Find the LCM of 521, 867, 969, 817, 185 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 521, 867, 969, 817, 185. So, keep reading to learn more.
Given numbers are 521,867,969,817,185
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 521,867,969,817,185 is 68273254515.
Find LCM of 521,867,969,817,185 with Prime Factorization
3 | 521, 867, 969, 817, 185 |
17 | 521, 289, 323, 817, 185 |
19 | 521, 17, 19, 817, 185 |
521, 17, 1, 43, 185 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 19 x 521 x 17 x 1 x 43 x 185 = 68273254515
Therefore, the lowest common multiple of 521,867,969,817,185 is 68273254515.
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.
521 x 867 x 969 x 817 x 185 = 66156783625035
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.
521 : 1, 521
867 : 1, 3, 17, 51, 289, 867
969 : 1, 3, 17, 19, 51, 57, 323, 969
817 : 1, 19, 43, 817
185 : 1, 5, 37, 185
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 521,867,969,817,185, is 1.
Now, the common factors can be found like this.
521:521
867:3x 17x 17
969:3x 17x 19
817:19x 43
185:5x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 17x 19 = 969
Therefore, the value for common factors is 969.
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 = 66156783625035/(1x969)
LCM = 66156783625035/969
LCM = 68273254515
Thus, we can understand that the LCM of 521,867,969,817,185 is 68273254515.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 521, 867, 969, 817, 185?
Answer: LCM of 521, 867, 969, 817, 185 is 68273254515.
2. How to calculate the LCM of 521, 867, 969, 817, 185?
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 521, 867, 969, 817, 185.
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}.