Given numbers are 363,21,357,291

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

The LCM of 363,21,357,291 is 4190109.

Find LCM of 363,21,357,291 with Prime Factorization

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

3 x 7 x 121 x 1 x 17 x 97 = 4190109

Therefore, the lowest common multiple of 363,21,357,291 is 4190109.

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.

363 x 21 x 357 x 291 = 791930601

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.

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

21 : 1, 3, 7, 21

357 : 1, 3, 7, 17, 21, 51, 119, 357

291 : 1, 3, 97, 291

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,21,357,291, is 3.

Now, the common factors can be found like this.

363:3x 11x 11

21:3x 7

357:3x 7x 17

291:3x 97

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

3x 3x 7 = 63

Therefore, the value for common factors is 63.

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 = 791930601/(3x63)

LCM = 791930601/189

LCM = 4190109

Thus, we can understand that the LCM of 363,21,357,291 is 4190109.

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

• LCM of 327, 60, 819, 208
• LCM of 475, 67, 872, 342
• LCM of 733, 96, 354, 449
• LCM of 350, 76, 718, 390
• LCM of 125, 47, 650, 198

1. What is the LCM of 363, 21, 357, 291?

Answer: LCM of 363, 21, 357, 291 is 4190109.

2. How to calculate the LCM of 363, 21, 357, 291?

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 363, 21, 357, 291.

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}.