Given numbers are 381,592,190,812,676

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

The LCM of 381,592,190,812,676 is 735111184080.

Find LCM of 381,592,190,812,676 with Prime Factorization

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

2 x 2 x 381 x 148 x 95 x 203 x 169 = 735111184080

Therefore, the lowest common multiple of 381,592,190,812,676 is 735111184080.

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 592 x 190 x 812 x 676 = 23523557890560

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

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

190 : 1, 2, 5, 10, 19, 38, 95, 190

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,592,190,812,676, is 1.

Now, the common factors can be found like this.

381:3x 127

592:2x 2x 2x 2x 37

190:2x 5x 19

812:2x 2x 7x 29

676:2x 2x 13x 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 2x 2x 2x 2 = 32

Therefore, the value for common factors is 32.

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 = 23523557890560/(1x32)

LCM = 23523557890560/32

LCM = 735111184080

Thus, we can understand that the LCM of 381,592,190,812,676 is 735111184080.

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

• LCM of 726, 622, 191, 630, 762
• LCM of 457, 551, 325, 462, 448
• LCM of 870, 209, 362, 819, 798
• LCM of 714, 571, 991, 802, 340
• LCM of 718, 830, 190, 322, 433

1. What is the LCM of 381, 592, 190, 812, 676?

Answer: LCM of 381, 592, 190, 812, 676 is 735111184080.

2. How to calculate the LCM of 381, 592, 190, 812, 676?

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, 592, 190, 812, 676.

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}.