Given numbers are 102,272,726,644,952

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

The LCM of 102,272,726,644,952 is 15896496.

Find LCM of 102,272,726,644,952 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 1 x 2 x 121 x 23 x 1 = 15896496

Therefore, the lowest common multiple of 102,272,726,644,952 is 15896496.

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.

102 x 272 x 726 x 644 x 952 = 12348906780672

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.

102 : 1, 2, 3, 6, 17, 34, 51, 102

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

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 102,272,726,644,952, is 2.

Now, the common factors can be found like this.

102:2x 3x 17

272:2x 2x 2x 2x 17

726:2x 3x 11x 11

644:2x 2x 7x 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 2x 3x 7x 17x 17 = 388416

Therefore, the value for common factors is 388416.

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 = 12348906780672/(2x388416)

LCM = 12348906780672/776832

LCM = 15896496

Thus, we can understand that the LCM of 102,272,726,644,952 is 15896496.

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

• LCM of 179, 929, 845, 869, 991
• LCM of 146, 303, 483, 314, 705
• LCM of 409, 800, 427, 583, 592
• LCM of 742, 385, 252, 196, 206
• LCM of 719, 746, 595, 642, 180

1. What is the LCM of 102, 272, 726, 644, 952?

Answer: LCM of 102, 272, 726, 644, 952 is 15896496.

2. How to calculate the LCM of 102, 272, 726, 644, 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 102, 272, 726, 644, 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}.