Given numbers are 115,129,753,688,198

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

The LCM of 115,129,753,688,198 is 1966052880.

Find LCM of 115,129,753,688,198 with Prime Factorization

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

2 x 3 x 43 x 115 x 1 x 251 x 8 x 33 = 1966052880

Therefore, the lowest common multiple of 115,129,753,688,198 is 1966052880.

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.

115 x 129 x 753 x 688 x 198 = 1521724929120

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.

115 : 1, 5, 23, 115

129 : 1, 3, 43, 129

753 : 1, 3, 251, 753

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 115,129,753,688,198, is 1.

Now, the common factors can be found like this.

115:5x 23

129:3x 43

753:3x 251

688:2x 2x 2x 2x 43

198:2x 3x 3x 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 3x 3x 43 = 774

Therefore, the value for common factors is 774.

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 = 1521724929120/(1x774)

LCM = 1521724929120/774

LCM = 1966052880

Thus, we can understand that the LCM of 115,129,753,688,198 is 1966052880.

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

• LCM of 939, 414, 800, 375, 717
• LCM of 804, 728, 114, 331, 894
• LCM of 215, 657, 482, 763, 625
• LCM of 472, 849, 229, 383, 387
• LCM of 140, 397, 209, 573, 111

1. What is the LCM of 115, 129, 753, 688, 198?

Answer: LCM of 115, 129, 753, 688, 198 is 1966052880.

2. How to calculate the LCM of 115, 129, 753, 688, 198?

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 115, 129, 753, 688, 198.

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}.