Given numbers are 230,183,180,478,375

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

The LCM of 230,183,180,478,375 is 1508926500.

Find LCM of 230,183,180,478,375 with Prime Factorization

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

2 x 3 x 5 x 23 x 61 x 6 x 239 x 25 = 1508926500

Therefore, the lowest common multiple of 230,183,180,478,375 is 1508926500.

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.

230 x 183 x 180 x 478 x 375 = 1358033850000

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.

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

183 : 1, 3, 61, 183

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

478 : 1, 2, 239, 478

375 : 1, 3, 5, 15, 25, 75, 125, 375

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,183,180,478,375, is 1.

Now, the common factors can be found like this.

230:2x 5x 23

183:3x 61

180:2x 2x 3x 3x 5

478:2x 239

375:3x 5x 5x 5

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 3x 3x 5x 5 = 900

Therefore, the value for common factors is 900.

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 = 1358033850000/(1x900)

LCM = 1358033850000/900

LCM = 1508926500

Thus, we can understand that the LCM of 230,183,180,478,375 is 1508926500.

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

• LCM of 587, 307, 373, 446, 969
• LCM of 309, 366, 150, 604, 128
• LCM of 363, 425, 472, 290, 423
• LCM of 956, 233, 456, 959, 497
• LCM of 954, 743, 826, 885, 347

1. What is the LCM of 230, 183, 180, 478, 375?

Answer: LCM of 230, 183, 180, 478, 375 is 1508926500.

2. How to calculate the LCM of 230, 183, 180, 478, 375?

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 230, 183, 180, 478, 375.

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}.