Given numbers are 807,381,611,396,919

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

The LCM of 807,381,611,396,919 is 7596401458932.

Find LCM of 807,381,611,396,919 with Prime Factorization

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

3 x 269 x 127 x 611 x 132 x 919 = 7596401458932

Therefore, the lowest common multiple of 807,381,611,396,919 is 7596401458932.

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.

807 x 381 x 611 x 396 x 919 = 68367613130388

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.

807 : 1, 3, 269, 807

381 : 1, 3, 127, 381

611 : 1, 13, 47, 611

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

919 : 1, 919

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 807,381,611,396,919, is 1.

Now, the common factors can be found like this.

807:3x 269

381:3x 127

611:13x 47

396:2x 2x 3x 3x 11

919:919

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 68367613130388/(1x9)

LCM = 68367613130388/9

LCM = 7596401458932

Thus, we can understand that the LCM of 807,381,611,396,919 is 7596401458932.

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

• LCM of 320, 671, 255, 656, 469
• LCM of 141, 717, 226, 588, 971
• LCM of 853, 755, 107, 912, 347
• LCM of 472, 237, 230, 970, 604
• LCM of 304, 529, 840, 149, 249

1. What is the LCM of 807, 381, 611, 396, 919?

Answer: LCM of 807, 381, 611, 396, 919 is 7596401458932.

2. How to calculate the LCM of 807, 381, 611, 396, 919?

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 807, 381, 611, 396, 919.

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}.