Given numbers are 675,436,852,996,132

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

The LCM of 675,436,852,996,132 is 19077408900.

Find LCM of 675,436,852,996,132 with Prime Factorization

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

2 x 2 x 3 x 225 x 109 x 71 x 83 x 11 = 19077408900

Therefore, the lowest common multiple of 675,436,852,996,132 is 19077408900.

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.

675 x 436 x 852 x 996 x 132 = 32965762579200

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.

675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

436 : 1, 2, 4, 109, 218, 436

852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 675,436,852,996,132, is 1.

Now, the common factors can be found like this.

675:3x 3x 3x 5x 5

436:2x 2x 109

852:2x 2x 3x 71

996:2x 2x 3x 83

132:2x 2x 3x 11

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 3x 3 = 1728

Therefore, the value for common factors is 1728.

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 = 32965762579200/(1x1728)

LCM = 32965762579200/1728

LCM = 19077408900

Thus, we can understand that the LCM of 675,436,852,996,132 is 19077408900.

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

• LCM of 887, 590, 906, 330, 244
• LCM of 230, 520, 614, 669, 181
• LCM of 742, 687, 736, 145, 224
• LCM of 421, 297, 103, 930, 733
• LCM of 605, 630, 111, 606, 726

1. What is the LCM of 675, 436, 852, 996, 132?

Answer: LCM of 675, 436, 852, 996, 132 is 19077408900.

2. How to calculate the LCM of 675, 436, 852, 996, 132?

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 675, 436, 852, 996, 132.

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}.