Given numbers are 381,352,106,674,790

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

The LCM of 381,352,106,674,790 is 946172900640.

Find LCM of 381,352,106,674,790 with Prime Factorization

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

2 x 381 x 176 x 53 x 337 x 395 = 946172900640

Therefore, the lowest common multiple of 381,352,106,674,790 is 946172900640.

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 352 x 106 x 674 x 790 = 7569383205120

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

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

106 : 1, 2, 53, 106

674 : 1, 2, 337, 674

790 : 1, 2, 5, 10, 79, 158, 395, 790

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,352,106,674,790, is 1.

Now, the common factors can be found like this.

381:3x 127

352:2x 2x 2x 2x 2x 11

106:2x 53

674:2x 337

790:2x 5x 79

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 = 7569383205120/(1x8)

LCM = 7569383205120/8

LCM = 946172900640

Thus, we can understand that the LCM of 381,352,106,674,790 is 946172900640.

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

• LCM of 752, 463, 333, 970, 101
• LCM of 218, 302, 115, 942, 222
• LCM of 710, 633, 570, 198, 739
• LCM of 495, 500, 246, 593, 243
• LCM of 810, 587, 117, 425, 263

1. What is the LCM of 381, 352, 106, 674, 790?

Answer: LCM of 381, 352, 106, 674, 790 is 946172900640.

2. How to calculate the LCM of 381, 352, 106, 674, 790?

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, 352, 106, 674, 790.

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}.