Given numbers are 255,838,528,247,690

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

The LCM of 255,838,528,247,690 is 106829614320.

Find LCM of 255,838,528,247,690 with Prime Factorization

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

2 x 3 x 5 x 17 x 419 x 88 x 247 x 23 = 106829614320

Therefore, the lowest common multiple of 255,838,528,247,690 is 106829614320.

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.

255 x 838 x 528 x 247 x 690 = 19229330577600

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.

255 : 1, 3, 5, 15, 17, 51, 85, 255

838 : 1, 2, 419, 838

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

247 : 1, 13, 19, 247

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 255,838,528,247,690, is 1.

Now, the common factors can be found like this.

255:3x 5x 17

838:2x 419

528:2x 2x 2x 2x 3x 11

247:13x 19

690:2x 3x 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 3x 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 19229330577600/(1x180)

LCM = 19229330577600/180

LCM = 106829614320

Thus, we can understand that the LCM of 255,838,528,247,690 is 106829614320.

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

• LCM of 792, 231, 796, 552, 564
• LCM of 462, 532, 301, 509, 192
• LCM of 298, 414, 955, 464, 454
• LCM of 714, 614, 326, 981, 255
• LCM of 406, 647, 468, 542, 507

1. What is the LCM of 255, 838, 528, 247, 690?

Answer: LCM of 255, 838, 528, 247, 690 is 106829614320.

2. How to calculate the LCM of 255, 838, 528, 247, 690?

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 255, 838, 528, 247, 690.

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}.