Given numbers are 507,376,106,859,715

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

The LCM of 507,376,106,859,715 is 477339668520.

Find LCM of 507,376,106,859,715 with Prime Factorization

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

2 x 13 x 39 x 188 x 53 x 859 x 55 = 477339668520

Therefore, the lowest common multiple of 507,376,106,859,715 is 477339668520.

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.

507 x 376 x 106 x 859 x 715 = 12410831381520

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.

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

376 : 1, 2, 4, 8, 47, 94, 188, 376

106 : 1, 2, 53, 106

859 : 1, 859

715 : 1, 5, 11, 13, 55, 65, 143, 715

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,376,106,859,715, is 1.

Now, the common factors can be found like this.

507:3x 13x 13

376:2x 2x 2x 47

106:2x 53

859:859

715:5x 11x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 12410831381520/(1x26)

LCM = 12410831381520/26

LCM = 477339668520

Thus, we can understand that the LCM of 507,376,106,859,715 is 477339668520.

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

• LCM of 128, 822, 669, 385, 923
• LCM of 461, 375, 315, 385, 581
• LCM of 187, 742, 969, 682, 293
• LCM of 633, 681, 910, 237, 426
• LCM of 803, 744, 365, 276, 961

1. What is the LCM of 507, 376, 106, 859, 715?

Answer: LCM of 507, 376, 106, 859, 715 is 477339668520.

2. How to calculate the LCM of 507, 376, 106, 859, 715?

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 507, 376, 106, 859, 715.

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}.