LCM of 815, 746, 460, 211, 815
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 815, 746, 460, 211, 815 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 815, 746, 460, 211, 815. So, keep reading to learn more.
Given numbers are 815,746,460,211,815
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 815,746,460,211,815 is 5901150940.
Find LCM of 815,746,460,211,815 with Prime Factorization
| 2 | 815, 746, 460, 211, 815 |
| 5 | 815, 373, 230, 211, 815 |
| 163 | 163, 373, 46, 211, 163 |
| 1, 373, 46, 211, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 163 x 1 x 373 x 46 x 211 x 1 = 5901150940
Therefore, the lowest common multiple of 815,746,460,211,815 is 5901150940.
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.
815 x 746 x 460 x 211 x 815 = 48094380161000
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.
815 : 1, 5, 163, 815
746 : 1, 2, 373, 746
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
211 : 1, 211
815 : 1, 5, 163, 815
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 815,746,460,211,815, is 1.
Now, the common factors can be found like this.
815:5x 163
746:2x 373
460:2x 2x 5x 23
211:211
815:5x 163
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 163 = 8150
Therefore, the value for common factors is 8150.
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 = 48094380161000/(1x8150)
LCM = 48094380161000/8150
LCM = 5901150940
Thus, we can understand that the LCM of 815,746,460,211,815 is 5901150940.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 815, 746, 460, 211, 815
1. What is the LCM of 815, 746, 460, 211, 815?
Answer: LCM of 815, 746, 460, 211, 815 is 5901150940.
2. How to calculate the LCM of 815, 746, 460, 211, 815?
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 815, 746, 460, 211, 815.
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}.