Given numbers are 115,104,960,735

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

The LCM of 115,104,960,735 is 14064960.

Find LCM of 115,104,960,735 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 23 x 13 x 8 x 49 = 14064960

Therefore, the lowest common multiple of 115,104,960,735 is 14064960.

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.

115 x 104 x 960 x 735 = 8438976000

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.

115 : 1, 5, 23, 115

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

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 115,104,960,735, is 1.

Now, the common factors can be found like this.

115:5x 23

104:2x 2x 2x 13

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

735:3x 5x 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 3x 5x 5 = 600

Therefore, the value for common factors is 600.

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 = 8438976000/(1x600)

LCM = 8438976000/600

LCM = 14064960

Thus, we can understand that the LCM of 115,104,960,735 is 14064960.

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

• LCM of 845, 462, 870, 992
• LCM of 133, 583, 703, 553
• LCM of 565, 727, 649, 541
• LCM of 109, 719, 371, 585
• LCM of 665, 867, 920, 793

1. What is the LCM of 115, 104, 960, 735?

Answer: LCM of 115, 104, 960, 735 is 14064960.

2. How to calculate the LCM of 115, 104, 960, 735?

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 115, 104, 960, 735.

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}.