Given numbers are 870,507,486,656,697

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

The LCM of 870,507,486,656,697 is 66406981680.

Find LCM of 870,507,486,656,697 with Prime Factorization

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

2 x 3 x 41 x 145 x 169 x 81 x 8 x 17 = 66406981680

Therefore, the lowest common multiple of 870,507,486,656,697 is 66406981680.

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.

870 x 507 x 486 x 656 x 697 = 98016704959680

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.

870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

507 : 1, 3, 13, 39, 169, 507

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656

697 : 1, 17, 41, 697

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 870,507,486,656,697, is 1.

Now, the common factors can be found like this.

870:2x 3x 5x 29

507:3x 13x 13

486:2x 3x 3x 3x 3x 3

656:2x 2x 2x 2x 41

697:17x 41

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 3x 41 = 1476

Therefore, the value for common factors is 1476.

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 = 98016704959680/(1x1476)

LCM = 98016704959680/1476

LCM = 66406981680

Thus, we can understand that the LCM of 870,507,486,656,697 is 66406981680.

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

• LCM of 618, 432, 601, 924, 782
• LCM of 610, 746, 403, 940, 938
• LCM of 967, 419, 560, 250, 243
• LCM of 980, 216, 998, 708, 593
• LCM of 802, 935, 731, 761, 903

1. What is the LCM of 870, 507, 486, 656, 697?

Answer: LCM of 870, 507, 486, 656, 697 is 66406981680.

2. How to calculate the LCM of 870, 507, 486, 656, 697?

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 870, 507, 486, 656, 697.

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}.