Given numbers are 228,298,103,138

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

The LCM of 228,298,103,138 is 80479668.

Find LCM of 228,298,103,138 with Prime Factorization

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

2 x 3 x 38 x 149 x 103 x 23 = 80479668

Therefore, the lowest common multiple of 228,298,103,138 is 80479668.

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 298 x 103 x 138 = 965756016

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

298 : 1, 2, 149, 298

103 : 1, 103

138 : 1, 2, 3, 6, 23, 46, 69, 138

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 228,298,103,138, is 1.

Now, the common factors can be found like this.

228:2x 2x 3x 19

298:2x 149

103:103

138:2x 3x 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 3 = 12

Therefore, the value for common factors is 12.

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 = 965756016/(1x12)

LCM = 965756016/12

LCM = 80479668

Thus, we can understand that the LCM of 228,298,103,138 is 80479668.

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

• LCM of 502, 960, 468, 142
• LCM of 308, 166, 152, 376
• LCM of 788, 274, 859, 731
• LCM of 184, 404, 647, 932
• LCM of 461, 349, 364, 359

1. What is the LCM of 228, 298, 103, 138?

Answer: LCM of 228, 298, 103, 138 is 80479668.

2. How to calculate the LCM of 228, 298, 103, 138?

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, 298, 103, 138.

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}.