Given numbers are 802,360,729,129,231

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

The LCM of 802,360,729,129,231 is 38716052760.

Find LCM of 802,360,729,129,231 with Prime Factorization

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

2 x 3 x 3 x 401 x 20 x 81 x 43 x 77 = 38716052760

Therefore, the lowest common multiple of 802,360,729,129,231 is 38716052760.

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.

802 x 360 x 729 x 129 x 231 = 6272000547120

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.

802 : 1, 2, 401, 802

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

729 : 1, 3, 9, 27, 81, 243, 729

129 : 1, 3, 43, 129

231 : 1, 3, 7, 11, 21, 33, 77, 231

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 802,360,729,129,231, is 1.

Now, the common factors can be found like this.

802:2x 401

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

729:3x 3x 3x 3x 3x 3

129:3x 43

231:3x 7x 11

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 3x 3 = 162

Therefore, the value for common factors is 162.

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 = 6272000547120/(1x162)

LCM = 6272000547120/162

LCM = 38716052760

Thus, we can understand that the LCM of 802,360,729,129,231 is 38716052760.

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

• LCM of 106, 100, 718, 773, 557
• LCM of 889, 390, 492, 210, 247
• LCM of 760, 171, 556, 821, 745
• LCM of 119, 395, 768, 305, 298
• LCM of 380, 867, 440, 385, 869

1. What is the LCM of 802, 360, 729, 129, 231?

Answer: LCM of 802, 360, 729, 129, 231 is 38716052760.

2. How to calculate the LCM of 802, 360, 729, 129, 231?

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 802, 360, 729, 129, 231.

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}.