Given numbers are 268,115,391,960,634

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

The LCM of 268,115,391,960,634 is 7972271040.

Find LCM of 268,115,391,960,634 with Prime Factorization

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

2 x 2 x 5 x 23 x 67 x 1 x 17 x 48 x 317 = 7972271040

Therefore, the lowest common multiple of 268,115,391,960,634 is 7972271040.

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.

268 x 115 x 391 x 960 x 634 = 7334489356800

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.

268 : 1, 2, 4, 67, 134, 268

115 : 1, 5, 23, 115

391 : 1, 17, 23, 391

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

634 : 1, 2, 317, 634

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,115,391,960,634, is 1.

Now, the common factors can be found like this.

268:2x 2x 67

115:5x 23

391:17x 23

960:2x 2x 2x 2x 2x 2x 3x 5

634:2x 317

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 5x 23 = 920

Therefore, the value for common factors is 920.

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 = 7334489356800/(1x920)

LCM = 7334489356800/920

LCM = 7972271040

Thus, we can understand that the LCM of 268,115,391,960,634 is 7972271040.

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

• LCM of 325, 780, 436, 299, 947
• LCM of 811, 299, 934, 765, 539
• LCM of 396, 105, 647, 820, 841
• LCM of 253, 453, 224, 300, 398
• LCM of 710, 227, 393, 712, 675

1. What is the LCM of 268, 115, 391, 960, 634?

Answer: LCM of 268, 115, 391, 960, 634 is 7972271040.

2. How to calculate the LCM of 268, 115, 391, 960, 634?

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 268, 115, 391, 960, 634.

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}.