Given numbers are 228,208,182,457

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

The LCM of 228,208,182,457 is 37927344.

Find LCM of 228,208,182,457 with Prime Factorization

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

2 x 2 x 13 x 57 x 4 x 7 x 457 = 37927344

Therefore, the lowest common multiple of 228,208,182,457 is 37927344.

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.

228 x 208 x 182 x 457 = 3944443776

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.

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

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

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

457 : 1, 457

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 228,208,182,457, is 1.

Now, the common factors can be found like this.

228:2x 2x 3x 19

208:2x 2x 2x 2x 13

182:2x 7x 13

457:457

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 13 = 104

Therefore, the value for common factors is 104.

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 = 3944443776/(1x104)

LCM = 3944443776/104

LCM = 37927344

Thus, we can understand that the LCM of 228,208,182,457 is 37927344.

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

• LCM of 675, 821, 298, 228
• LCM of 900, 766, 361, 115
• LCM of 710, 334, 208, 911
• LCM of 715, 307, 884, 811
• LCM of 350, 814, 899, 270

1. What is the LCM of 228, 208, 182, 457?

Answer: LCM of 228, 208, 182, 457 is 37927344.

2. How to calculate the LCM of 228, 208, 182, 457?

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 228, 208, 182, 457.

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}.