Given numbers are 144,924,391,194,442

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

The LCM of 144,924,391,194,442 is 5466949488.

Find LCM of 144,924,391,194,442 with Prime Factorization

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

2 x 2 x 3 x 17 x 12 x 77 x 23 x 97 x 13 = 5466949488

Therefore, the lowest common multiple of 144,924,391,194,442 is 5466949488.

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.

144 x 924 x 391 x 194 x 442 = 4461030782208

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.

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

391 : 1, 17, 23, 391

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 144,924,391,194,442, is 1.

Now, the common factors can be found like this.

144:2x 2x 2x 2x 3x 3

924:2x 2x 3x 7x 11

391:17x 23

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 17 = 816

Therefore, the value for common factors is 816.

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 = 4461030782208/(1x816)

LCM = 4461030782208/816

LCM = 5466949488

Thus, we can understand that the LCM of 144,924,391,194,442 is 5466949488.

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

• LCM of 309, 421, 909, 725, 216
• LCM of 134, 715, 585, 553, 186
• LCM of 747, 609, 552, 710, 240
• LCM of 217, 496, 419, 672, 640
• LCM of 798, 536, 655, 359, 745

1. What is the LCM of 144, 924, 391, 194, 442?

Answer: LCM of 144, 924, 391, 194, 442 is 5466949488.

2. How to calculate the LCM of 144, 924, 391, 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 144, 924, 391, 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}.