Given numbers are 230,291,732,624,560

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

The LCM of 230,291,732,624,560 is 2972227440.

Find LCM of 230,291,732,624,560 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 5 x 23 x 97 x 61 x 13 x 7 = 2972227440

Therefore, the lowest common multiple of 230,291,732,624,560 is 2972227440.

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.

230 x 291 x 732 x 624 x 560 = 17120030054400

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.

230 : 1, 2, 5, 10, 23, 46, 115, 230

291 : 1, 3, 97, 291

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,291,732,624,560, is 1.

Now, the common factors can be found like this.

230:2x 5x 23

291:3x 97

732:2x 2x 3x 61

624:2x 2x 2x 2x 3x 13

560:2x 2x 2x 2x 5x 7

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 2x 2x 2x 2x 2x 3x 3x 5 = 5760

Therefore, the value for common factors is 5760.

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 = 17120030054400/(1x5760)

LCM = 17120030054400/5760

LCM = 2972227440

Thus, we can understand that the LCM of 230,291,732,624,560 is 2972227440.

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

• LCM of 866, 901, 724, 749, 881
• LCM of 432, 488, 962, 871, 888
• LCM of 120, 115, 732, 524, 474
• LCM of 176, 811, 697, 913, 388
• LCM of 160, 261, 891, 222, 129

1. What is the LCM of 230, 291, 732, 624, 560?

Answer: LCM of 230, 291, 732, 624, 560 is 2972227440.

2. How to calculate the LCM of 230, 291, 732, 624, 560?

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 230, 291, 732, 624, 560.

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}.