Given numbers are 558,192,960,395

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

The LCM of 558,192,960,395 is 7053120.

Find LCM of 558,192,960,395 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 93 x 1 x 1 x 79 = 7053120

Therefore, the lowest common multiple of 558,192,960,395 is 7053120.

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.

558 x 192 x 960 x 395 = 40625971200

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.

558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

395 : 1, 5, 79, 395

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 558,192,960,395, is 1.

Now, the common factors can be found like this.

558:2x 3x 3x 31

192:2x 2x 2x 2x 2x 2x 3

960:2x 2x 2x 2x 2x 2x 3x 5

395:5x 79

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 2x 3x 3x 5 = 5760

Therefore, the value for common factors is 5760.

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 = 40625971200/(1x5760)

LCM = 40625971200/5760

LCM = 7053120

Thus, we can understand that the LCM of 558,192,960,395 is 7053120.

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

• LCM of 635, 739, 769, 557
• LCM of 864, 577, 777, 335
• LCM of 932, 683, 832, 799
• LCM of 858, 626, 858, 111
• LCM of 263, 383, 806, 800

1. What is the LCM of 558, 192, 960, 395?

Answer: LCM of 558, 192, 960, 395 is 7053120.

2. How to calculate the LCM of 558, 192, 960, 395?

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 558, 192, 960, 395.

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}.