Given numbers are 194,324,247,642,770

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

The LCM of 194,324,247,642,770 is 319785085620.

Find LCM of 194,324,247,642,770 with Prime Factorization

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

2 x 3 x 97 x 54 x 247 x 107 x 385 = 319785085620

Therefore, the lowest common multiple of 194,324,247,642,770 is 319785085620.

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.

194 x 324 x 247 x 642 x 770 = 7674842054880

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.

194 : 1, 2, 97, 194

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

247 : 1, 13, 19, 247

642 : 1, 2, 3, 6, 107, 214, 321, 642

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 194,324,247,642,770, is 1.

Now, the common factors can be found like this.

194:2x 97

324:2x 2x 3x 3x 3x 3

247:13x 19

642:2x 3x 107

770:2x 5x 7x 11

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 3 = 24

Therefore, the value for common factors is 24.

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 = 7674842054880/(1x24)

LCM = 7674842054880/24

LCM = 319785085620

Thus, we can understand that the LCM of 194,324,247,642,770 is 319785085620.

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

• LCM of 599, 342, 150, 928, 727
• LCM of 420, 763, 336, 184, 452
• LCM of 890, 754, 907, 373, 465
• LCM of 367, 607, 309, 321, 702
• LCM of 701, 741, 320, 315, 199

1. What is the LCM of 194, 324, 247, 642, 770?

Answer: LCM of 194, 324, 247, 642, 770 is 319785085620.

2. How to calculate the LCM of 194, 324, 247, 642, 770?

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 194, 324, 247, 642, 770.

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}.