Given numbers are 358,290,225,214

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

The LCM of 358,290,225,214 is 249946650.

Find LCM of 358,290,225,214 with Prime Factorization

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

2 x 5 x 179 x 29 x 45 x 107 = 249946650

Therefore, the lowest common multiple of 358,290,225,214 is 249946650.

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.

358 x 290 x 225 x 214 = 4998933000

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.

358 : 1, 2, 179, 358

290 : 1, 2, 5, 10, 29, 58, 145, 290

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 358,290,225,214, is 1.

Now, the common factors can be found like this.

358:2x 179

290:2x 5x 29

225:3x 3x 5x 5

214:2x 107

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 5 = 20

Therefore, the value for common factors is 20.

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 = 4998933000/(1x20)

LCM = 4998933000/20

LCM = 249946650

Thus, we can understand that the LCM of 358,290,225,214 is 249946650.

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

• LCM of 868, 909, 998, 828
• LCM of 984, 809, 392, 752
• LCM of 274, 602, 628, 774
• LCM of 774, 865, 771, 661
• LCM of 149, 691, 766, 353

1. What is the LCM of 358, 290, 225, 214?

Answer: LCM of 358, 290, 225, 214 is 249946650.

2. How to calculate the LCM of 358, 290, 225, 214?

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 358, 290, 225, 214.

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}.