Given numbers are 728,110,236,218

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

The LCM of 728,110,236,218 is 257497240.

Find LCM of 728,110,236,218 with Prime Factorization

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

2 x 2 x 182 x 55 x 59 x 109 = 257497240

Therefore, the lowest common multiple of 728,110,236,218 is 257497240.

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 110 x 236 x 218 = 4119955840

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

110 : 1, 2, 5, 10, 11, 22, 55, 110

236 : 1, 2, 4, 59, 118, 236

218 : 1, 2, 109, 218

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,110,236,218, is 2.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

110:2x 5x 11

236:2x 2x 59

218:2x 109

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 = 4119955840/(2x8)

LCM = 4119955840/16

LCM = 257497240

Thus, we can understand that the LCM of 728,110,236,218 is 257497240.

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

• LCM of 980, 695, 314, 124
• LCM of 759, 309, 429, 380
• LCM of 155, 555, 698, 823
• LCM of 317, 350, 791, 709
• LCM of 689, 967, 972, 416

1. What is the LCM of 728, 110, 236, 218?

Answer: LCM of 728, 110, 236, 218 is 257497240.

2. How to calculate the LCM of 728, 110, 236, 218?

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, 110, 236, 218.

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}.