Given numbers are 144,352,209,638,660

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

The LCM of 144,352,209,638,660 is 8727840.

Find LCM of 144,352,209,638,660 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 11 x 3 x 2 x 19 x 29 x 5 = 8727840

Therefore, the lowest common multiple of 144,352,209,638,660 is 8727840.

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.

144 x 352 x 209 x 638 x 660 = 4460833935360

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.

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

209 : 1, 11, 19, 209

638 : 1, 2, 11, 22, 29, 58, 319, 638

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 144,352,209,638,660, is 1.

Now, the common factors can be found like this.

144:2x 2x 2x 2x 3x 3

352:2x 2x 2x 2x 2x 11

209:11x 19

638:2x 11x 29

660:2x 2x 3x 5x 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 2x 3x 11x 11x 11 = 511104

Therefore, the value for common factors is 511104.

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 = 4460833935360/(1x511104)

LCM = 4460833935360/511104

LCM = 8727840

Thus, we can understand that the LCM of 144,352,209,638,660 is 8727840.

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

• LCM of 286, 377, 411, 951, 337
• LCM of 968, 656, 501, 126, 470
• LCM of 932, 768, 101, 618, 117
• LCM of 507, 985, 633, 939, 341
• LCM of 240, 700, 881, 122, 593

1. What is the LCM of 144, 352, 209, 638, 660?

Answer: LCM of 144, 352, 209, 638, 660 is 8727840.

2. How to calculate the LCM of 144, 352, 209, 638, 660?

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 144, 352, 209, 638, 660.

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}.