Given numbers are 218,329,172,228

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

The LCM of 218,329,172,228 is 351581244.

Find LCM of 218,329,172,228 with Prime Factorization

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

2 x 2 x 109 x 329 x 43 x 57 = 351581244

Therefore, the lowest common multiple of 218,329,172,228 is 351581244.

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.

218 x 329 x 172 x 228 = 2812649952

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.

218 : 1, 2, 109, 218

329 : 1, 7, 47, 329

172 : 1, 2, 4, 43, 86, 172

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 218,329,172,228, is 1.

Now, the common factors can be found like this.

218:2x 109

329:7x 47

172:2x 2x 43

228:2x 2x 3x 19

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 2 = 8

Therefore, the value for common factors is 8.

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 = 2812649952/(1x8)

LCM = 2812649952/8

LCM = 351581244

Thus, we can understand that the LCM of 218,329,172,228 is 351581244.

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

• LCM of 602, 500, 716, 144
• LCM of 776, 704, 187, 831
• LCM of 581, 246, 870, 883
• LCM of 796, 292, 948, 599
• LCM of 569, 874, 572, 907

1. What is the LCM of 218, 329, 172, 228?

Answer: LCM of 218, 329, 172, 228 is 351581244.

2. How to calculate the LCM of 218, 329, 172, 228?

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 218, 329, 172, 228.

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}.