Given numbers are 798,678,348,358,213

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

The LCM of 798,678,348,358,213 is 66469239228.

Find LCM of 798,678,348,358,213 with Prime Factorization

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

2 x 3 x 133 x 113 x 58 x 179 x 71 = 66469239228

Therefore, the lowest common multiple of 798,678,348,358,213 is 66469239228.

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.

798 x 678 x 348 x 358 x 213 = 14357355673248

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.

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

678 : 1, 2, 3, 6, 113, 226, 339, 678

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

358 : 1, 2, 179, 358

213 : 1, 3, 71, 213

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 798,678,348,358,213, is 1.

Now, the common factors can be found like this.

798:2x 3x 7x 19

678:2x 3x 113

348:2x 2x 3x 29

358:2x 179

213:3x 71

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 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 14357355673248/(1x216)

LCM = 14357355673248/216

LCM = 66469239228

Thus, we can understand that the LCM of 798,678,348,358,213 is 66469239228.

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

• LCM of 355, 646, 782, 978, 694
• LCM of 419, 944, 612, 519, 164
• LCM of 100, 243, 870, 380, 915
• LCM of 222, 843, 697, 429, 401
• LCM of 629, 819, 561, 492, 144

1. What is the LCM of 798, 678, 348, 358, 213?

Answer: LCM of 798, 678, 348, 358, 213 is 66469239228.

2. How to calculate the LCM of 798, 678, 348, 358, 213?

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 798, 678, 348, 358, 213.

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}.