Given numbers are 272,153,317,102,952

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

The LCM of 272,153,317,102,952 is 5432112.

Find LCM of 272,153,317,102,952 with Prime Factorization

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

2 x 2 x 2 x 3 x 17 x 2 x 1 x 317 x 3 x 7 = 5432112

Therefore, the lowest common multiple of 272,153,317,102,952 is 5432112.

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.

272 x 153 x 317 x 102 x 952 = 1281022380288

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.

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

153 : 1, 3, 9, 17, 51, 153

317 : 1, 317

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

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 272,153,317,102,952, is 1.

Now, the common factors can be found like this.

272:2x 2x 2x 2x 17

153:3x 3x 17

317:317

102:2x 3x 17

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 3x 17x 17x 17 = 235824

Therefore, the value for common factors is 235824.

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 = 1281022380288/(1x235824)

LCM = 1281022380288/235824

LCM = 5432112

Thus, we can understand that the LCM of 272,153,317,102,952 is 5432112.

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

• LCM of 440, 590, 500, 228, 691
• LCM of 779, 329, 624, 123, 887
• LCM of 579, 900, 462, 982, 922
• LCM of 663, 751, 734, 361, 987
• LCM of 309, 305, 863, 669, 142

1. What is the LCM of 272, 153, 317, 102, 952?

Answer: LCM of 272, 153, 317, 102, 952 is 5432112.

2. How to calculate the LCM of 272, 153, 317, 102, 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 272, 153, 317, 102, 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}.