Given numbers are 381,176,299,380

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

The LCM of 381,176,299,380 is 1904725680.

Find LCM of 381,176,299,380 with Prime Factorization

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

2 x 2 x 381 x 44 x 299 x 95 = 1904725680

Therefore, the lowest common multiple of 381,176,299,380 is 1904725680.

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.

381 x 176 x 299 x 380 = 7618902720

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.

381 : 1, 3, 127, 381

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

299 : 1, 13, 23, 299

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,176,299,380, is 1.

Now, the common factors can be found like this.

381:3x 127

176:2x 2x 2x 2x 11

299:13x 23

380:2x 2x 5x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 7618902720/(1x4)

LCM = 7618902720/4

LCM = 1904725680

Thus, we can understand that the LCM of 381,176,299,380 is 1904725680.

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

• LCM of 245, 473, 133, 545
• LCM of 575, 889, 538, 496
• LCM of 316, 556, 283, 407
• LCM of 478, 608, 500, 896
• LCM of 307, 198, 443, 959

1. What is the LCM of 381, 176, 299, 380?

Answer: LCM of 381, 176, 299, 380 is 1904725680.

2. How to calculate the LCM of 381, 176, 299, 380?

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 381, 176, 299, 380.

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}.