Given numbers are 360,411,934,770,942

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

The LCM of 360,411,934,770,942 is 278439167160.

Find LCM of 360,411,934,770,942 with Prime Factorization

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

2 x 3 x 5 x 12 x 137 x 467 x 77 x 157 = 278439167160

Therefore, the lowest common multiple of 360,411,934,770,942 is 278439167160.

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.

360 x 411 x 934 x 770 x 942 = 100238100177600

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.

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

411 : 1, 3, 137, 411

934 : 1, 2, 467, 934

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

942 : 1, 2, 3, 6, 157, 314, 471, 942

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 360,411,934,770,942, is 1.

Now, the common factors can be found like this.

360:2x 2x 2x 3x 3x 5

411:3x 137

934:2x 467

770:2x 5x 7x 11

942:2x 3x 157

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 3x 3x 5 = 360

Therefore, the value for common factors is 360.

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 = 100238100177600/(1x360)

LCM = 100238100177600/360

LCM = 278439167160

Thus, we can understand that the LCM of 360,411,934,770,942 is 278439167160.

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

• LCM of 204, 233, 543, 249, 424
• LCM of 634, 705, 961, 318, 596
• LCM of 732, 676, 671, 349, 929
• LCM of 877, 588, 771, 234, 565
• LCM of 803, 371, 814, 389, 815

1. What is the LCM of 360, 411, 934, 770, 942?

Answer: LCM of 360, 411, 934, 770, 942 is 278439167160.

2. How to calculate the LCM of 360, 411, 934, 770, 942?

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 360, 411, 934, 770, 942.

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}.