Given numbers are 468,226,506

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

The LCM of 468,226,506 is 13379652.

Find LCM of 468,226,506 with Prime Factorization

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

2 x 234 x 113 x 253 = 13379652

Therefore, the lowest common multiple of 468,226,506 is 13379652.

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.

468 x 226 x 506 = 53518608

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.

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

226 : 1, 2, 113, 226

506 : 1, 2, 11, 22, 23, 46, 253, 506

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,226,506, is 2.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

226:2x 113

506:2x 11x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 53518608/(2x2)

LCM = 53518608/4

LCM = 13379652

Thus, we can understand that the LCM of 468,226,506 is 13379652.

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

• LCM of 989, 696, 358
• LCM of 198, 408, 205
• LCM of 117, 575, 856
• LCM of 940, 628, 514
• LCM of 653, 271, 220

1. What is the LCM of 468, 226, 506?

Answer: LCM of 468, 226, 506 is 13379652.

2. How to calculate the LCM of 468, 226, 506?

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 468, 226, 506.

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}.