Given numbers are 728,401,403,767

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

The LCM of 728,401,403,767 is 533936312.

Find LCM of 728,401,403,767 with Prime Factorization

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

13 x 56 x 401 x 31 x 59 = 533936312

Therefore, the lowest common multiple of 728,401,403,767 is 533936312.

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 401 x 403 x 767 = 90235236728

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

401 : 1, 401

403 : 1, 13, 31, 403

767 : 1, 13, 59, 767

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,401,403,767, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

401:401

403:13x 31

767:13x 59

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

13x 13 = 169

Therefore, the value for common factors is 169.

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 = 90235236728/(1x169)

LCM = 90235236728/169

LCM = 533936312

Thus, we can understand that the LCM of 728,401,403,767 is 533936312.

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

• LCM of 632, 151, 990, 608
• LCM of 963, 582, 569, 864
• LCM of 520, 321, 447, 162
• LCM of 534, 346, 404, 438
• LCM of 848, 121, 494, 661

1. What is the LCM of 728, 401, 403, 767?

Answer: LCM of 728, 401, 403, 767 is 533936312.

2. How to calculate the LCM of 728, 401, 403, 767?

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, 401, 403, 767.

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}.