Given numbers are 381,319,724,390

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

The LCM of 381,319,724,390 is 5719625340.

Find LCM of 381,319,724,390 with Prime Factorization

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

2 x 3 x 127 x 319 x 362 x 65 = 5719625340

Therefore, the lowest common multiple of 381,319,724,390 is 5719625340.

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 319 x 724 x 390 = 34317752040

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

319 : 1, 11, 29, 319

724 : 1, 2, 4, 181, 362, 724

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,319,724,390, is 1.

Now, the common factors can be found like this.

381:3x 127

319:11x 29

724:2x 2x 181

390:2x 3x 5x 13

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 34317752040/(1x6)

LCM = 34317752040/6

LCM = 5719625340

Thus, we can understand that the LCM of 381,319,724,390 is 5719625340.

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

• LCM of 990, 953, 433, 971
• LCM of 331, 752, 587, 718
• LCM of 516, 576, 375, 818
• LCM of 367, 872, 146, 105
• LCM of 917, 830, 469, 323

1. What is the LCM of 381, 319, 724, 390?

Answer: LCM of 381, 319, 724, 390 is 5719625340.

2. How to calculate the LCM of 381, 319, 724, 390?

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, 319, 724, 390.

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}.