Given numbers are 680,508,270,357,575

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

The LCM of 680,508,270,357,575 is 1877034600.

Find LCM of 680,508,270,357,575 with Prime Factorization

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

2 x 2 x 3 x 5 x 17 x 2 x 127 x 9 x 7 x 115 = 1877034600

Therefore, the lowest common multiple of 680,508,270,357,575 is 1877034600.

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.

680 x 508 x 270 x 357 x 575 = 19145752920000

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.

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

508 : 1, 2, 4, 127, 254, 508

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

357 : 1, 3, 7, 17, 21, 51, 119, 357

575 : 1, 5, 23, 25, 115, 575

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 680,508,270,357,575, is 1.

Now, the common factors can be found like this.

680:2x 2x 2x 5x 17

508:2x 2x 127

270:2x 3x 3x 3x 5

357:3x 7x 17

575:5x 5x 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 5x 5x 17 = 10200

Therefore, the value for common factors is 10200.

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 = 19145752920000/(1x10200)

LCM = 19145752920000/10200

LCM = 1877034600

Thus, we can understand that the LCM of 680,508,270,357,575 is 1877034600.

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

• LCM of 453, 183, 701, 891, 565
• LCM of 855, 402, 288, 370, 296
• LCM of 663, 361, 501, 852, 309
• LCM of 498, 383, 939, 922, 996
• LCM of 469, 527, 579, 689, 285

1. What is the LCM of 680, 508, 270, 357, 575?

Answer: LCM of 680, 508, 270, 357, 575 is 1877034600.

2. How to calculate the LCM of 680, 508, 270, 357, 575?

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 680, 508, 270, 357, 575.

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}.