Given numbers are 830,546,106,364,575

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

The LCM of 830,546,106,364,575 is 2762132100.

Find LCM of 830,546,106,364,575 with Prime Factorization

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

2 x 5 x 7 x 13 x 83 x 3 x 53 x 2 x 115 = 2762132100

Therefore, the lowest common multiple of 830,546,106,364,575 is 2762132100.

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 546 x 106 x 364 x 575 = 10054160844000

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

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

106 : 1, 2, 53, 106

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

575 : 1, 5, 23, 25, 115, 575

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 830,546,106,364,575, is 1.

Now, the common factors can be found like this.

830:2x 5x 83

546:2x 3x 7x 13

106:2x 53

364:2x 2x 7x 13

575:5x 5x 23

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 7x 13 = 3640

Therefore, the value for common factors is 3640.

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 = 10054160844000/(1x3640)

LCM = 10054160844000/3640

LCM = 2762132100

Thus, we can understand that the LCM of 830,546,106,364,575 is 2762132100.

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

• LCM of 967, 795, 711, 957, 201
• LCM of 795, 882, 261, 888, 804
• LCM of 607, 514, 647, 528, 842
• LCM of 649, 265, 275, 801, 861
• LCM of 621, 222, 299, 562, 965

1. What is the LCM of 830, 546, 106, 364, 575?

Answer: LCM of 830, 546, 106, 364, 575 is 2762132100.

2. How to calculate the LCM of 830, 546, 106, 364, 575?

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, 546, 106, 364, 575.

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}.