Given numbers are 242,431,415,320

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

The LCM of 242,431,415,320 is 1385130560.

Find LCM of 242,431,415,320 with Prime Factorization

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

2 x 5 x 121 x 431 x 83 x 32 = 1385130560

Therefore, the lowest common multiple of 242,431,415,320 is 1385130560.

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.

242 x 431 x 415 x 320 = 13851305600

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.

242 : 1, 2, 11, 22, 121, 242

431 : 1, 431

415 : 1, 5, 83, 415

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,431,415,320, is 1.

Now, the common factors can be found like this.

242:2x 11x 11

431:431

415:5x 83

320:2x 2x 2x 2x 2x 2x 5

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 13851305600/(1x10)

LCM = 13851305600/10

LCM = 1385130560

Thus, we can understand that the LCM of 242,431,415,320 is 1385130560.

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

• LCM of 633, 118, 791, 582
• LCM of 763, 543, 667, 235
• LCM of 932, 121, 270, 738
• LCM of 679, 837, 127, 443
• LCM of 563, 514, 371, 242

1. What is the LCM of 242, 431, 415, 320?

Answer: LCM of 242, 431, 415, 320 is 1385130560.

2. How to calculate the LCM of 242, 431, 415, 320?

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 242, 431, 415, 320.

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}.