Given numbers are 290,442,770,747,715

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

The LCM of 290,442,770,747,715 is 3686392710.

Find LCM of 290,442,770,747,715 with Prime Factorization

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

2 x 5 x 11 x 13 x 29 x 17 x 7 x 747 x 1 = 3686392710

Therefore, the lowest common multiple of 290,442,770,747,715 is 3686392710.

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.

290 x 442 x 770 x 747 x 715 = 52715415753000

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.

290 : 1, 2, 5, 10, 29, 58, 145, 290

442 : 1, 2, 13, 17, 26, 34, 221, 442

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

747 : 1, 3, 9, 83, 249, 747

715 : 1, 5, 11, 13, 55, 65, 143, 715

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 290,442,770,747,715, is 1.

Now, the common factors can be found like this.

290:2x 5x 29

442:2x 13x 17

770:2x 5x 7x 11

747:3x 3x 83

715:5x 11x 13

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 5x 5x 11x 13 = 14300

Therefore, the value for common factors is 14300.

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 = 52715415753000/(1x14300)

LCM = 52715415753000/14300

LCM = 3686392710

Thus, we can understand that the LCM of 290,442,770,747,715 is 3686392710.

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

• LCM of 960, 575, 562, 252, 382
• LCM of 778, 989, 316, 241, 910
• LCM of 625, 588, 620, 198, 148
• LCM of 140, 430, 820, 765, 428
• LCM of 391, 904, 525, 156, 462

1. What is the LCM of 290, 442, 770, 747, 715?

Answer: LCM of 290, 442, 770, 747, 715 is 3686392710.

2. How to calculate the LCM of 290, 442, 770, 747, 715?

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 290, 442, 770, 747, 715.

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}.