Given numbers are 644,702,174,273,414

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

The LCM of 644,702,174,273,414 is 6555276.

Find LCM of 644,702,174,273,414 with Prime Factorization

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

2 x 3 x 3 x 7 x 13 x 23 x 2 x 3 x 29 x 1 x 1 = 6555276

Therefore, the lowest common multiple of 644,702,174,273,414 is 6555276.

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.

644 x 702 x 174 x 273 x 414 = 8890684848864

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.

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

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

174 : 1, 2, 3, 6, 29, 58, 87, 174

273 : 1, 3, 7, 13, 21, 39, 91, 273

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 644,702,174,273,414, is 1.

Now, the common factors can be found like this.

644:2x 2x 7x 23

702:2x 3x 3x 3x 13

174:2x 3x 29

273:3x 7x 13

414:2x 3x 3x 23

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 3x 3x 3x 3x 7x 13x 23 = 1356264

Therefore, the value for common factors is 1356264.

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 = 8890684848864/(1x1356264)

LCM = 8890684848864/1356264

LCM = 6555276

Thus, we can understand that the LCM of 644,702,174,273,414 is 6555276.

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

• LCM of 924, 311, 518, 874, 917
• LCM of 720, 169, 882, 870, 835
• LCM of 458, 556, 840, 814, 433
• LCM of 593, 949, 874, 707, 164
• LCM of 586, 133, 218, 746, 982

1. What is the LCM of 644, 702, 174, 273, 414?

Answer: LCM of 644, 702, 174, 273, 414 is 6555276.

2. How to calculate the LCM of 644, 702, 174, 273, 414?

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 644, 702, 174, 273, 414.

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}.