Given numbers are 156,702,361,324,714

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

The LCM of 156,702,361,324,714 is 180943308.

Find LCM of 156,702,361,324,714 with Prime Factorization

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

2 x 2 x 3 x 3 x 3 x 13 x 1 x 1 x 361 x 3 x 119 = 180943308

Therefore, the lowest common multiple of 156,702,361,324,714 is 180943308.

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.

156 x 702 x 361 x 324 x 714 = 9145598559552

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.

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

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

361 : 1, 19, 361

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 156,702,361,324,714, is 1.

Now, the common factors can be found like this.

156:2x 2x 3x 13

702:2x 3x 3x 3x 13

361:19x 19

324:2x 2x 3x 3x 3x 3

714:2x 3x 7x 17

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 2x 3x 3x 3x 3x 3x 13 = 50544

Therefore, the value for common factors is 50544.

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 = 9145598559552/(1x50544)

LCM = 9145598559552/50544

LCM = 180943308

Thus, we can understand that the LCM of 156,702,361,324,714 is 180943308.

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

• LCM of 488, 838, 827, 756, 759
• LCM of 947, 636, 835, 428, 156
• LCM of 647, 146, 202, 591, 223
• LCM of 991, 458, 262, 786, 378
• LCM of 863, 248, 745, 384, 300

1. What is the LCM of 156, 702, 361, 324, 714?

Answer: LCM of 156, 702, 361, 324, 714 is 180943308.

2. How to calculate the LCM of 156, 702, 361, 324, 714?

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 156, 702, 361, 324, 714.

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}.