Given numbers are 117,149,629,318,284

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

The LCM of 117,149,629,318,284 is 165050553564.

Find LCM of 117,149,629,318,284 with Prime Factorization

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

2 x 3 x 39 x 149 x 629 x 53 x 142 = 165050553564

Therefore, the lowest common multiple of 117,149,629,318,284 is 165050553564.

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.

117 x 149 x 629 x 318 x 284 = 990303321384

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.

117 : 1, 3, 9, 13, 39, 117

149 : 1, 149

629 : 1, 17, 37, 629

318 : 1, 2, 3, 6, 53, 106, 159, 318

284 : 1, 2, 4, 71, 142, 284

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 117,149,629,318,284, is 1.

Now, the common factors can be found like this.

117:3x 3x 13

149:149

629:17x 37

318:2x 3x 53

284:2x 2x 71

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 = 990303321384/(1x6)

LCM = 990303321384/6

LCM = 165050553564

Thus, we can understand that the LCM of 117,149,629,318,284 is 165050553564.

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

• LCM of 388, 838, 605, 730, 824
• LCM of 146, 804, 355, 343, 802
• LCM of 201, 256, 865, 774, 419
• LCM of 231, 830, 469, 796, 158
• LCM of 879, 179, 992, 524, 362

1. What is the LCM of 117, 149, 629, 318, 284?

Answer: LCM of 117, 149, 629, 318, 284 is 165050553564.

2. How to calculate the LCM of 117, 149, 629, 318, 284?

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 117, 149, 629, 318, 284.

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}.