Given numbers are 705,858,660,319,974

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

The LCM of 705,858,660,319,974 is 5695240980.

Find LCM of 705,858,660,319,974 with Prime Factorization

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

2 x 3 x 5 x 11 x 47 x 13 x 2 x 29 x 487 = 5695240980

Therefore, the lowest common multiple of 705,858,660,319,974 is 5695240980.

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.

705 x 858 x 660 x 319 x 974 = 124042348544400

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.

705 : 1, 3, 5, 15, 47, 141, 235, 705

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

319 : 1, 11, 29, 319

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,858,660,319,974, is 1.

Now, the common factors can be found like this.

705:3x 5x 47

858:2x 3x 11x 13

660:2x 2x 3x 5x 11

319:11x 29

974:2x 487

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 3x 3x 5x 11x 11 = 21780

Therefore, the value for common factors is 21780.

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 = 124042348544400/(1x21780)

LCM = 124042348544400/21780

LCM = 5695240980

Thus, we can understand that the LCM of 705,858,660,319,974 is 5695240980.

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

• LCM of 272, 119, 446, 986, 503
• LCM of 885, 831, 390, 652, 784
• LCM of 389, 487, 777, 662, 487
• LCM of 735, 395, 290, 460, 270
• LCM of 855, 375, 182, 611, 416

1. What is the LCM of 705, 858, 660, 319, 974?

Answer: LCM of 705, 858, 660, 319, 974 is 5695240980.

2. How to calculate the LCM of 705, 858, 660, 319, 974?

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 705, 858, 660, 319, 974.

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}.