Given numbers are 381,476,854,622,509

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

The LCM of 381,476,854,622,509 is 1751216880084.

Find LCM of 381,476,854,622,509 with Prime Factorization

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

2 x 7 x 381 x 34 x 61 x 311 x 509 = 1751216880084

Therefore, the lowest common multiple of 381,476,854,622,509 is 1751216880084.

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 476 x 854 x 622 x 509 = 49034072642352

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

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

854 : 1, 2, 7, 14, 61, 122, 427, 854

622 : 1, 2, 311, 622

509 : 1, 509

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,476,854,622,509, is 1.

Now, the common factors can be found like this.

381:3x 127

476:2x 2x 7x 17

854:2x 7x 61

622:2x 311

509:509

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 7 = 28

Therefore, the value for common factors is 28.

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 = 49034072642352/(1x28)

LCM = 49034072642352/28

LCM = 1751216880084

Thus, we can understand that the LCM of 381,476,854,622,509 is 1751216880084.

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

• LCM of 669, 578, 841, 374, 730
• LCM of 892, 606, 746, 799, 905
• LCM of 380, 978, 992, 492, 950
• LCM of 310, 443, 899, 468, 609
• LCM of 327, 643, 155, 659, 780

1. What is the LCM of 381, 476, 854, 622, 509?

Answer: LCM of 381, 476, 854, 622, 509 is 1751216880084.

2. How to calculate the LCM of 381, 476, 854, 622, 509?

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, 476, 854, 622, 509.

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}.