Given numbers are 114,434,862,702,352

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

The LCM of 114,434,862,702,352 is 219553510176.

Find LCM of 114,434,862,702,352 with Prime Factorization

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

2 x 3 x 19 x 217 x 431 x 117 x 176 = 219553510176

Therefore, the lowest common multiple of 114,434,862,702,352 is 219553510176.

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.

114 x 434 x 862 x 702 x 352 = 10538568488448

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.

114 : 1, 2, 3, 6, 19, 38, 57, 114

434 : 1, 2, 7, 14, 31, 62, 217, 434

862 : 1, 2, 431, 862

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 114,434,862,702,352, is 2.

Now, the common factors can be found like this.

114:2x 3x 19

434:2x 7x 31

862:2x 431

702:2x 3x 3x 3x 13

352:2x 2x 2x 2x 2x 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 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 10538568488448/(2x24)

LCM = 10538568488448/48

LCM = 219553510176

Thus, we can understand that the LCM of 114,434,862,702,352 is 219553510176.

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

• LCM of 139, 794, 937, 712, 813
• LCM of 874, 580, 797, 729, 552
• LCM of 724, 870, 393, 245, 142
• LCM of 723, 101, 895, 992, 353
• LCM of 833, 849, 284, 432, 909

1. What is the LCM of 114, 434, 862, 702, 352?

Answer: LCM of 114, 434, 862, 702, 352 is 219553510176.

2. How to calculate the LCM of 114, 434, 862, 702, 352?

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 114, 434, 862, 702, 352.

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}.