Given numbers are 920,283,952,400,110

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

The LCM of 920,283,952,400,110 is 3408112400.

Find LCM of 920,283,952,400,110 with Prime Factorization

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

2 x 2 x 2 x 5 x 23 x 283 x 119 x 10 x 11 = 3408112400

Therefore, the lowest common multiple of 920,283,952,400,110 is 3408112400.

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.

920 x 283 x 952 x 400 x 110 = 10905959680000

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.

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

283 : 1, 283

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

110 : 1, 2, 5, 10, 11, 22, 55, 110

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 920,283,952,400,110, is 1.

Now, the common factors can be found like this.

920:2x 2x 2x 5x 23

283:283

952:2x 2x 2x 7x 17

400:2x 2x 2x 2x 5x 5

110:2x 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 2x 2x 2x 2x 2x 5x 5 = 3200

Therefore, the value for common factors is 3200.

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 = 10905959680000/(1x3200)

LCM = 10905959680000/3200

LCM = 3408112400

Thus, we can understand that the LCM of 920,283,952,400,110 is 3408112400.

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

• LCM of 905, 218, 436, 831, 337
• LCM of 653, 714, 437, 807, 388
• LCM of 712, 690, 776, 985, 158
• LCM of 657, 161, 529, 125, 369
• LCM of 861, 765, 274, 575, 449

1. What is the LCM of 920, 283, 952, 400, 110?

Answer: LCM of 920, 283, 952, 400, 110 is 3408112400.

2. How to calculate the LCM of 920, 283, 952, 400, 110?

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 920, 283, 952, 400, 110.

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}.