LCM of 310, 220, 637, 845, 806
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 310, 220, 637, 845, 806 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 310, 220, 637, 845, 806. So, keep reading to learn more.
Given numbers are 310,220,637,845,806
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 310,220,637,845,806 is 56476420.
Find LCM of 310,220,637,845,806 with Prime Factorization
| 2 | 310, 220, 637, 845, 806 |
| 5 | 155, 110, 637, 845, 403 |
| 13 | 31, 22, 637, 169, 403 |
| 31 | 31, 22, 49, 13, 31 |
| 1, 22, 49, 13, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 31 x 1 x 22 x 49 x 13 x 1 = 56476420
Therefore, the lowest common multiple of 310,220,637,845,806 is 56476420.
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.
310 x 220 x 637 x 845 x 806 = 29587996438000
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.
310 : 1, 2, 5, 10, 31, 62, 155, 310
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
637 : 1, 7, 13, 49, 91, 637
845 : 1, 5, 13, 65, 169, 845
806 : 1, 2, 13, 26, 31, 62, 403, 806
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,220,637,845,806, is 1.
Now, the common factors can be found like this.
310:2x 5x 31
220:2x 2x 5x 11
637:7x 7x 13
845:5x 13x 13
806:2x 13x 31
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 5x 5x 13x 13x 31 = 523900
Therefore, the value for common factors is 523900.
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 = 29587996438000/(1x523900)
LCM = 29587996438000/523900
LCM = 56476420
Thus, we can understand that the LCM of 310,220,637,845,806 is 56476420.
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FAQs on LCM of 310, 220, 637, 845, 806
1. What is the LCM of 310, 220, 637, 845, 806?
Answer: LCM of 310, 220, 637, 845, 806 is 56476420.
2. How to calculate the LCM of 310, 220, 637, 845, 806?
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 310, 220, 637, 845, 806.
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}.