Given numbers are 235,920,822,174,312

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

The LCM of 235,920,822,174,312 is 6699908280.

Find LCM of 235,920,822,174,312 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 47 x 23 x 137 x 29 x 13 = 6699908280

Therefore, the lowest common multiple of 235,920,822,174,312 is 6699908280.

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.

235 x 920 x 822 x 174 x 312 = 9647867923200

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.

235 : 1, 5, 47, 235

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

822 : 1, 2, 3, 6, 137, 274, 411, 822

174 : 1, 2, 3, 6, 29, 58, 87, 174

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 235,920,822,174,312, is 1.

Now, the common factors can be found like this.

235:5x 47

920:2x 2x 2x 5x 23

822:2x 3x 137

174:2x 3x 29

312:2x 2x 2x 3x 13

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 3x 3x 5 = 1440

Therefore, the value for common factors is 1440.

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 = 9647867923200/(1x1440)

LCM = 9647867923200/1440

LCM = 6699908280

Thus, we can understand that the LCM of 235,920,822,174,312 is 6699908280.

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

• LCM of 918, 375, 231, 578, 114
• LCM of 989, 323, 820, 551, 252
• LCM of 923, 419, 151, 963, 776
• LCM of 863, 881, 889, 910, 456
• LCM of 220, 961, 924, 603, 380

1. What is the LCM of 235, 920, 822, 174, 312?

Answer: LCM of 235, 920, 822, 174, 312 is 6699908280.

2. How to calculate the LCM of 235, 920, 822, 174, 312?

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 235, 920, 822, 174, 312.

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}.