Given numbers are 975,793,648,546

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

The LCM of 975,793,648,546 is 89926200.

Find LCM of 975,793,648,546 with Prime Factorization

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

2 x 3 x 13 x 25 x 61 x 108 x 7 = 89926200

Therefore, the lowest common multiple of 975,793,648,546 is 89926200.

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.

975 x 793 x 648 x 546 = 273555500400

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.

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

793 : 1, 13, 61, 793

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 975,793,648,546, is 1.

Now, the common factors can be found like this.

975:3x 5x 5x 13

793:13x 61

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

546:2x 3x 7x 13

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 13x 13 = 3042

Therefore, the value for common factors is 3042.

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 = 273555500400/(1x3042)

LCM = 273555500400/3042

LCM = 89926200

Thus, we can understand that the LCM of 975,793,648,546 is 89926200.

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

• LCM of 661, 656, 213, 739
• LCM of 231, 741, 388, 104
• LCM of 334, 500, 459, 764
• LCM of 218, 276, 260, 886
• LCM of 699, 977, 268, 123

1. What is the LCM of 975, 793, 648, 546?

Answer: LCM of 975, 793, 648, 546 is 89926200.

2. How to calculate the LCM of 975, 793, 648, 546?

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 975, 793, 648, 546.

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}.