Given numbers are 205,788,249,230

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

The LCM of 205,788,249,230 is 925139580.

Find LCM of 205,788,249,230 with Prime Factorization

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

2 x 5 x 41 x 394 x 249 x 23 = 925139580

Therefore, the lowest common multiple of 205,788,249,230 is 925139580.

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.

205 x 788 x 249 x 230 = 9251395800

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.

205 : 1, 5, 41, 205

788 : 1, 2, 4, 197, 394, 788

249 : 1, 3, 83, 249

230 : 1, 2, 5, 10, 23, 46, 115, 230

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 205,788,249,230, is 1.

Now, the common factors can be found like this.

205:5x 41

788:2x 2x 197

249:3x 83

230:2x 5x 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 5 = 10

Therefore, the value for common factors is 10.

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 = 9251395800/(1x10)

LCM = 9251395800/10

LCM = 925139580

Thus, we can understand that the LCM of 205,788,249,230 is 925139580.

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

• LCM of 867, 987, 424, 666
• LCM of 745, 849, 280, 835
• LCM of 819, 343, 611, 375
• LCM of 957, 415, 971, 689
• LCM of 490, 299, 787, 967

1. What is the LCM of 205, 788, 249, 230?

Answer: LCM of 205, 788, 249, 230 is 925139580.

2. How to calculate the LCM of 205, 788, 249, 230?

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 205, 788, 249, 230.

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}.