LCM of 853, 247, 406, 504, 717
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 853, 247, 406, 504, 717 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 853, 247, 406, 504, 717. So, keep reading to learn more.
Given numbers are 853,247,406,504,717
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 853,247,406,504,717 is 735990857784.
Find LCM of 853,247,406,504,717 with Prime Factorization
| 2 | 853, 247, 406, 504, 717 |
| 3 | 853, 247, 203, 252, 717 |
| 7 | 853, 247, 203, 84, 239 |
| 853, 247, 29, 12, 239 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 853 x 247 x 29 x 12 x 239 = 735990857784
Therefore, the lowest common multiple of 853,247,406,504,717 is 735990857784.
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.
853 x 247 x 406 x 504 x 717 = 30911616026928
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.
853 : 1, 853
247 : 1, 13, 19, 247
406 : 1, 2, 7, 14, 29, 58, 203, 406
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
717 : 1, 3, 239, 717
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 853,247,406,504,717, is 1.
Now, the common factors can be found like this.
853:853
247:13x 19
406:2x 7x 29
504:2x 2x 2x 3x 3x 7
717:3x 239
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 7 = 42
Therefore, the value for common factors is 42.
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 = 30911616026928/(1x42)
LCM = 30911616026928/42
LCM = 735990857784
Thus, we can understand that the LCM of 853,247,406,504,717 is 735990857784.
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FAQs on LCM of 853, 247, 406, 504, 717
1. What is the LCM of 853, 247, 406, 504, 717?
Answer: LCM of 853, 247, 406, 504, 717 is 735990857784.
2. How to calculate the LCM of 853, 247, 406, 504, 717?
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 853, 247, 406, 504, 717.
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}.