Given numbers are 229,201,468,116,422

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

The LCM of 229,201,468,116,422 is 43937626356.

Find LCM of 229,201,468,116,422 with Prime Factorization

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

2 x 2 x 3 x 229 x 67 x 39 x 29 x 211 = 43937626356

Therefore, the lowest common multiple of 229,201,468,116,422 is 43937626356.

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.

229 x 201 x 468 x 116 x 422 = 1054503032544

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.

229 : 1, 229

201 : 1, 3, 67, 201

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

116 : 1, 2, 4, 29, 58, 116

422 : 1, 2, 211, 422

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 229,201,468,116,422, is 1.

Now, the common factors can be found like this.

229:229

201:3x 67

468:2x 2x 3x 3x 13

116:2x 2x 29

422:2x 211

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 3 = 24

Therefore, the value for common factors is 24.

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 = 1054503032544/(1x24)

LCM = 1054503032544/24

LCM = 43937626356

Thus, we can understand that the LCM of 229,201,468,116,422 is 43937626356.

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

• LCM of 915, 244, 717, 814, 930
• LCM of 708, 468, 636, 660, 474
• LCM of 740, 446, 258, 956, 160
• LCM of 172, 192, 321, 422, 934
• LCM of 317, 863, 743, 802, 149

1. What is the LCM of 229, 201, 468, 116, 422?

Answer: LCM of 229, 201, 468, 116, 422 is 43937626356.

2. How to calculate the LCM of 229, 201, 468, 116, 422?

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 229, 201, 468, 116, 422.

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}.