors can be found like this.

260:2x 2x 5x 13

352:2x 2x 2x 2x 2x 11

644:2x 2x 7x 23

402:2x 3x 67

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 = 23693429760/(2x16)

LCM = 23693429760/32

LCM = 740419680

Thus, we can understand that the LCM of 260,352,644,402 is 740419680.

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

• LCM of 511, 358, 840, 639
• LCM of 705, 700, 547, 757
• LCM of 940, 192, 694, 265
• LCM of 886, 506, 407, 195
• LCM of 433, 116, 410, 173

1. What is the LCM of 260, 352, 644, 402?

Answer: LCM of 260, 352, 644, 402 is 740419680.

2. How to calculate the LCM of 260, 352, 644, 402?

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 260, 352, 644, 402.

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}.