Given numbers are 409,909,556,467,381

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

The LCM of 409,909,556,467,381 is 12259777386924.

Find LCM of 409,909,556,467,381 with Prime Factorization

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

3 x 409 x 303 x 556 x 467 x 127 = 12259777386924

Therefore, the lowest common multiple of 409,909,556,467,381 is 12259777386924.

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.

409 x 909 x 556 x 467 x 381 = 36779332160772

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.

409 : 1, 409

909 : 1, 3, 9, 101, 303, 909

556 : 1, 2, 4, 139, 278, 556

467 : 1, 467

381 : 1, 3, 127, 381

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,909,556,467,381, is 1.

Now, the common factors can be found like this.

409:409

909:3x 3x 101

556:2x 2x 139

467:467

381:3x 127

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

3 = 3

Therefore, the value for common factors is 3.

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 = 36779332160772/(1x3)

LCM = 36779332160772/3

LCM = 12259777386924

Thus, we can understand that the LCM of 409,909,556,467,381 is 12259777386924.

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

• LCM of 889, 402, 111, 460, 826
• LCM of 974, 360, 953, 884, 575
• LCM of 280, 476, 581, 666, 657
• LCM of 962, 682, 843, 123, 667
• LCM of 594, 955, 271, 418, 410

1. What is the LCM of 409, 909, 556, 467, 381?

Answer: LCM of 409, 909, 556, 467, 381 is 12259777386924.

2. How to calculate the LCM of 409, 909, 556, 467, 381?

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 409, 909, 556, 467, 381.

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}.