Given numbers are 580,319,908,440,377

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

The LCM of 580,319,908,440,377 is 37654760.

Find LCM of 580,319,908,440,377 with Prime Factorization

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

2 x 2 x 5 x 11 x 29 x 1 x 1 x 227 x 2 x 13 = 37654760

Therefore, the lowest common multiple of 580,319,908,440,377 is 37654760.

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.

580 x 319 x 908 x 440 x 377 = 27867534780800

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.

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

319 : 1, 11, 29, 319

908 : 1, 2, 4, 227, 454, 908

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

377 : 1, 13, 29, 377

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 580,319,908,440,377, is 1.

Now, the common factors can be found like this.

580:2x 2x 5x 29

319:11x 29

908:2x 2x 227

440:2x 2x 2x 5x 11

377:13x 29

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 2x 5x 11x 29x 29 = 740080

Therefore, the value for common factors is 740080.

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 = 27867534780800/(1x740080)

LCM = 27867534780800/740080

LCM = 37654760

Thus, we can understand that the LCM of 580,319,908,440,377 is 37654760.

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

• LCM of 217, 800, 681, 415, 174
• LCM of 954, 732, 974, 897, 612
• LCM of 615, 184, 267, 409, 660
• LCM of 946, 810, 713, 147, 317
• LCM of 160, 639, 959, 617, 767

1. What is the LCM of 580, 319, 908, 440, 377?

Answer: LCM of 580, 319, 908, 440, 377 is 37654760.

2. How to calculate the LCM of 580, 319, 908, 440, 377?

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 580, 319, 908, 440, 377.

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}.