Given numbers are 798,138,544,207,952

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

The LCM of 798,138,544,207,952 is 14976864.

Find LCM of 798,138,544,207,952 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 17 x 23 x 19 x 1 x 4 x 3 x 1 = 14976864

Therefore, the lowest common multiple of 798,138,544,207,952 is 14976864.

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 138 x 544 x 207 x 952 = 11805602909184

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

138 : 1, 2, 3, 6, 23, 46, 69, 138

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

207 : 1, 3, 9, 23, 69, 207

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 798,138,544,207,952, is 1.

Now, the common factors can be found like this.

798:2x 3x 7x 19

138:2x 3x 23

544:2x 2x 2x 2x 2x 17

207:3x 3x 23

952:2x 2x 2x 7x 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 2x 3x 3x 7x 17x 23 = 788256

Therefore, the value for common factors is 788256.

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 = 11805602909184/(1x788256)

LCM = 11805602909184/788256

LCM = 14976864

Thus, we can understand that the LCM of 798,138,544,207,952 is 14976864.

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

• LCM of 390, 348, 426, 275, 511
• LCM of 772, 115, 804, 565, 996
• LCM of 545, 347, 994, 533, 306
• LCM of 262, 581, 803, 713, 491
• LCM of 994, 586, 780, 753, 211

1. What is the LCM of 798, 138, 544, 207, 952?

Answer: LCM of 798, 138, 544, 207, 952 is 14976864.

2. How to calculate the LCM of 798, 138, 544, 207, 952?

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, 138, 544, 207, 952.

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}.