Find the LCM of 845, 610, 242, 418 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 845, 610, 242, 418. So, keep reading to learn more.
Given numbers are 845,610,242,418
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 845,610,242,418 is 237003910.
Find LCM of 845,610,242,418 with Prime Factorization
2 | 845, 610, 242, 418 |
5 | 845, 305, 121, 209 |
11 | 169, 61, 121, 209 |
169, 61, 11, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 169 x 61 x 11 x 19 = 237003910
Therefore, the lowest common multiple of 845,610,242,418 is 237003910.
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.
845 x 610 x 242 x 418 = 52140860200
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.
845 : 1, 5, 13, 65, 169, 845
610 : 1, 2, 5, 10, 61, 122, 305, 610
242 : 1, 2, 11, 22, 121, 242
418 : 1, 2, 11, 19, 22, 38, 209, 418
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 845,610,242,418, is 1.
Now, the common factors can be found like this.
845:5x 13x 13
610:2x 5x 61
242:2x 11x 11
418:2x 11x 19
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 5x 11 = 220
Therefore, the value for common factors is 220.
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 = 52140860200/(1x220)
LCM = 52140860200/220
LCM = 237003910
Thus, we can understand that the LCM of 845,610,242,418 is 237003910.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 845, 610, 242, 418?
Answer: LCM of 845, 610, 242, 418 is 237003910.
2. How to calculate the LCM of 845, 610, 242, 418?
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 845, 610, 242, 418.
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}.