LCM of 586, 219, 737, 548, 957
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 586, 219, 737, 548, 957 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 586, 219, 737, 548, 957. So, keep reading to learn more.
Given numbers are 586,219,737,548,957
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 586,219,737,548,957 is 751549827468.
Find LCM of 586,219,737,548,957 with Prime Factorization
| 2 | 586, 219, 737, 548, 957 |
| 3 | 293, 219, 737, 274, 957 |
| 11 | 293, 73, 737, 274, 319 |
| 293, 73, 67, 274, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 293 x 73 x 67 x 274 x 29 = 751549827468
Therefore, the lowest common multiple of 586,219,737,548,957 is 751549827468.
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.
586 x 219 x 737 x 548 x 957 = 49602288612888
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.
586 : 1, 2, 293, 586
219 : 1, 3, 73, 219
737 : 1, 11, 67, 737
548 : 1, 2, 4, 137, 274, 548
957 : 1, 3, 11, 29, 33, 87, 319, 957
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,219,737,548,957, is 1.
Now, the common factors can be found like this.
586:2x 293
219:3x 73
737:11x 67
548:2x 2x 137
957:3x 11x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 11 = 66
Therefore, the value for common factors is 66.
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 = 49602288612888/(1x66)
LCM = 49602288612888/66
LCM = 751549827468
Thus, we can understand that the LCM of 586,219,737,548,957 is 751549827468.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 586, 219, 737, 548, 957
1. What is the LCM of 586, 219, 737, 548, 957?
Answer: LCM of 586, 219, 737, 548, 957 is 751549827468.
2. How to calculate the LCM of 586, 219, 737, 548, 957?
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 586, 219, 737, 548, 957.
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}.