Find the LCM of 335, 804, 517, 411 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 335, 804, 517, 411. So, keep reading to learn more.
Given numbers are 335,804,517,411
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 335,804,517,411 is 284732580.
Find LCM of 335,804,517,411 with Prime Factorization
3 | 335, 804, 517, 411 |
67 | 335, 268, 517, 137 |
5, 4, 517, 137 |
Multiply the prime numbers at the bottom and the left side.
3 x 67 x 5 x 4 x 517 x 137 = 284732580
Therefore, the lowest common multiple of 335,804,517,411 is 284732580.
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.
335 x 804 x 517 x 411 = 57231248580
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.
335 : 1, 5, 67, 335
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
517 : 1, 11, 47, 517
411 : 1, 3, 137, 411
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 335,804,517,411, is 1.
Now, the common factors can be found like this.
335:5x 67
804:2x 2x 3x 67
517:11x 47
411:3x 137
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 67 = 201
Therefore, the value for common factors is 201.
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 = 57231248580/(1x201)
LCM = 57231248580/201
LCM = 284732580
Thus, we can understand that the LCM of 335,804,517,411 is 284732580.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 335, 804, 517, 411?
Answer: LCM of 335, 804, 517, 411 is 284732580.
2. How to calculate the LCM of 335, 804, 517, 411?
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 335, 804, 517, 411.
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}.