Given numbers are 311,121,368,404,644

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

The LCM of 311,121,368,404,644 is 9790683056.

Find LCM of 311,121,368,404,644 with Prime Factorization

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

2 x 2 x 23 x 311 x 121 x 4 x 101 x 7 = 9790683056

Therefore, the lowest common multiple of 311,121,368,404,644 is 9790683056.

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.

311 x 121 x 368 x 404 x 644 = 3602971364608

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.

311 : 1, 311

121 : 1, 11, 121

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

404 : 1, 2, 4, 101, 202, 404

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,121,368,404,644, is 1.

Now, the common factors can be found like this.

311:311

121:11x 11

368:2x 2x 2x 2x 23

404:2x 2x 101

644:2x 2x 7x 23

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 23 = 368

Therefore, the value for common factors is 368.

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 = 3602971364608/(1x368)

LCM = 3602971364608/368

LCM = 9790683056

Thus, we can understand that the LCM of 311,121,368,404,644 is 9790683056.

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

• LCM of 699, 656, 986, 854, 144
• LCM of 340, 880, 245, 461, 501
• LCM of 102, 594, 739, 190, 786
• LCM of 247, 547, 556, 738, 539
• LCM of 477, 462, 513, 476, 684

1. What is the LCM of 311, 121, 368, 404, 644?

Answer: LCM of 311, 121, 368, 404, 644 is 9790683056.

2. How to calculate the LCM of 311, 121, 368, 404, 644?

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 311, 121, 368, 404, 644.

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}.