Given numbers are 291,315,367,367

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

The LCM of 291,315,367,367 is 11213685.

Find LCM of 291,315,367,367 with Prime Factorization

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

3 x 367 x 97 x 105 x 1 x 1 = 11213685

Therefore, the lowest common multiple of 291,315,367,367 is 11213685.

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 315 x 367 x 367 = 12346267185

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

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

367 : 1, 367

367 : 1, 367

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 291,315,367,367, is 1.

Now, the common factors can be found like this.

291:3x 97

315:3x 3x 5x 7

367:367

367:367

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

3x 367 = 1101

Therefore, the value for common factors is 1101.

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 = 12346267185/(1x1101)

LCM = 12346267185/1101

LCM = 11213685

Thus, we can understand that the LCM of 291,315,367,367 is 11213685.

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

• LCM of 384, 514, 768, 347
• LCM of 211, 591, 883, 320
• LCM of 160, 596, 738, 713
• LCM of 728, 116, 983, 300
• LCM of 992, 842, 590, 898

1. What is the LCM of 291, 315, 367, 367?

Answer: LCM of 291, 315, 367, 367 is 11213685.

2. How to calculate the LCM of 291, 315, 367, 367?

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, 315, 367, 367.

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}.