Given numbers are 475,828,644,230,421

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

The LCM of 475,828,644,230,421 is 1159055100.

Find LCM of 475,828,644,230,421 with Prime Factorization

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

2 x 2 x 5 x 23 x 95 x 9 x 7 x 1 x 421 = 1159055100

Therefore, the lowest common multiple of 475,828,644,230,421 is 1159055100.

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.

475 x 828 x 644 x 230 x 421 = 24525605916000

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.

475 : 1, 5, 19, 25, 95, 475

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

230 : 1, 2, 5, 10, 23, 46, 115, 230

421 : 1, 421

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 475,828,644,230,421, is 1.

Now, the common factors can be found like this.

475:5x 5x 19

828:2x 2x 3x 3x 23

644:2x 2x 7x 23

230:2x 5x 23

421:421

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 5x 23x 23 = 21160

Therefore, the value for common factors is 21160.

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 = 24525605916000/(1x21160)

LCM = 24525605916000/21160

LCM = 1159055100

Thus, we can understand that the LCM of 475,828,644,230,421 is 1159055100.

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

• LCM of 193, 831, 407, 826, 796
• LCM of 548, 265, 515, 841, 950
• LCM of 208, 879, 447, 868, 713
• LCM of 908, 210, 854, 102, 766
• LCM of 174, 608, 427, 738, 436

1. What is the LCM of 475, 828, 644, 230, 421?

Answer: LCM of 475, 828, 644, 230, 421 is 1159055100.

2. How to calculate the LCM of 475, 828, 644, 230, 421?

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 475, 828, 644, 230, 421.

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}.