Given numbers are 135,174,460,620,584

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

The LCM of 135,174,460,620,584 is 1630174680.

Find LCM of 135,174,460,620,584 with Prime Factorization

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

2 x 2 x 3 x 5 x 9 x 29 x 23 x 31 x 146 = 1630174680

Therefore, the lowest common multiple of 135,174,460,620,584 is 1630174680.

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.

135 x 174 x 460 x 620 x 584 = 3912419232000

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.

135 : 1, 3, 5, 9, 15, 27, 45, 135

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

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

620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

584 : 1, 2, 4, 8, 73, 146, 292, 584

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 135,174,460,620,584, is 1.

Now, the common factors can be found like this.

135:3x 3x 3x 5

174:2x 3x 29

460:2x 2x 5x 23

620:2x 2x 5x 31

584:2x 2x 2x 73

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 3x 5x 5 = 2400

Therefore, the value for common factors is 2400.

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 = 3912419232000/(1x2400)

LCM = 3912419232000/2400

LCM = 1630174680

Thus, we can understand that the LCM of 135,174,460,620,584 is 1630174680.

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

• LCM of 373, 545, 206, 374, 280
• LCM of 375, 658, 487, 521, 884
• LCM of 163, 487, 456, 967, 323
• LCM of 478, 604, 408, 871, 588
• LCM of 860, 160, 152, 480, 228

1. What is the LCM of 135, 174, 460, 620, 584?

Answer: LCM of 135, 174, 460, 620, 584 is 1630174680.

2. How to calculate the LCM of 135, 174, 460, 620, 584?

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 135, 174, 460, 620, 584.

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}.