Given numbers are 580,452,214,780,116

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

The LCM of 580,452,214,780,116 is 273498420.

Find LCM of 580,452,214,780,116 with Prime Factorization

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

2 x 2 x 5 x 29 x 1 x 113 x 107 x 39 x 1 = 273498420

Therefore, the lowest common multiple of 580,452,214,780,116 is 273498420.

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 452 x 214 x 780 x 116 = 5076130675200

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

452 : 1, 2, 4, 113, 226, 452

214 : 1, 2, 107, 214

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

116 : 1, 2, 4, 29, 58, 116

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 580,452,214,780,116, is 2.

Now, the common factors can be found like this.

580:2x 2x 5x 29

452:2x 2x 113

214:2x 107

780:2x 2x 3x 5x 13

116:2x 2x 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 2x 2x 5x 29 = 9280

Therefore, the value for common factors is 9280.

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 = 5076130675200/(2x9280)

LCM = 5076130675200/18560

LCM = 273498420

Thus, we can understand that the LCM of 580,452,214,780,116 is 273498420.

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

• LCM of 666, 562, 937, 423, 195
• LCM of 352, 609, 218, 267, 871
• LCM of 245, 959, 732, 929, 830
• LCM of 934, 964, 329, 933, 457
• LCM of 970, 674, 904, 162, 264

1. What is the LCM of 580, 452, 214, 780, 116?

Answer: LCM of 580, 452, 214, 780, 116 is 273498420.

2. How to calculate the LCM of 580, 452, 214, 780, 116?

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, 452, 214, 780, 116.

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}.