Given numbers are 144,794,283,346,514

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

The LCM of 144,794,283,346,514 is 719314244784.

Find LCM of 144,794,283,346,514 with Prime Factorization

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

2 x 72 x 397 x 283 x 173 x 257 = 719314244784

Therefore, the lowest common multiple of 144,794,283,346,514 is 719314244784.

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 794 x 283 x 346 x 514 = 5754513958272

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

794 : 1, 2, 397, 794

283 : 1, 283

346 : 1, 2, 173, 346

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 144,794,283,346,514, is 1.

Now, the common factors can be found like this.

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

794:2x 397

283:283

346:2x 173

514:2x 257

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 2 = 8

Therefore, the value for common factors is 8.

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 = 5754513958272/(1x8)

LCM = 5754513958272/8

LCM = 719314244784

Thus, we can understand that the LCM of 144,794,283,346,514 is 719314244784.

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

• LCM of 592, 937, 256, 881, 280
• LCM of 651, 614, 962, 986, 997
• LCM of 388, 309, 816, 568, 389
• LCM of 463, 305, 182, 696, 117
• LCM of 594, 597, 428, 219, 999

1. What is the LCM of 144, 794, 283, 346, 514?

Answer: LCM of 144, 794, 283, 346, 514 is 719314244784.

2. How to calculate the LCM of 144, 794, 283, 346, 514?

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, 794, 283, 346, 514.

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}.