Given numbers are 102,936,998,917,646

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

The LCM of 102,936,998,917,646 is 138340153224.

Find LCM of 102,936,998,917,646 with Prime Factorization

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

2 x 3 x 17 x 1 x 156 x 499 x 917 x 19 = 138340153224

Therefore, the lowest common multiple of 102,936,998,917,646 is 138340153224.

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.

102 x 936 x 998 x 917 x 646 = 56442782515392

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.

102 : 1, 2, 3, 6, 17, 34, 51, 102

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

998 : 1, 2, 499, 998

917 : 1, 7, 131, 917

646 : 1, 2, 17, 19, 34, 38, 323, 646

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 102,936,998,917,646, is 1.

Now, the common factors can be found like this.

102:2x 3x 17

936:2x 2x 2x 3x 3x 13

998:2x 499

917:7x 131

646:2x 17x 19

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 17 = 408

Therefore, the value for common factors is 408.

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 = 56442782515392/(1x408)

LCM = 56442782515392/408

LCM = 138340153224

Thus, we can understand that the LCM of 102,936,998,917,646 is 138340153224.

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

• LCM of 283, 871, 484, 568, 819
• LCM of 722, 554, 697, 205, 993
• LCM of 190, 896, 565, 984, 518
• LCM of 516, 195, 308, 552, 817
• LCM of 838, 906, 425, 397, 275

1. What is the LCM of 102, 936, 998, 917, 646?

Answer: LCM of 102, 936, 998, 917, 646 is 138340153224.

2. How to calculate the LCM of 102, 936, 998, 917, 646?

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 102, 936, 998, 917, 646.

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}.