Given numbers are 369,338,230,178,788

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

The LCM of 369,338,230,178,788 is 502952689980.

Find LCM of 369,338,230,178,788 with Prime Factorization

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

2 x 369 x 169 x 115 x 89 x 394 = 502952689980

Therefore, the lowest common multiple of 369,338,230,178,788 is 502952689980.

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.

369 x 338 x 230 x 178 x 788 = 4023621519840

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.

369 : 1, 3, 9, 41, 123, 369

338 : 1, 2, 13, 26, 169, 338

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

178 : 1, 2, 89, 178

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 369,338,230,178,788, is 1.

Now, the common factors can be found like this.

369:3x 3x 41

338:2x 13x 13

230:2x 5x 23

178:2x 89

788:2x 2x 197

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 = 4023621519840/(1x8)

LCM = 4023621519840/8

LCM = 502952689980

Thus, we can understand that the LCM of 369,338,230,178,788 is 502952689980.

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

• LCM of 551, 438, 905, 683, 634
• LCM of 380, 238, 381, 659, 435
• LCM of 875, 996, 220, 688, 596
• LCM of 802, 231, 910, 999, 522
• LCM of 501, 718, 906, 120, 728

1. What is the LCM of 369, 338, 230, 178, 788?

Answer: LCM of 369, 338, 230, 178, 788 is 502952689980.

2. How to calculate the LCM of 369, 338, 230, 178, 788?

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 369, 338, 230, 178, 788.

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}.