Given numbers are 291,431,431,314,363

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

The LCM of 291,431,431,314,363 is 4765245474.

Find LCM of 291,431,431,314,363 with Prime Factorization

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

3 x 431 x 97 x 1 x 1 x 314 x 121 = 4765245474

Therefore, the lowest common multiple of 291,431,431,314,363 is 4765245474.

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.

291 x 431 x 431 x 314 x 363 = 6161462397882

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.

291 : 1, 3, 97, 291

431 : 1, 431

431 : 1, 431

314 : 1, 2, 157, 314

363 : 1, 3, 11, 33, 121, 363

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 291,431,431,314,363, is 1.

Now, the common factors can be found like this.

291:3x 97

431:431

431:431

314:2x 157

363:3x 11x 11

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

3x 431 = 1293

Therefore, the value for common factors is 1293.

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 = 6161462397882/(1x1293)

LCM = 6161462397882/1293

LCM = 4765245474

Thus, we can understand that the LCM of 291,431,431,314,363 is 4765245474.

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

• LCM of 440, 931, 764, 391, 577
• LCM of 571, 758, 308, 890, 460
• LCM of 623, 753, 276, 507, 791
• LCM of 780, 104, 120, 129, 134
• LCM of 552, 555, 735, 232, 583

1. What is the LCM of 291, 431, 431, 314, 363?

Answer: LCM of 291, 431, 431, 314, 363 is 4765245474.

2. How to calculate the LCM of 291, 431, 431, 314, 363?

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 291, 431, 431, 314, 363.

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}.