Given numbers are 702,138,642,856,352

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

The LCM of 702,138,642,856,352 is 304061472.

Find LCM of 702,138,642,856,352 with Prime Factorization

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

2 x 2 x 2 x 3 x 107 x 117 x 23 x 1 x 1 x 44 = 304061472

Therefore, the lowest common multiple of 702,138,642,856,352 is 304061472.

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.

702 x 138 x 642 x 856 x 352 = 18739916642304

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.

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

138 : 1, 2, 3, 6, 23, 46, 69, 138

642 : 1, 2, 3, 6, 107, 214, 321, 642

856 : 1, 2, 4, 8, 107, 214, 428, 856

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 702,138,642,856,352, is 2.

Now, the common factors can be found like this.

702:2x 3x 3x 3x 13

138:2x 3x 23

642:2x 3x 107

856:2x 2x 2x 107

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 2x 2x 3x 3x 107 = 30816

Therefore, the value for common factors is 30816.

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 = 18739916642304/(2x30816)

LCM = 18739916642304/61632

LCM = 304061472

Thus, we can understand that the LCM of 702,138,642,856,352 is 304061472.

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

• LCM of 431, 811, 492, 178, 458
• LCM of 423, 366, 260, 169, 125
• LCM of 309, 907, 386, 704, 313
• LCM of 861, 251, 886, 831, 155
• LCM of 401, 520, 131, 976, 280

1. What is the LCM of 702, 138, 642, 856, 352?

Answer: LCM of 702, 138, 642, 856, 352 is 304061472.

2. How to calculate the LCM of 702, 138, 642, 856, 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 702, 138, 642, 856, 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}.