Given numbers are 986,896,537,198,121

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

The LCM of 986,896,537,198,121 is 86106480768.

Find LCM of 986,896,537,198,121 with Prime Factorization

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

2 x 3 x 11 x 493 x 448 x 179 x 3 x 11 = 86106480768

Therefore, the lowest common multiple of 986,896,537,198,121 is 86106480768.

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.

986 x 896 x 537 x 198 x 121 = 11366055461376

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.

986 : 1, 2, 17, 29, 34, 58, 493, 986

896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

537 : 1, 3, 179, 537

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

121 : 1, 11, 121

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,896,537,198,121, is 1.

Now, the common factors can be found like this.

986:2x 17x 29

896:2x 2x 2x 2x 2x 2x 2x 7

537:3x 179

198:2x 3x 3x 11

121:11x 11

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 3x 11 = 132

Therefore, the value for common factors is 132.

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 = 11366055461376/(1x132)

LCM = 11366055461376/132

LCM = 86106480768

Thus, we can understand that the LCM of 986,896,537,198,121 is 86106480768.

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

• LCM of 994, 778, 285, 916, 329
• LCM of 971, 592, 786, 743, 963
• LCM of 584, 162, 660, 654, 889
• LCM of 796, 210, 622, 134, 647
• LCM of 991, 833, 109, 429, 839

1. What is the LCM of 986, 896, 537, 198, 121?

Answer: LCM of 986, 896, 537, 198, 121 is 86106480768.

2. How to calculate the LCM of 986, 896, 537, 198, 121?

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 986, 896, 537, 198, 121.

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}.