Given numbers are 634,224,209,916,270

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

The LCM of 634,224,209,916,270 is 458799374880.

Find LCM of 634,224,209,916,270 with Prime Factorization

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

2 x 2 x 317 x 56 x 209 x 229 x 135 = 458799374880

Therefore, the lowest common multiple of 634,224,209,916,270 is 458799374880.

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.

634 x 224 x 209 x 916 x 270 = 7340789998080

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.

634 : 1, 2, 317, 634

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

209 : 1, 11, 19, 209

916 : 1, 2, 4, 229, 458, 916

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 634,224,209,916,270, is 1.

Now, the common factors can be found like this.

634:2x 317

224:2x 2x 2x 2x 2x 7

209:11x 19

916:2x 2x 229

270:2x 3x 3x 3x 5

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 2 = 16

Therefore, the value for common factors is 16.

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 = 7340789998080/(1x16)

LCM = 7340789998080/16

LCM = 458799374880

Thus, we can understand that the LCM of 634,224,209,916,270 is 458799374880.

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

• LCM of 122, 784, 220, 949, 769
• LCM of 235, 268, 649, 979, 151
• LCM of 480, 164, 554, 631, 935
• LCM of 145, 284, 742, 733, 300
• LCM of 795, 695, 610, 600, 320

1. What is the LCM of 634, 224, 209, 916, 270?

Answer: LCM of 634, 224, 209, 916, 270 is 458799374880.

2. How to calculate the LCM of 634, 224, 209, 916, 270?

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 634, 224, 209, 916, 270.

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}.