Given numbers are 113,125,460,174,984

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

The LCM of 113,125,460,174,984 is 9270633000.

Find LCM of 113,125,460,174,984 with Prime Factorization

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

2 x 2 x 3 x 5 x 113 x 25 x 23 x 29 x 82 = 9270633000

Therefore, the lowest common multiple of 113,125,460,174,984 is 9270633000.

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.

113 x 125 x 460 x 174 x 984 = 1112475960000

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.

113 : 1, 113

125 : 1, 5, 25, 125

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

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

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 113,125,460,174,984, is 1.

Now, the common factors can be found like this.

113:113

125:5x 5x 5

460:2x 2x 5x 23

174:2x 3x 29

984:2x 2x 2x 3x 41

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 3x 5 = 120

Therefore, the value for common factors is 120.

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 = 1112475960000/(1x120)

LCM = 1112475960000/120

LCM = 9270633000

Thus, we can understand that the LCM of 113,125,460,174,984 is 9270633000.

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

• LCM of 479, 248, 793, 484, 317
• LCM of 840, 548, 807, 620, 738
• LCM of 728, 186, 562, 471, 984
• LCM of 175, 139, 784, 496, 683
• LCM of 823, 651, 815, 820, 737

1. What is the LCM of 113, 125, 460, 174, 984?

Answer: LCM of 113, 125, 460, 174, 984 is 9270633000.

2. How to calculate the LCM of 113, 125, 460, 174, 984?

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 113, 125, 460, 174, 984.

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}.