Given numbers are 402,362,858,415,702

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

The LCM of 402,362,858,415,702 is 38862548010.

Find LCM of 402,362,858,415,702 with Prime Factorization

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

2 x 3 x 13 x 67 x 181 x 11 x 415 x 9 = 38862548010

Therefore, the lowest common multiple of 402,362,858,415,702 is 38862548010.

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 362 x 858 x 415 x 702 = 36375344937360

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

362 : 1, 2, 181, 362

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

415 : 1, 5, 83, 415

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,362,858,415,702, is 1.

Now, the common factors can be found like this.

402:2x 3x 67

362:2x 181

858:2x 3x 11x 13

415:5x 83

702:2x 3x 3x 3x 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 2x 2x 3x 3x 13 = 936

Therefore, the value for common factors is 936.

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 = 36375344937360/(1x936)

LCM = 36375344937360/936

LCM = 38862548010

Thus, we can understand that the LCM of 402,362,858,415,702 is 38862548010.

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

• LCM of 819, 611, 254, 188, 233
• LCM of 991, 890, 189, 176, 250
• LCM of 726, 201, 217, 299, 633
• LCM of 544, 632, 968, 113, 852
• LCM of 191, 540, 865, 619, 933

1. What is the LCM of 402, 362, 858, 415, 702?

Answer: LCM of 402, 362, 858, 415, 702 is 38862548010.

2. How to calculate the LCM of 402, 362, 858, 415, 702?

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, 362, 858, 415, 702.

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}.