Given numbers are 104,285,132,972,724

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

The LCM of 104,285,132,972,724 is 4780072440.

Find LCM of 104,285,132,972,724 with Prime Factorization

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

2 x 2 x 3 x 26 x 95 x 11 x 81 x 181 = 4780072440

Therefore, the lowest common multiple of 104,285,132,972,724 is 4780072440.

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.

104 x 285 x 132 x 972 x 724 = 2753321725440

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.

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

285 : 1, 3, 5, 15, 19, 57, 95, 285

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

724 : 1, 2, 4, 181, 362, 724

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 104,285,132,972,724, is 1.

Now, the common factors can be found like this.

104:2x 2x 2x 13

285:3x 5x 19

132:2x 2x 3x 11

972:2x 2x 3x 3x 3x 3x 3

724:2x 2x 181

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 3x 3 = 576

Therefore, the value for common factors is 576.

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 = 2753321725440/(1x576)

LCM = 2753321725440/576

LCM = 4780072440

Thus, we can understand that the LCM of 104,285,132,972,724 is 4780072440.

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

• LCM of 592, 941, 757, 605, 124
• LCM of 477, 364, 779, 463, 770
• LCM of 187, 506, 699, 708, 797
• LCM of 814, 736, 472, 494, 710
• LCM of 779, 725, 996, 961, 582

1. What is the LCM of 104, 285, 132, 972, 724?

Answer: LCM of 104, 285, 132, 972, 724 is 4780072440.

2. How to calculate the LCM of 104, 285, 132, 972, 724?

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 104, 285, 132, 972, 724.

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}.