Given numbers are 460,366,535,612,874

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

The LCM of 460,366,535,612,874 is 8728034940.

Find LCM of 460,366,535,612,874 with Prime Factorization

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

2 x 2 x 3 x 5 x 23 x 1 x 61 x 107 x 51 x 19 = 8728034940

Therefore, the lowest common multiple of 460,366,535,612,874 is 8728034940.

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.

460 x 366 x 535 x 612 x 874 = 48178752868800

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

366 : 1, 2, 3, 6, 61, 122, 183, 366

535 : 1, 5, 107, 535

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

874 : 1, 2, 19, 23, 38, 46, 437, 874

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,366,535,612,874, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

366:2x 3x 61

535:5x 107

612:2x 2x 3x 3x 17

874:2x 19x 23

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 3x 5x 23 = 5520

Therefore, the value for common factors is 5520.

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 = 48178752868800/(1x5520)

LCM = 48178752868800/5520

LCM = 8728034940

Thus, we can understand that the LCM of 460,366,535,612,874 is 8728034940.

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

• LCM of 852, 707, 388, 247, 375
• LCM of 517, 195, 977, 362, 404
• LCM of 802, 389, 474, 148, 416
• LCM of 439, 885, 891, 254, 756
• LCM of 492, 154, 957, 851, 736

1. What is the LCM of 460, 366, 535, 612, 874?

Answer: LCM of 460, 366, 535, 612, 874 is 8728034940.

2. How to calculate the LCM of 460, 366, 535, 612, 874?

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 460, 366, 535, 612, 874.

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}.