Given numbers are 282,671,678,413

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

The LCM of 282,671,678,413 is 8830801518.

Find LCM of 282,671,678,413 with Prime Factorization

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

2 x 3 x 47 x 671 x 113 x 413 = 8830801518

Therefore, the lowest common multiple of 282,671,678,413 is 8830801518.

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.

282 x 671 x 678 x 413 = 52984809108

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.

282 : 1, 2, 3, 6, 47, 94, 141, 282

671 : 1, 11, 61, 671

678 : 1, 2, 3, 6, 113, 226, 339, 678

413 : 1, 7, 59, 413

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,671,678,413, is 1.

Now, the common factors can be found like this.

282:2x 3x 47

671:11x 61

678:2x 3x 113

413:7x 59

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 52984809108/(1x6)

LCM = 52984809108/6

LCM = 8830801518

Thus, we can understand that the LCM of 282,671,678,413 is 8830801518.

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

• LCM of 784, 123, 277, 747
• LCM of 971, 315, 977, 135
• LCM of 132, 902, 872, 942
• LCM of 376, 932, 123, 915
• LCM of 438, 823, 826, 855

1. What is the LCM of 282, 671, 678, 413?

Answer: LCM of 282, 671, 678, 413 is 8830801518.

2. How to calculate the LCM of 282, 671, 678, 413?

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 282, 671, 678, 413.

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}.