Given numbers are 519,498,678,849,120

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

The LCM of 519,498,678,849,120 is 55102375320.

Find LCM of 519,498,678,849,120 with Prime Factorization

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

2 x 3 x 173 x 83 x 113 x 283 x 20 = 55102375320

Therefore, the lowest common multiple of 519,498,678,849,120 is 55102375320.

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.

519 x 498 x 678 x 849 x 120 = 17853169603680

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.

519 : 1, 3, 173, 519

498 : 1, 2, 3, 6, 83, 166, 249, 498

678 : 1, 2, 3, 6, 113, 226, 339, 678

849 : 1, 3, 283, 849

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 519,498,678,849,120, is 3.

Now, the common factors can be found like this.

519:3x 173

498:2x 3x 83

678:2x 3x 113

849:3x 283

120:2x 2x 2x 3x 5

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 3 = 108

Therefore, the value for common factors is 108.

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 = 17853169603680/(3x108)

LCM = 17853169603680/324

LCM = 55102375320

Thus, we can understand that the LCM of 519,498,678,849,120 is 55102375320.

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

• LCM of 452, 321, 380, 531, 775
• LCM of 188, 654, 496, 471, 630
• LCM of 114, 810, 946, 157, 274
• LCM of 768, 520, 591, 512, 116
• LCM of 322, 772, 916, 225, 826

1. What is the LCM of 519, 498, 678, 849, 120?

Answer: LCM of 519, 498, 678, 849, 120 is 55102375320.

2. How to calculate the LCM of 519, 498, 678, 849, 120?

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 519, 498, 678, 849, 120.

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}.