Given numbers are 701,352,460,687

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

The LCM of 701,352,460,687 is 19494641760.

Find LCM of 701,352,460,687 with Prime Factorization

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

2 x 2 x 701 x 88 x 115 x 687 = 19494641760

Therefore, the lowest common multiple of 701,352,460,687 is 19494641760.

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.

701 x 352 x 460 x 687 = 77978567040

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.

701 : 1, 701

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

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 701,352,460,687, is 1.

Now, the common factors can be found like this.

701:701

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

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 2 = 4

Therefore, the value for common factors is 4.

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 = 77978567040/(1x4)

LCM = 77978567040/4

LCM = 19494641760

Thus, we can understand that the LCM of 701,352,460,687 is 19494641760.

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

• LCM of 101, 893, 859, 108
• LCM of 554, 499, 508, 701
• LCM of 841, 378, 750, 953
• LCM of 160, 598, 418, 989
• LCM of 494, 964, 410, 265

1. What is the LCM of 701, 352, 460, 687?

Answer: LCM of 701, 352, 460, 687 is 19494641760.

2. How to calculate the LCM of 701, 352, 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 701, 352, 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}.