Given numbers are 120,580,254,430,620

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

The LCM of 120,580,254,430,620 is 589132680.

Find LCM of 120,580,254,430,620 with Prime Factorization

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

2 x 2 x 5 x 6 x 29 x 127 x 43 x 31 = 589132680

Therefore, the lowest common multiple of 120,580,254,430,620 is 589132680.

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.

120 x 580 x 254 x 430 x 620 = 4713061440000

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.

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

254 : 1, 2, 127, 254

430 : 1, 2, 5, 10, 43, 86, 215, 430

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 120,580,254,430,620, is 2.

Now, the common factors can be found like this.

120:2x 2x 2x 3x 5

580:2x 2x 5x 29

254:2x 127

430:2x 5x 43

620:2x 2x 5x 31

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 5x 5x 5 = 4000

Therefore, the value for common factors is 4000.

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 = 4713061440000/(2x4000)

LCM = 4713061440000/8000

LCM = 589132680

Thus, we can understand that the LCM of 120,580,254,430,620 is 589132680.

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

• LCM of 917, 349, 333, 279, 549
• LCM of 927, 547, 439, 303, 935
• LCM of 392, 119, 481, 465, 288
• LCM of 109, 961, 286, 159, 656
• LCM of 615, 469, 977, 686, 864

1. What is the LCM of 120, 580, 254, 430, 620?

Answer: LCM of 120, 580, 254, 430, 620 is 589132680.

2. How to calculate the LCM of 120, 580, 254, 430, 620?

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 120, 580, 254, 430, 620.

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}.