Given numbers are 635,735,795,880,368

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

The LCM of 635,735,795,880,368 is 20026609680.

Find LCM of 635,735,795,880,368 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 5 x 127 x 49 x 53 x 11 x 23 = 20026609680

Therefore, the lowest common multiple of 635,735,795,880,368 is 20026609680.

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.

635 x 735 x 795 x 880 x 368 = 120159658080000

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.

635 : 1, 5, 127, 635

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

795 : 1, 3, 5, 15, 53, 159, 265, 795

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 635,735,795,880,368, is 1.

Now, the common factors can be found like this.

635:5x 127

735:3x 5x 7x 7

795:3x 5x 53

880:2x 2x 2x 2x 5x 11

368:2x 2x 2x 2x 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 2x 2x 3x 5x 5x 5 = 6000

Therefore, the value for common factors is 6000.

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 = 120159658080000/(1x6000)

LCM = 120159658080000/6000

LCM = 20026609680

Thus, we can understand that the LCM of 635,735,795,880,368 is 20026609680.

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

• LCM of 504, 536, 603, 663, 983
• LCM of 397, 993, 441, 255, 213
• LCM of 410, 296, 491, 219, 462
• LCM of 720, 977, 348, 768, 901
• LCM of 492, 280, 924, 991, 599

1. What is the LCM of 635, 735, 795, 880, 368?

Answer: LCM of 635, 735, 795, 880, 368 is 20026609680.

2. How to calculate the LCM of 635, 735, 795, 880, 368?

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 635, 735, 795, 880, 368.

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}.