LCM of 762, 801, 882, 999, 601
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 762, 801, 882, 999, 601 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 762, 801, 882, 999, 601. So, keep reading to learn more.
Given numbers are 762,801,882,999,601
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 762,801,882,999,601 is 665058369906.
Find LCM of 762,801,882,999,601 with Prime Factorization
| 2 | 762, 801, 882, 999, 601 |
| 3 | 381, 801, 441, 999, 601 |
| 3 | 127, 267, 147, 333, 601 |
| 127, 89, 49, 111, 601 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 127 x 89 x 49 x 111 x 601 = 665058369906
Therefore, the lowest common multiple of 762,801,882,999,601 is 665058369906.
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.
762 x 801 x 882 x 999 x 601 = 323218367774316
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.
762 : 1, 2, 3, 6, 127, 254, 381, 762
801 : 1, 3, 9, 89, 267, 801
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
999 : 1, 3, 9, 27, 37, 111, 333, 999
601 : 1, 601
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,801,882,999,601, is 1.
Now, the common factors can be found like this.
762:2x 3x 127
801:3x 3x 89
882:2x 3x 3x 7x 7
999:3x 3x 3x 37
601:601
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 3x 3x 3x 3 = 486
Therefore, the value for common factors is 486.
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 = 323218367774316/(1x486)
LCM = 323218367774316/486
LCM = 665058369906
Thus, we can understand that the LCM of 762,801,882,999,601 is 665058369906.
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FAQs on LCM of 762, 801, 882, 999, 601
1. What is the LCM of 762, 801, 882, 999, 601?
Answer: LCM of 762, 801, 882, 999, 601 is 665058369906.
2. How to calculate the LCM of 762, 801, 882, 999, 601?
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 762, 801, 882, 999, 601.
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}.