Given numbers are 458,218,610,109

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

The LCM of 458,218,610,109 is 15226210.

Find LCM of 458,218,610,109 with Prime Factorization

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

2 x 109 x 229 x 1 x 305 x 1 = 15226210

Therefore, the lowest common multiple of 458,218,610,109 is 15226210.

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.

458 x 218 x 610 x 109 = 6638627560

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.

458 : 1, 2, 229, 458

218 : 1, 2, 109, 218

610 : 1, 2, 5, 10, 61, 122, 305, 610

109 : 1, 109

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 458,218,610,109, is 1.

Now, the common factors can be found like this.

458:2x 229

218:2x 109

610:2x 5x 61

109:109

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 109 = 436

Therefore, the value for common factors is 436.

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 = 6638627560/(1x436)

LCM = 6638627560/436

LCM = 15226210

Thus, we can understand that the LCM of 458,218,610,109 is 15226210.

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

• LCM of 214, 445, 154, 903
• LCM of 673, 860, 663, 787
• LCM of 740, 361, 398, 948
• LCM of 328, 555, 971, 524
• LCM of 157, 459, 153, 508

1. What is the LCM of 458, 218, 610, 109?

Answer: LCM of 458, 218, 610, 109 is 15226210.

2. How to calculate the LCM of 458, 218, 610, 109?

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 458, 218, 610, 109.

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}.