Given numbers are 387,404,176,700,230

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

The LCM of 387,404,176,700,230 is 27689230800.

Find LCM of 387,404,176,700,230 with Prime Factorization

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

2 x 2 x 5 x 387 x 101 x 44 x 35 x 23 = 27689230800

Therefore, the lowest common multiple of 387,404,176,700,230 is 27689230800.

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.

387 x 404 x 176 x 700 x 230 = 4430276928000

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.

387 : 1, 3, 9, 43, 129, 387

404 : 1, 2, 4, 101, 202, 404

176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

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 387,404,176,700,230, is 1.

Now, the common factors can be found like this.

387:3x 3x 43

404:2x 2x 101

176:2x 2x 2x 2x 11

700:2x 2x 5x 5x 7

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 2x 2x 2x 2x 5 = 160

Therefore, the value for common factors is 160.

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 = 4430276928000/(1x160)

LCM = 4430276928000/160

LCM = 27689230800

Thus, we can understand that the LCM of 387,404,176,700,230 is 27689230800.

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

• LCM of 433, 541, 308, 839, 174
• LCM of 955, 818, 169, 667, 494
• LCM of 295, 940, 714, 802, 257
• LCM of 644, 651, 667, 356, 815
• LCM of 772, 833, 765, 343, 828

1. What is the LCM of 387, 404, 176, 700, 230?

Answer: LCM of 387, 404, 176, 700, 230 is 27689230800.

2. How to calculate the LCM of 387, 404, 176, 700, 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 387, 404, 176, 700, 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}.