Given numbers are 260,193,622,716,576

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

The LCM of 260,193,622,716,576 is 402259740480.

Find LCM of 260,193,622,716,576 with Prime Factorization

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

2 x 2 x 65 x 193 x 311 x 179 x 144 = 402259740480

Therefore, the lowest common multiple of 260,193,622,716,576 is 402259740480.

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 193 x 622 x 716 x 576 = 12872311695360

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

193 : 1, 193

622 : 1, 2, 311, 622

716 : 1, 2, 4, 179, 358, 716

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,193,622,716,576, is 1.

Now, the common factors can be found like this.

260:2x 2x 5x 13

193:193

622:2x 311

716:2x 2x 179

576:2x 2x 2x 2x 2x 2x 3x 3

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 2 = 32

Therefore, the value for common factors is 32.

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 = 12872311695360/(1x32)

LCM = 12872311695360/32

LCM = 402259740480

Thus, we can understand that the LCM of 260,193,622,716,576 is 402259740480.

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

• LCM of 875, 509, 348, 603, 210
• LCM of 693, 287, 297, 126, 152
• LCM of 838, 945, 102, 979, 509
• LCM of 375, 134, 853, 499, 380
• LCM of 744, 303, 528, 902, 858

1. What is the LCM of 260, 193, 622, 716, 576?

Answer: LCM of 260, 193, 622, 716, 576 is 402259740480.

2. How to calculate the LCM of 260, 193, 622, 716, 576?

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, 193, 622, 716, 576.

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}.