Given numbers are 402,436,816,715,876

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

The LCM of 402,436,816,715,876 is 311042949360.

Find LCM of 402,436,816,715,876 with Prime Factorization

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

2 x 2 x 3 x 67 x 109 x 68 x 715 x 73 = 311042949360

Therefore, the lowest common multiple of 402,436,816,715,876 is 311042949360.

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.

402 x 436 x 816 x 715 x 876 = 89580369415680

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.

402 : 1, 2, 3, 6, 67, 134, 201, 402

436 : 1, 2, 4, 109, 218, 436

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

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

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,436,816,715,876, is 1.

Now, the common factors can be found like this.

402:2x 3x 67

436:2x 2x 109

816:2x 2x 2x 2x 3x 17

715:5x 11x 13

876:2x 2x 3x 73

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 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 89580369415680/(1x288)

LCM = 89580369415680/288

LCM = 311042949360

Thus, we can understand that the LCM of 402,436,816,715,876 is 311042949360.

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

• LCM of 528, 342, 832, 523, 827
• LCM of 298, 958, 437, 264, 451
• LCM of 984, 940, 916, 234, 916
• LCM of 171, 226, 238, 612, 734
• LCM of 783, 906, 458, 746, 703

1. What is the LCM of 402, 436, 816, 715, 876?

Answer: LCM of 402, 436, 816, 715, 876 is 311042949360.

2. How to calculate the LCM of 402, 436, 816, 715, 876?

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 402, 436, 816, 715, 876.

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}.