Given numbers are 948,675,180,194,442

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

The LCM of 948,675,180,194,442 is 4572512100.

Find LCM of 948,675,180,194,442 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 79 x 15 x 1 x 97 x 221 = 4572512100

Therefore, the lowest common multiple of 948,675,180,194,442 is 4572512100.

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.

948 x 675 x 180 x 194 x 442 = 9876626136000

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.

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

194 : 1, 2, 97, 194

442 : 1, 2, 13, 17, 26, 34, 221, 442

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 948,675,180,194,442, is 1.

Now, the common factors can be found like this.

948:2x 2x 3x 79

675:3x 3x 3x 5x 5

180:2x 2x 3x 3x 5

194:2x 97

442:2x 13x 17

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 2x 3x 3x 3x 5 = 2160

Therefore, the value for common factors is 2160.

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 = 9876626136000/(1x2160)

LCM = 9876626136000/2160

LCM = 4572512100

Thus, we can understand that the LCM of 948,675,180,194,442 is 4572512100.

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

• LCM of 847, 625, 249, 855, 249
• LCM of 161, 342, 554, 715, 253
• LCM of 975, 720, 515, 863, 479
• LCM of 945, 425, 566, 595, 505
• LCM of 882, 321, 523, 443, 972

1. What is the LCM of 948, 675, 180, 194, 442?

Answer: LCM of 948, 675, 180, 194, 442 is 4572512100.

2. How to calculate the LCM of 948, 675, 180, 194, 442?

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 948, 675, 180, 194, 442.

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}.