LCM of 845, 303, 469, 924, 660
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 845, 303, 469, 924, 660 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 845, 303, 469, 924, 660. So, keep reading to learn more.
Given numbers are 845,303,469,924,660
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 845,303,469,924,660 is 5283538260.
Find LCM of 845,303,469,924,660 with Prime Factorization
| 2 | 845, 303, 469, 924, 660 |
| 2 | 845, 303, 469, 462, 330 |
| 3 | 845, 303, 469, 231, 165 |
| 5 | 845, 101, 469, 77, 55 |
| 7 | 169, 101, 469, 77, 11 |
| 11 | 169, 101, 67, 11, 11 |
| 169, 101, 67, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 11 x 169 x 101 x 67 x 1 x 1 = 5283538260
Therefore, the lowest common multiple of 845,303,469,924,660 is 5283538260.
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.
845 x 303 x 469 x 924 x 660 = 73229840283600
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.
845 : 1, 5, 13, 65, 169, 845
303 : 1, 3, 101, 303
469 : 1, 7, 67, 469
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 845,303,469,924,660, is 1.
Now, the common factors can be found like this.
845:5x 13x 13
303:3x 101
469:7x 67
924:2x 2x 3x 7x 11
660:2x 2x 3x 5x 11
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 3x 5x 7x 11 = 13860
Therefore, the value for common factors is 13860.
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 = 73229840283600/(1x13860)
LCM = 73229840283600/13860
LCM = 5283538260
Thus, we can understand that the LCM of 845,303,469,924,660 is 5283538260.
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FAQs on LCM of 845, 303, 469, 924, 660
1. What is the LCM of 845, 303, 469, 924, 660?
Answer: LCM of 845, 303, 469, 924, 660 is 5283538260.
2. How to calculate the LCM of 845, 303, 469, 924, 660?
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 845, 303, 469, 924, 660.
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}.