Given numbers are 290,905,380,132,580

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

The LCM of 290,905,380,132,580 is 65822460.

Find LCM of 290,905,380,132,580 with Prime Factorization

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

2 x 2 x 5 x 29 x 1 x 181 x 19 x 33 x 1 = 65822460

Therefore, the lowest common multiple of 290,905,380,132,580 is 65822460.

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.

290 x 905 x 380 x 132 x 580 = 7635405360000

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.

290 : 1, 2, 5, 10, 29, 58, 145, 290

905 : 1, 5, 181, 905

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 290,905,380,132,580, is 1.

Now, the common factors can be found like this.

290:2x 5x 29

905:5x 181

380:2x 2x 5x 19

132:2x 2x 3x 11

580:2x 2x 5x 29

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 5x 29 = 116000

Therefore, the value for common factors is 116000.

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 = 7635405360000/(1x116000)

LCM = 7635405360000/116000

LCM = 65822460

Thus, we can understand that the LCM of 290,905,380,132,580 is 65822460.

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

• LCM of 228, 753, 443, 752, 586
• LCM of 586, 638, 740, 779, 856
• LCM of 108, 476, 910, 555, 201
• LCM of 758, 438, 200, 569, 182
• LCM of 584, 969, 337, 302, 677

1. What is the LCM of 290, 905, 380, 132, 580?

Answer: LCM of 290, 905, 380, 132, 580 is 65822460.

2. How to calculate the LCM of 290, 905, 380, 132, 580?

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 290, 905, 380, 132, 580.

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}.