Given numbers are 260,348,523,596

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

The LCM of 260,348,523,596 is 1762708740.

Find LCM of 260,348,523,596 with Prime Factorization

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

2 x 2 x 65 x 87 x 523 x 149 = 1762708740

Therefore, the lowest common multiple of 260,348,523,596 is 1762708740.

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 348 x 523 x 596 = 28203339840

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

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

523 : 1, 523

596 : 1, 2, 4, 149, 298, 596

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,348,523,596, is 1.

Now, the common factors can be found like this.

260:2x 2x 5x 13

348:2x 2x 3x 29

523:523

596:2x 2x 149

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 = 28203339840/(1x16)

LCM = 28203339840/16

LCM = 1762708740

Thus, we can understand that the LCM of 260,348,523,596 is 1762708740.

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

• LCM of 633, 744, 899, 345
• LCM of 182, 328, 594, 848
• LCM of 186, 902, 164, 541
• LCM of 848, 166, 145, 383
• LCM of 970, 466, 368, 670

1. What is the LCM of 260, 348, 523, 596?

Answer: LCM of 260, 348, 523, 596 is 1762708740.

2. How to calculate the LCM of 260, 348, 523, 596?

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, 348, 523, 596.

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}.