Given numbers are 709,614,274,284,342

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

The LCM of 709,614,274,284,342 is 1448170272684.

Find LCM of 709,614,274,284,342 with Prime Factorization

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

2 x 709 x 307 x 137 x 142 x 171 = 1448170272684

Therefore, the lowest common multiple of 709,614,274,284,342 is 1448170272684.

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.

709 x 614 x 274 x 284 x 342 = 11585362181472

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.

709 : 1, 709

614 : 1, 2, 307, 614

274 : 1, 2, 137, 274

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

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 709,614,274,284,342, is 1.

Now, the common factors can be found like this.

709:709

614:2x 307

274:2x 137

284:2x 2x 71

342:2x 3x 3x 19

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 2 = 8

Therefore, the value for common factors is 8.

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 = 11585362181472/(1x8)

LCM = 11585362181472/8

LCM = 1448170272684

Thus, we can understand that the LCM of 709,614,274,284,342 is 1448170272684.

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

• LCM of 132, 759, 188, 355, 473
• LCM of 541, 259, 698, 444, 161
• LCM of 677, 361, 567, 709, 308
• LCM of 749, 701, 287, 800, 735
• LCM of 278, 885, 176, 326, 331

1. What is the LCM of 709, 614, 274, 284, 342?

Answer: LCM of 709, 614, 274, 284, 342 is 1448170272684.

2. How to calculate the LCM of 709, 614, 274, 284, 342?

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 709, 614, 274, 284, 342.

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}.