Given numbers are 830,921,645,407,648

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

The LCM of 830,921,645,407,648 is 1444855258440.

Find LCM of 830,921,645,407,648 with Prime Factorization

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

2 x 3 x 5 x 83 x 307 x 43 x 407 x 108 = 1444855258440

Therefore, the lowest common multiple of 830,921,645,407,648 is 1444855258440.

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.

830 x 921 x 645 x 407 x 648 = 130036973259600

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.

830 : 1, 2, 5, 10, 83, 166, 415, 830

921 : 1, 3, 307, 921

645 : 1, 3, 5, 15, 43, 129, 215, 645

407 : 1, 11, 37, 407

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 830,921,645,407,648, is 1.

Now, the common factors can be found like this.

830:2x 5x 83

921:3x 307

645:3x 5x 43

407:11x 37

648:2x 2x 2x 3x 3x 3x 3

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

2x 3x 3x 5 = 90

Therefore, the value for common factors is 90.

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 = 130036973259600/(1x90)

LCM = 130036973259600/90

LCM = 1444855258440

Thus, we can understand that the LCM of 830,921,645,407,648 is 1444855258440.

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

• LCM of 873, 126, 673, 543, 694
• LCM of 352, 304, 189, 779, 648
• LCM of 503, 453, 724, 154, 185
• LCM of 981, 681, 188, 278, 223
• LCM of 573, 838, 271, 278, 681

1. What is the LCM of 830, 921, 645, 407, 648?

Answer: LCM of 830, 921, 645, 407, 648 is 1444855258440.

2. How to calculate the LCM of 830, 921, 645, 407, 648?

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 830, 921, 645, 407, 648.

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}.