Given numbers are 582,228,961,132,210

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

The LCM of 582,228,961,132,210 is 8182588260.

Find LCM of 582,228,961,132,210 with Prime Factorization

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

2 x 2 x 3 x 97 x 19 x 961 x 11 x 35 = 8182588260

Therefore, the lowest common multiple of 582,228,961,132,210 is 8182588260.

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.

582 x 228 x 961 x 132 x 210 = 3534878128320

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.

582 : 1, 2, 3, 6, 97, 194, 291, 582

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

961 : 1, 31, 961

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

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 582,228,961,132,210, is 1.

Now, the common factors can be found like this.

582:2x 3x 97

228:2x 2x 3x 19

961:31x 31

132:2x 2x 3x 11

210:2x 3x 5x 7

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 3x 3x 3 = 432

Therefore, the value for common factors is 432.

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 = 3534878128320/(1x432)

LCM = 3534878128320/432

LCM = 8182588260

Thus, we can understand that the LCM of 582,228,961,132,210 is 8182588260.

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

• LCM of 364, 104, 448, 820, 144
• LCM of 803, 209, 440, 561, 906
• LCM of 315, 667, 260, 660, 661
• LCM of 135, 718, 635, 578, 847
• LCM of 556, 463, 339, 561, 698

1. What is the LCM of 582, 228, 961, 132, 210?

Answer: LCM of 582, 228, 961, 132, 210 is 8182588260.

2. How to calculate the LCM of 582, 228, 961, 132, 210?

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 582, 228, 961, 132, 210.

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}.