Given numbers are 894,131,317,100,590

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

The LCM of 894,131,317,100,590 is 109519157100.

Find LCM of 894,131,317,100,590 with Prime Factorization

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

2 x 5 x 447 x 131 x 317 x 10 x 59 = 109519157100

Therefore, the lowest common multiple of 894,131,317,100,590 is 109519157100.

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 131 x 317 x 100 x 590 = 2190383142000

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

131 : 1, 131

317 : 1, 317

100 : 1, 2, 4, 5, 10, 20, 25, 50, 100

590 : 1, 2, 5, 10, 59, 118, 295, 590

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,131,317,100,590, is 1.

Now, the common factors can be found like this.

894:2x 3x 149

131:131

317:317

100:2x 2x 5x 5

590:2x 5x 59

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 5 = 20

Therefore, the value for common factors is 20.

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 = 2190383142000/(1x20)

LCM = 2190383142000/20

LCM = 109519157100

Thus, we can understand that the LCM of 894,131,317,100,590 is 109519157100.

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

• LCM of 899, 911, 965, 549, 151
• LCM of 185, 703, 251, 794, 767
• LCM of 430, 672, 862, 327, 980
• LCM of 424, 677, 193, 522, 436
• LCM of 525, 285, 148, 636, 440

1. What is the LCM of 894, 131, 317, 100, 590?

Answer: LCM of 894, 131, 317, 100, 590 is 109519157100.

2. How to calculate the LCM of 894, 131, 317, 100, 590?

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, 131, 317, 100, 590.

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}.