Given numbers are 363,143,360,728

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

The LCM of 363,143,360,728 is 3963960.

Find LCM of 363,143,360,728 with Prime Factorization

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

2 x 2 x 2 x 3 x 11 x 13 x 11 x 1 x 15 x 7 = 3963960

Therefore, the lowest common multiple of 363,143,360,728 is 3963960.

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.

363 x 143 x 360 x 728 = 13604310720

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.

363 : 1, 3, 11, 33, 121, 363

143 : 1, 11, 13, 143

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

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,143,360,728, is 1.

Now, the common factors can be found like this.

363:3x 11x 11

143:11x 13

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

728:2x 2x 2x 7x 13

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 11x 13 = 3432

Therefore, the value for common factors is 3432.

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 = 13604310720/(1x3432)

LCM = 13604310720/3432

LCM = 3963960

Thus, we can understand that the LCM of 363,143,360,728 is 3963960.

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

• LCM of 427, 392, 179, 186
• LCM of 561, 903, 238, 712
• LCM of 551, 248, 899, 794
• LCM of 435, 923, 285, 352
• LCM of 890, 503, 950, 693

1. What is the LCM of 363, 143, 360, 728?

Answer: LCM of 363, 143, 360, 728 is 3963960.

2. How to calculate the LCM of 363, 143, 360, 728?

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 363, 143, 360, 728.

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}.