Given numbers are 560,726,398,255

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

The LCM of 560,726,398,255 is 687696240.

Find LCM of 560,726,398,255 with Prime Factorization

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

2 x 3 x 5 x 56 x 121 x 199 x 17 = 687696240

Therefore, the lowest common multiple of 560,726,398,255 is 687696240.

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.

560 x 726 x 398 x 255 = 41261774400

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.

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

398 : 1, 2, 199, 398

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 560,726,398,255, is 1.

Now, the common factors can be found like this.

560:2x 2x 2x 2x 5x 7

726:2x 3x 11x 11

398:2x 199

255:3x 5x 17

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 5 = 60

Therefore, the value for common factors is 60.

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 = 41261774400/(1x60)

LCM = 41261774400/60

LCM = 687696240

Thus, we can understand that the LCM of 560,726,398,255 is 687696240.

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

• LCM of 244, 962, 864, 734
• LCM of 243, 555, 862, 798
• LCM of 338, 606, 738, 220
• LCM of 309, 814, 532, 669
• LCM of 426, 557, 480, 928

1. What is the LCM of 560, 726, 398, 255?

Answer: LCM of 560, 726, 398, 255 is 687696240.

2. How to calculate the LCM of 560, 726, 398, 255?

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 560, 726, 398, 255.

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}.