LCM of 913, 582, 870, 899, 436
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 913, 582, 870, 899, 436 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 913, 582, 870, 899, 436. So, keep reading to learn more.
Given numbers are 913,582,870,899,436
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 913,582,870,899,436 is 520690857060.
Find LCM of 913,582,870,899,436 with Prime Factorization
| 2 | 913, 582, 870, 899, 436 |
| 3 | 913, 291, 435, 899, 218 |
| 29 | 913, 97, 145, 899, 218 |
| 913, 97, 5, 31, 218 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 913 x 97 x 5 x 31 x 218 = 520690857060
Therefore, the lowest common multiple of 913,582,870,899,436 is 520690857060.
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.
913 x 582 x 870 x 899 x 436 = 181200418256880
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.
913 : 1, 11, 83, 913
582 : 1, 2, 3, 6, 97, 194, 291, 582
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
899 : 1, 29, 31, 899
436 : 1, 2, 4, 109, 218, 436
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 913,582,870,899,436, is 1.
Now, the common factors can be found like this.
913:11x 83
582:2x 3x 97
870:2x 3x 5x 29
899:29x 31
436:2x 2x 109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 29 = 348
Therefore, the value for common factors is 348.
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 = 181200418256880/(1x348)
LCM = 181200418256880/348
LCM = 520690857060
Thus, we can understand that the LCM of 913,582,870,899,436 is 520690857060.
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FAQs on LCM of 913, 582, 870, 899, 436
1. What is the LCM of 913, 582, 870, 899, 436?
Answer: LCM of 913, 582, 870, 899, 436 is 520690857060.
2. How to calculate the LCM of 913, 582, 870, 899, 436?
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 913, 582, 870, 899, 436.
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}.