Given numbers are 482,816,299,714,838

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

The LCM of 482,816,299,714,838 is 172460822352.

Find LCM of 482,816,299,714,838 with Prime Factorization

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

2 x 3 x 17 x 241 x 8 x 299 x 7 x 419 = 172460822352

Therefore, the lowest common multiple of 482,816,299,714,838 is 172460822352.

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.

482 x 816 x 299 x 714 x 838 = 70364015519616

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.

482 : 1, 2, 241, 482

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

299 : 1, 13, 23, 299

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

838 : 1, 2, 419, 838

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 482,816,299,714,838, is 1.

Now, the common factors can be found like this.

482:2x 241

816:2x 2x 2x 2x 3x 17

299:13x 23

714:2x 3x 7x 17

838:2x 419

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 3x 17 = 408

Therefore, the value for common factors is 408.

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 = 70364015519616/(1x408)

LCM = 70364015519616/408

LCM = 172460822352

Thus, we can understand that the LCM of 482,816,299,714,838 is 172460822352.

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

• LCM of 669, 805, 920, 761, 348
• LCM of 174, 688, 429, 976, 571
• LCM of 418, 350, 138, 211, 710
• LCM of 461, 435, 158, 272, 992
• LCM of 241, 206, 764, 360, 161

1. What is the LCM of 482, 816, 299, 714, 838?

Answer: LCM of 482, 816, 299, 714, 838 is 172460822352.

2. How to calculate the LCM of 482, 816, 299, 714, 838?

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 482, 816, 299, 714, 838.

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}.