Given numbers are 418,229,297,728,770

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

The LCM of 418,229,297,728,770 is 4703779080.

Find LCM of 418,229,297,728,770 with Prime Factorization

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

2 x 7 x 11 x 19 x 229 x 27 x 52 x 5 = 4703779080

Therefore, the lowest common multiple of 418,229,297,728,770 is 4703779080.

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.

418 x 229 x 297 x 728 x 770 = 15936403523040

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.

418 : 1, 2, 11, 19, 22, 38, 209, 418

229 : 1, 229

297 : 1, 3, 9, 11, 27, 33, 99, 297

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

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,229,297,728,770, is 1.

Now, the common factors can be found like this.

418:2x 11x 19

229:229

297:3x 3x 3x 11

728:2x 2x 2x 7x 13

770:2x 5x 7x 11

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 7x 11x 11 = 3388

Therefore, the value for common factors is 3388.

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 = 15936403523040/(1x3388)

LCM = 15936403523040/3388

LCM = 4703779080

Thus, we can understand that the LCM of 418,229,297,728,770 is 4703779080.

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

• LCM of 342, 784, 500, 602, 235
• LCM of 358, 605, 343, 674, 746
• LCM of 684, 320, 909, 896, 664
• LCM of 105, 726, 570, 590, 181
• LCM of 577, 298, 968, 663, 214

1. What is the LCM of 418, 229, 297, 728, 770?

Answer: LCM of 418, 229, 297, 728, 770 is 4703779080.

2. How to calculate the LCM of 418, 229, 297, 728, 770?

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 418, 229, 297, 728, 770.

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}.