Given numbers are 930,261,698,284,686

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

The LCM of 930,261,698,284,686 is 1375340058540.

Find LCM of 930,261,698,284,686 with Prime Factorization

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

2 x 3 x 155 x 87 x 349 x 142 x 343 = 1375340058540

Therefore, the lowest common multiple of 930,261,698,284,686 is 1375340058540.

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.

930 x 261 x 698 x 284 x 686 = 33008161404960

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.

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

261 : 1, 3, 9, 29, 87, 261

698 : 1, 2, 349, 698

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

686 : 1, 2, 7, 14, 49, 98, 343, 686

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 930,261,698,284,686, is 1.

Now, the common factors can be found like this.

930:2x 3x 5x 31

261:3x 3x 29

698:2x 349

284:2x 2x 71

686:2x 7x 7x 7

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 3 = 24

Therefore, the value for common factors is 24.

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 = 33008161404960/(1x24)

LCM = 33008161404960/24

LCM = 1375340058540

Thus, we can understand that the LCM of 930,261,698,284,686 is 1375340058540.

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

• LCM of 324, 548, 293, 581, 563
• LCM of 614, 990, 436, 821, 809
• LCM of 511, 357, 445, 719, 710
• LCM of 454, 602, 754, 780, 350
• LCM of 589, 285, 996, 181, 222

1. What is the LCM of 930, 261, 698, 284, 686?

Answer: LCM of 930, 261, 698, 284, 686 is 1375340058540.

2. How to calculate the LCM of 930, 261, 698, 284, 686?

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 930, 261, 698, 284, 686.

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}.