Given numbers are 735,104,904,718,784

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

The LCM of 735,104,904,718,784 is 6201882960.

Find LCM of 735,104,904,718,784 with Prime Factorization

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

2 x 2 x 2 x 7 x 7 x 15 x 13 x 113 x 359 x 2 = 6201882960

Therefore, the lowest common multiple of 735,104,904,718,784 is 6201882960.

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.

735 x 104 x 904 x 718 x 784 = 38898209925120

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.

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

104 : 1, 2, 4, 8, 13, 26, 52, 104

904 : 1, 2, 4, 8, 113, 226, 452, 904

718 : 1, 2, 359, 718

784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,104,904,718,784, is 1.

Now, the common factors can be found like this.

735:3x 5x 7x 7

104:2x 2x 2x 13

904:2x 2x 2x 113

718:2x 359

784:2x 2x 2x 2x 7x 7

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 2x 2x 2x 7x 7 = 6272

Therefore, the value for common factors is 6272.

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 = 38898209925120/(1x6272)

LCM = 38898209925120/6272

LCM = 6201882960

Thus, we can understand that the LCM of 735,104,904,718,784 is 6201882960.

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

• LCM of 281, 194, 482, 701, 103
• LCM of 876, 148, 582, 187, 943
• LCM of 372, 363, 141, 283, 890
• LCM of 696, 567, 120, 555, 601
• LCM of 388, 792, 573, 607, 824

1. What is the LCM of 735, 104, 904, 718, 784?

Answer: LCM of 735, 104, 904, 718, 784 is 6201882960.

2. How to calculate the LCM of 735, 104, 904, 718, 784?

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 735, 104, 904, 718, 784.

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}.