Given numbers are 307,345,553,395,610

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

The LCM of 307,345,553,395,610 is 7145661390.

Find LCM of 307,345,553,395,610 with Prime Factorization

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

5 x 79 x 307 x 69 x 7 x 1 x 122 = 7145661390

Therefore, the lowest common multiple of 307,345,553,395,610 is 7145661390.

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.

307 x 345 x 553 x 395 x 610 = 14112681245250

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.

307 : 1, 307

345 : 1, 3, 5, 15, 23, 69, 115, 345

553 : 1, 7, 79, 553

395 : 1, 5, 79, 395

610 : 1, 2, 5, 10, 61, 122, 305, 610

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 307,345,553,395,610, is 1.

Now, the common factors can be found like this.

307:307

345:3x 5x 23

553:7x 79

395:5x 79

610:2x 5x 61

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

5x 5x 79 = 1975

Therefore, the value for common factors is 1975.

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 = 14112681245250/(1x1975)

LCM = 14112681245250/1975

LCM = 7145661390

Thus, we can understand that the LCM of 307,345,553,395,610 is 7145661390.

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

• LCM of 707, 839, 266, 320, 926
• LCM of 243, 186, 559, 350, 292
• LCM of 640, 369, 869, 650, 550
• LCM of 574, 907, 166, 776, 659
• LCM of 409, 594, 373, 783, 811

1. What is the LCM of 307, 345, 553, 395, 610?

Answer: LCM of 307, 345, 553, 395, 610 is 7145661390.

2. How to calculate the LCM of 307, 345, 553, 395, 610?

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 307, 345, 553, 395, 610.

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}.