Given numbers are 402,867,726,444,441

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

The LCM of 402,867,726,444,441 is 152917898364.

Find LCM of 402,867,726,444,441 with Prime Factorization

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

2 x 3 x 67 x 289 x 121 x 74 x 147 = 152917898364

Therefore, the lowest common multiple of 402,867,726,444,441 is 152917898364.

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.

402 x 867 x 726 x 444 x 441 = 49545399069936

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.

402 : 1, 2, 3, 6, 67, 134, 201, 402

867 : 1, 3, 17, 51, 289, 867

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

441 : 1, 3, 7, 9, 21, 49, 63, 147, 441

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,867,726,444,441, is 3.

Now, the common factors can be found like this.

402:2x 3x 67

867:3x 17x 17

726:2x 3x 11x 11

444:2x 2x 3x 37

441:3x 3x 7x 7

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 = 49545399069936/(3x108)

LCM = 49545399069936/324

LCM = 152917898364

Thus, we can understand that the LCM of 402,867,726,444,441 is 152917898364.

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

• LCM of 336, 743, 806, 348, 186
• LCM of 821, 203, 558, 887, 718
• LCM of 965, 324, 355, 706, 682
• LCM of 870, 811, 911, 810, 296
• LCM of 747, 864, 770, 464, 922

1. What is the LCM of 402, 867, 726, 444, 441?

Answer: LCM of 402, 867, 726, 444, 441 is 152917898364.

2. How to calculate the LCM of 402, 867, 726, 444, 441?

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 402, 867, 726, 444, 441.

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}.