Given numbers are 243,121,415,428,440

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

The LCM of 243,121,415,428,440 is 10445121720.

Find LCM of 243,121,415,428,440 with Prime Factorization

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

2 x 2 x 5 x 11 x 243 x 11 x 83 x 107 x 2 = 10445121720

Therefore, the lowest common multiple of 243,121,415,428,440 is 10445121720.

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.

243 x 121 x 415 x 428 x 440 = 2297926778400

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.

243 : 1, 3, 9, 27, 81, 243

121 : 1, 11, 121

415 : 1, 5, 83, 415

428 : 1, 2, 4, 107, 214, 428

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 243,121,415,428,440, is 1.

Now, the common factors can be found like this.

243:3x 3x 3x 3x 3

121:11x 11

415:5x 83

428:2x 2x 107

440:2x 2x 2x 5x 11

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 5x 11 = 220

Therefore, the value for common factors is 220.

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 = 2297926778400/(1x220)

LCM = 2297926778400/220

LCM = 10445121720

Thus, we can understand that the LCM of 243,121,415,428,440 is 10445121720.

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

• LCM of 890, 733, 114, 378, 453
• LCM of 333, 185, 569, 545, 910
• LCM of 735, 900, 404, 699, 238
• LCM of 745, 728, 817, 653, 955
• LCM of 868, 683, 289, 917, 503

1. What is the LCM of 243, 121, 415, 428, 440?

Answer: LCM of 243, 121, 415, 428, 440 is 10445121720.

2. How to calculate the LCM of 243, 121, 415, 428, 440?

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 243, 121, 415, 428, 440.

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}.