Given numbers are 728,208,182,403

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

The LCM of 728,208,182,403 is 45136.

Find LCM of 728,208,182,403 with Prime Factorization

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

2 x 2 x 2 x 7 x 13 x 1 x 2 x 1 x 31 = 45136

Therefore, the lowest common multiple of 728,208,182,403 is 45136.

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.

728 x 208 x 182 x 403 = 11106344704

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.

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

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

182 : 1, 2, 7, 13, 14, 26, 91, 182

403 : 1, 13, 31, 403

13 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,208,182,403, is 13.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

208:2x 2x 2x 2x 13

182:2x 7x 13

403:13x 31

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 2x 7x 13x 13 = 18928

Therefore, the value for common factors is 18928.

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 = 11106344704/(13x18928)

LCM = 11106344704/246064

LCM = 45136

Thus, we can understand that the LCM of 728,208,182,403 is 45136.

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

• LCM of 901, 652, 692, 478
• LCM of 376, 182, 718, 451
• LCM of 716, 604, 895, 648
• LCM of 790, 841, 441, 819
• LCM of 310, 119, 200, 687

1. What is the LCM of 728, 208, 182, 403?

Answer: LCM of 728, 208, 182, 403 is 45136.

2. How to calculate the LCM of 728, 208, 182, 403?

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 728, 208, 182, 403.

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}.