Given numbers are 224,272,703,729,460

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

The LCM of 224,272,703,729,460 is 224428307040.

Find LCM of 224,272,703,729,460 with Prime Factorization

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

2 x 2 x 2 x 2 x 14 x 17 x 703 x 729 x 115 = 224428307040

Therefore, the lowest common multiple of 224,272,703,729,460 is 224428307040.

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.

224 x 272 x 703 x 729 x 460 = 14363411650560

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.

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

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

703 : 1, 19, 37, 703

729 : 1, 3, 9, 27, 81, 243, 729

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 224,272,703,729,460, is 1.

Now, the common factors can be found like this.

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

272:2x 2x 2x 2x 17

703:19x 37

729:3x 3x 3x 3x 3x 3

460:2x 2x 5x 23

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 2 = 64

Therefore, the value for common factors is 64.

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 = 14363411650560/(1x64)

LCM = 14363411650560/64

LCM = 224428307040

Thus, we can understand that the LCM of 224,272,703,729,460 is 224428307040.

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

• LCM of 982, 937, 575, 353, 923
• LCM of 483, 624, 485, 973, 193
• LCM of 984, 741, 506, 637, 338
• LCM of 960, 869, 228, 726, 282
• LCM of 281, 350, 252, 245, 396

1. What is the LCM of 224, 272, 703, 729, 460?

Answer: LCM of 224, 272, 703, 729, 460 is 224428307040.

2. How to calculate the LCM of 224, 272, 703, 729, 460?

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 224, 272, 703, 729, 460.

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}.