Given numbers are 840,339,306,264,228

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

The LCM of 840,339,306,264,228 is 1011752280.

Find LCM of 840,339,306,264,228 with Prime Factorization

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

2 x 2 x 2 x 3 x 35 x 113 x 51 x 11 x 19 = 1011752280

Therefore, the lowest common multiple of 840,339,306,264,228 is 1011752280.

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.

840 x 339 x 306 x 264 x 228 = 5244923819520

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.

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

339 : 1, 3, 113, 339

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 840,339,306,264,228, is 3.

Now, the common factors can be found like this.

840:2x 2x 2x 3x 5x 7

339:3x 113

306:2x 3x 3x 17

264:2x 2x 2x 3x 11

228:2x 2x 3x 19

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 2x 2x 3x 3x 3 = 1728

Therefore, the value for common factors is 1728.

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 = 5244923819520/(3x1728)

LCM = 5244923819520/5184

LCM = 1011752280

Thus, we can understand that the LCM of 840,339,306,264,228 is 1011752280.

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

• LCM of 754, 133, 247, 117, 766
• LCM of 316, 642, 107, 184, 866
• LCM of 919, 209, 165, 862, 336
• LCM of 330, 225, 379, 544, 745
• LCM of 422, 167, 632, 294, 198

1. What is the LCM of 840, 339, 306, 264, 228?

Answer: LCM of 840, 339, 306, 264, 228 is 1011752280.

2. How to calculate the LCM of 840, 339, 306, 264, 228?

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 840, 339, 306, 264, 228.

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}.