Given numbers are 914,653,898,345,824

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

The LCM of 914,653,898,345,824 is 38090969724120.

Find LCM of 914,653,898,345,824 with Prime Factorization

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

2 x 457 x 653 x 449 x 345 x 412 = 38090969724120

Therefore, the lowest common multiple of 914,653,898,345,824 is 38090969724120.

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.

914 x 653 x 898 x 345 x 824 = 152363878896480

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.

914 : 1, 2, 457, 914

653 : 1, 653

898 : 1, 2, 449, 898

345 : 1, 3, 5, 15, 23, 69, 115, 345

824 : 1, 2, 4, 8, 103, 206, 412, 824

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,653,898,345,824, is 1.

Now, the common factors can be found like this.

914:2x 457

653:653

898:2x 449

345:3x 5x 23

824:2x 2x 2x 103

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 152363878896480/(1x4)

LCM = 152363878896480/4

LCM = 38090969724120

Thus, we can understand that the LCM of 914,653,898,345,824 is 38090969724120.

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

• LCM of 171, 529, 826, 781, 971
• LCM of 175, 972, 191, 794, 632
• LCM of 109, 782, 373, 391, 710
• LCM of 261, 416, 870, 604, 687
• LCM of 127, 412, 124, 208, 723

1. What is the LCM of 914, 653, 898, 345, 824?

Answer: LCM of 914, 653, 898, 345, 824 is 38090969724120.

2. How to calculate the LCM of 914, 653, 898, 345, 824?

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 914, 653, 898, 345, 824.

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}.