Given numbers are 894,988,414,920,447

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

The LCM of 894,988,414,920,447 is 304728840.

Find LCM of 894,988,414,920,447 with Prime Factorization

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

2 x 2 x 3 x 23 x 149 x 1 x 247 x 3 x 10 x 1 = 304728840

Therefore, the lowest common multiple of 894,988,414,920,447 is 304728840.

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.

894 x 988 x 414 x 920 x 447 = 150380025793920

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.

894 : 1, 2, 3, 6, 149, 298, 447, 894

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

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

447 : 1, 3, 149, 447

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,988,414,920,447, is 1.

Now, the common factors can be found like this.

894:2x 3x 149

988:2x 2x 13x 19

414:2x 3x 3x 23

920:2x 2x 2x 5x 23

447:3x 149

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 3x 23x 149 = 493488

Therefore, the value for common factors is 493488.

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 = 150380025793920/(1x493488)

LCM = 150380025793920/493488

LCM = 304728840

Thus, we can understand that the LCM of 894,988,414,920,447 is 304728840.

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

• LCM of 101, 680, 765, 227, 535
• LCM of 288, 717, 102, 700, 685
• LCM of 237, 676, 877, 805, 920
• LCM of 195, 142, 613, 992, 251
• LCM of 789, 285, 717, 532, 910

1. What is the LCM of 894, 988, 414, 920, 447?

Answer: LCM of 894, 988, 414, 920, 447 is 304728840.

2. How to calculate the LCM of 894, 988, 414, 920, 447?

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 894, 988, 414, 920, 447.

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}.