Given numbers are 361,700,414,710,590

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

The LCM of 361,700,414,710,590 is 219121982100.

Find LCM of 361,700,414,710,590 with Prime Factorization

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

2 x 5 x 361 x 70 x 207 x 71 x 59 = 219121982100

Therefore, the lowest common multiple of 361,700,414,710,590 is 219121982100.

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.

361 x 700 x 414 x 710 x 590 = 43824396420000

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.

361 : 1, 19, 361

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

710 : 1, 2, 5, 10, 71, 142, 355, 710

590 : 1, 2, 5, 10, 59, 118, 295, 590

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,700,414,710,590, is 1.

Now, the common factors can be found like this.

361:19x 19

700:2x 2x 5x 5x 7

414:2x 3x 3x 23

710:2x 5x 71

590:2x 5x 59

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 5x 5 = 200

Therefore, the value for common factors is 200.

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 = 43824396420000/(1x200)

LCM = 43824396420000/200

LCM = 219121982100

Thus, we can understand that the LCM of 361,700,414,710,590 is 219121982100.

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

• LCM of 554, 855, 606, 563, 993
• LCM of 889, 287, 926, 767, 135
• LCM of 179, 320, 403, 416, 988
• LCM of 810, 246, 375, 311, 518
• LCM of 951, 828, 389, 686, 280

1. What is the LCM of 361, 700, 414, 710, 590?

Answer: LCM of 361, 700, 414, 710, 590 is 219121982100.

2. How to calculate the LCM of 361, 700, 414, 710, 590?

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 361, 700, 414, 710, 590.

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}.