LCM of 917, 799, 806, 262, 962
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 917, 799, 806, 262, 962 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 917, 799, 806, 262, 962. So, keep reading to learn more.
Given numbers are 917,799,806,262,962
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 917,799,806,262,962 is 21850072426.
Find LCM of 917,799,806,262,962 with Prime Factorization
| 2 | 917, 799, 806, 262, 962 |
| 13 | 917, 799, 403, 131, 481 |
| 131 | 917, 799, 31, 131, 37 |
| 7, 799, 31, 1, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 131 x 7 x 799 x 31 x 1 x 37 = 21850072426
Therefore, the lowest common multiple of 917,799,806,262,962 is 21850072426.
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.
917 x 799 x 806 x 262 x 962 = 148842693365912
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.
917 : 1, 7, 131, 917
799 : 1, 17, 47, 799
806 : 1, 2, 13, 26, 31, 62, 403, 806
262 : 1, 2, 131, 262
962 : 1, 2, 13, 26, 37, 74, 481, 962
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 917,799,806,262,962, is 1.
Now, the common factors can be found like this.
917:7x 131
799:17x 47
806:2x 13x 31
262:2x 131
962:2x 13x 37
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 13x 131 = 6812
Therefore, the value for common factors is 6812.
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 = 148842693365912/(1x6812)
LCM = 148842693365912/6812
LCM = 21850072426
Thus, we can understand that the LCM of 917,799,806,262,962 is 21850072426.
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FAQs on LCM of 917, 799, 806, 262, 962
1. What is the LCM of 917, 799, 806, 262, 962?
Answer: LCM of 917, 799, 806, 262, 962 is 21850072426.
2. How to calculate the LCM of 917, 799, 806, 262, 962?
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 917, 799, 806, 262, 962.
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}.