Given numbers are 493,970,983,107,776

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

The LCM of 493,970,983,107,776 is 201194424040.

Find LCM of 493,970,983,107,776 with Prime Factorization

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

2 x 97 x 493 x 5 x 983 x 107 x 4 = 201194424040

Therefore, the lowest common multiple of 493,970,983,107,776 is 201194424040.

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.

493 x 970 x 983 x 107 x 776 = 39031718263760

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.

493 : 1, 17, 29, 493

970 : 1, 2, 5, 10, 97, 194, 485, 970

983 : 1, 983

107 : 1, 107

776 : 1, 2, 4, 8, 97, 194, 388, 776

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,970,983,107,776, is 1.

Now, the common factors can be found like this.

493:17x 29

970:2x 5x 97

983:983

107:107

776:2x 2x 2x 97

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

2x 97 = 194

Therefore, the value for common factors is 194.

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 = 39031718263760/(1x194)

LCM = 39031718263760/194

LCM = 201194424040

Thus, we can understand that the LCM of 493,970,983,107,776 is 201194424040.

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

• LCM of 814, 635, 287, 822, 823
• LCM of 594, 864, 123, 218, 982
• LCM of 245, 833, 746, 820, 939
• LCM of 566, 912, 191, 272, 306
• LCM of 864, 923, 798, 521, 264

1. What is the LCM of 493, 970, 983, 107, 776?

Answer: LCM of 493, 970, 983, 107, 776 is 201194424040.

2. How to calculate the LCM of 493, 970, 983, 107, 776?

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 493, 970, 983, 107, 776.

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}.