Given numbers are 961,204,742,638,416

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

The LCM of 961,204,742,638,416 is 2412967581024.

Find LCM of 961,204,742,638,416 with Prime Factorization

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

2 x 2 x 961 x 51 x 371 x 319 x 104 = 2412967581024

Therefore, the lowest common multiple of 961,204,742,638,416 is 2412967581024.

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.

961 x 204 x 742 x 638 x 416 = 38607481296384

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.

961 : 1, 31, 961

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

742 : 1, 2, 7, 14, 53, 106, 371, 742

638 : 1, 2, 11, 22, 29, 58, 319, 638

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 961,204,742,638,416, is 1.

Now, the common factors can be found like this.

961:31x 31

204:2x 2x 3x 17

742:2x 7x 53

638:2x 11x 29

416:2x 2x 2x 2x 2x 13

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 = 38607481296384/(1x16)

LCM = 38607481296384/16

LCM = 2412967581024

Thus, we can understand that the LCM of 961,204,742,638,416 is 2412967581024.

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

• LCM of 715, 159, 557, 491, 449
• LCM of 896, 444, 882, 695, 549
• LCM of 148, 495, 395, 919, 260
• LCM of 912, 728, 164, 267, 529
• LCM of 340, 641, 823, 225, 871

1. What is the LCM of 961, 204, 742, 638, 416?

Answer: LCM of 961, 204, 742, 638, 416 is 2412967581024.

2. How to calculate the LCM of 961, 204, 742, 638, 416?

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 961, 204, 742, 638, 416.

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}.