Given numbers are 702,958,172,284,464

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

The LCM of 702,958,172,284,464 is 238170196368.

Find LCM of 702,958,172,284,464 with Prime Factorization

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

2 x 2 x 351 x 479 x 43 x 71 x 116 = 238170196368

Therefore, the lowest common multiple of 702,958,172,284,464 is 238170196368.

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 958 x 172 x 284 x 464 = 15242892567552

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

958 : 1, 2, 479, 958

172 : 1, 2, 4, 43, 86, 172

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

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,958,172,284,464, is 2.

Now, the common factors can be found like this.

702:2x 3x 3x 3x 13

958:2x 479

172:2x 2x 43

284:2x 2x 71

464:2x 2x 2x 2x 29

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 2 = 32

Therefore, the value for common factors is 32.

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 = 15242892567552/(2x32)

LCM = 15242892567552/64

LCM = 238170196368

Thus, we can understand that the LCM of 702,958,172,284,464 is 238170196368.

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

• LCM of 750, 548, 537, 969, 924
• LCM of 962, 621, 191, 117, 807
• LCM of 780, 929, 743, 377, 527
• LCM of 236, 258, 816, 227, 371
• LCM of 123, 506, 675, 610, 735

1. What is the LCM of 702, 958, 172, 284, 464?

Answer: LCM of 702, 958, 172, 284, 464 is 238170196368.

2. How to calculate the LCM of 702, 958, 172, 284, 464?

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, 958, 172, 284, 464.

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}.