Given numbers are 226,152,966,103,230

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

The LCM of 226,152,966,103,230 is 4272444120.

Find LCM of 226,152,966,103,230 with Prime Factorization

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

2 x 23 x 113 x 76 x 21 x 103 x 5 = 4272444120

Therefore, the lowest common multiple of 226,152,966,103,230 is 4272444120.

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.

226 x 152 x 966 x 103 x 230 = 786129718080

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.

226 : 1, 2, 113, 226

152 : 1, 2, 4, 8, 19, 38, 76, 152

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

103 : 1, 103

230 : 1, 2, 5, 10, 23, 46, 115, 230

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 226,152,966,103,230, is 1.

Now, the common factors can be found like this.

226:2x 113

152:2x 2x 2x 19

966:2x 3x 7x 23

103:103

230:2x 5x 23

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 23 = 184

Therefore, the value for common factors is 184.

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 = 786129718080/(1x184)

LCM = 786129718080/184

LCM = 4272444120

Thus, we can understand that the LCM of 226,152,966,103,230 is 4272444120.

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

• LCM of 398, 936, 424, 880, 152
• LCM of 412, 802, 287, 140, 998
• LCM of 289, 819, 531, 914, 667
• LCM of 404, 966, 134, 367, 545
• LCM of 228, 938, 304, 421, 727

1. What is the LCM of 226, 152, 966, 103, 230?

Answer: LCM of 226, 152, 966, 103, 230 is 4272444120.

2. How to calculate the LCM of 226, 152, 966, 103, 230?

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 226, 152, 966, 103, 230.

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}.