Given numbers are 389,818,270,346,728

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

The LCM of 389,818,270,346,728 is 2705105206440.

Find LCM of 389,818,270,346,728 with Prime Factorization

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

2 x 389 x 409 x 135 x 173 x 364 = 2705105206440

Therefore, the lowest common multiple of 389,818,270,346,728 is 2705105206440.

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.

389 x 818 x 270 x 346 x 728 = 21640841651520

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.

389 : 1, 389

818 : 1, 2, 409, 818

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

346 : 1, 2, 173, 346

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 389,818,270,346,728, is 1.

Now, the common factors can be found like this.

389:389

818:2x 409

270:2x 3x 3x 3x 5

346:2x 173

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 2 = 8

Therefore, the value for common factors is 8.

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 = 21640841651520/(1x8)

LCM = 21640841651520/8

LCM = 2705105206440

Thus, we can understand that the LCM of 389,818,270,346,728 is 2705105206440.

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

• LCM of 571, 810, 321, 738, 223
• LCM of 377, 965, 146, 340, 629
• LCM of 257, 675, 211, 190, 347
• LCM of 726, 474, 719, 483, 148
• LCM of 237, 216, 687, 526, 526

1. What is the LCM of 389, 818, 270, 346, 728?

Answer: LCM of 389, 818, 270, 346, 728 is 2705105206440.

2. How to calculate the LCM of 389, 818, 270, 346, 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 389, 818, 270, 346, 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}.