Given numbers are 117,669,224,460,687

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

The LCM of 117,669,224,460,687 is 153911852640.

Find LCM of 117,669,224,460,687 with Prime Factorization

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

2 x 2 x 3 x 39 x 223 x 56 x 115 x 229 = 153911852640

Therefore, the lowest common multiple of 117,669,224,460,687 is 153911852640.

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.

117 x 669 x 224 x 460 x 687 = 5540826695040

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.

117 : 1, 3, 9, 13, 39, 117

669 : 1, 3, 223, 669

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

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

687 : 1, 3, 229, 687

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 117,669,224,460,687, is 1.

Now, the common factors can be found like this.

117:3x 3x 13

669:3x 223

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

460:2x 2x 5x 23

687:3x 229

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 5540826695040/(1x36)

LCM = 5540826695040/36

LCM = 153911852640

Thus, we can understand that the LCM of 117,669,224,460,687 is 153911852640.

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

• LCM of 114, 869, 643, 391, 114
• LCM of 827, 171, 955, 628, 885
• LCM of 485, 581, 296, 357, 120
• LCM of 583, 269, 938, 677, 728
• LCM of 671, 140, 264, 733, 759

1. What is the LCM of 117, 669, 224, 460, 687?

Answer: LCM of 117, 669, 224, 460, 687 is 153911852640.

2. How to calculate the LCM of 117, 669, 224, 460, 687?

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 117, 669, 224, 460, 687.

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}.