Find the LCM of 535, 589, 802, 940, 241 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 535, 589, 802, 940, 241. So, keep reading to learn more.
Given numbers are 535,589,802,940,241
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 535,589,802,940,241 is 5725169398420.
Find LCM of 535,589,802,940,241 with Prime Factorization
2 | 535, 589, 802, 940, 241 |
5 | 535, 589, 401, 470, 241 |
107, 589, 401, 94, 241 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 107 x 589 x 401 x 94 x 241 = 5725169398420
Therefore, the lowest common multiple of 535,589,802,940,241 is 5725169398420.
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.
535 x 589 x 802 x 940 x 241 = 57251693984200
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.
535 : 1, 5, 107, 535
589 : 1, 19, 31, 589
802 : 1, 2, 401, 802
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
241 : 1, 241
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 535,589,802,940,241, is 1.
Now, the common factors can be found like this.
535:5x 107
589:19x 31
802:2x 401
940:2x 2x 5x 47
241:241
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5 = 10
Therefore, the value for common factors is 10.
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 = 57251693984200/(1x10)
LCM = 57251693984200/10
LCM = 5725169398420
Thus, we can understand that the LCM of 535,589,802,940,241 is 5725169398420.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 535, 589, 802, 940, 241?
Answer: LCM of 535, 589, 802, 940, 241 is 5725169398420.
2. How to calculate the LCM of 535, 589, 802, 940, 241?
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 535, 589, 802, 940, 241.
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}.