Given numbers are 228,306,303,390,726

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

The LCM of 228,306,303,390,726 is 9236876220.

Find LCM of 228,306,303,390,726 with Prime Factorization

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

2 x 3 x 38 x 51 x 101 x 65 x 121 = 9236876220

Therefore, the lowest common multiple of 228,306,303,390,726 is 9236876220.

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 306 x 303 x 390 x 726 = 5985495790560

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

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

303 : 1, 3, 101, 303

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 228,306,303,390,726, is 3.

Now, the common factors can be found like this.

228:2x 2x 3x 19

306:2x 3x 3x 17

303:3x 101

390:2x 3x 5x 13

726:2x 3x 11x 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 2x 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 5985495790560/(3x216)

LCM = 5985495790560/648

LCM = 9236876220

Thus, we can understand that the LCM of 228,306,303,390,726 is 9236876220.

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

• LCM of 706, 798, 360, 694, 853
• LCM of 634, 597, 870, 691, 649
• LCM of 911, 668, 749, 671, 988
• LCM of 999, 679, 155, 607, 925
• LCM of 267, 381, 653, 917, 833

1. What is the LCM of 228, 306, 303, 390, 726?

Answer: LCM of 228, 306, 303, 390, 726 is 9236876220.

2. How to calculate the LCM of 228, 306, 303, 390, 726?

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, 306, 303, 390, 726.

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}.