Find the LCM of 915, 439, 726, 795, 749 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 915, 439, 726, 795, 749. So, keep reading to learn more.
Given numbers are 915,439,726,795,749
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 915,439,726,795,749 is 3858856845690.
Find LCM of 915,439,726,795,749 with Prime Factorization
3 | 915, 439, 726, 795, 749 |
5 | 305, 439, 242, 265, 749 |
61, 439, 242, 53, 749 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 61 x 439 x 242 x 53 x 749 = 3858856845690
Therefore, the lowest common multiple of 915,439,726,795,749 is 3858856845690.
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.
915 x 439 x 726 x 795 x 749 = 173648558056050
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.
915 : 1, 3, 5, 15, 61, 183, 305, 915
439 : 1, 439
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
795 : 1, 3, 5, 15, 53, 159, 265, 795
749 : 1, 7, 107, 749
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 915,439,726,795,749, is 1.
Now, the common factors can be found like this.
915:3x 5x 61
439:439
726:2x 3x 11x 11
795:3x 5x 53
749:7x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5 = 45
Therefore, the value for common factors is 45.
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 = 173648558056050/(1x45)
LCM = 173648558056050/45
LCM = 3858856845690
Thus, we can understand that the LCM of 915,439,726,795,749 is 3858856845690.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 915, 439, 726, 795, 749?
Answer: LCM of 915, 439, 726, 795, 749 is 3858856845690.
2. How to calculate the LCM of 915, 439, 726, 795, 749?
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 915, 439, 726, 795, 749.
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}.