Given numbers are 814,119,331,297

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

The LCM of 814,119,331,297 is 865691442.

Find LCM of 814,119,331,297 with Prime Factorization

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

11 x 74 x 119 x 331 x 27 = 865691442

Therefore, the lowest common multiple of 814,119,331,297 is 865691442.

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.

814 x 119 x 331 x 297 = 9522605862

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.

814 : 1, 2, 11, 22, 37, 74, 407, 814

119 : 1, 7, 17, 119

331 : 1, 331

297 : 1, 3, 9, 11, 27, 33, 99, 297

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,119,331,297, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

119:7x 17

331:331

297:3x 3x 3x 11

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

11 = 11

Therefore, the value for common factors is 11.

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 = 9522605862/(1x11)

LCM = 9522605862/11

LCM = 865691442

Thus, we can understand that the LCM of 814,119,331,297 is 865691442.

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

• LCM of 320, 485, 896, 527
• LCM of 947, 846, 479, 455
• LCM of 373, 956, 501, 671
• LCM of 509, 917, 541, 570
• LCM of 966, 428, 935, 522

1. What is the LCM of 814, 119, 331, 297?

Answer: LCM of 814, 119, 331, 297 is 865691442.

2. How to calculate the LCM of 814, 119, 331, 297?

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 814, 119, 331, 297.

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}.