LCM of 605, 195, 806, 989, 978
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 605, 195, 806, 989, 978 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 605, 195, 806, 989, 978. So, keep reading to learn more.
Given numbers are 605,195,806,989,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 605,195,806,989,978 is 235828108230.
Find LCM of 605,195,806,989,978 with Prime Factorization
| 2 | 605, 195, 806, 989, 978 |
| 3 | 605, 195, 403, 989, 489 |
| 5 | 605, 65, 403, 989, 163 |
| 13 | 121, 13, 403, 989, 163 |
| 121, 1, 31, 989, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 121 x 1 x 31 x 989 x 163 = 235828108230
Therefore, the lowest common multiple of 605,195,806,989,978 is 235828108230.
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.
605 x 195 x 806 x 989 x 978 = 91972962209700
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.
605 : 1, 5, 11, 55, 121, 605
195 : 1, 3, 5, 13, 15, 39, 65, 195
806 : 1, 2, 13, 26, 31, 62, 403, 806
989 : 1, 23, 43, 989
978 : 1, 2, 3, 6, 163, 326, 489, 978
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 605,195,806,989,978, is 1.
Now, the common factors can be found like this.
605:5x 11x 11
195:3x 5x 13
806:2x 13x 31
989:23x 43
978:2x 3x 163
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 5x 13 = 390
Therefore, the value for common factors is 390.
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 = 91972962209700/(1x390)
LCM = 91972962209700/390
LCM = 235828108230
Thus, we can understand that the LCM of 605,195,806,989,978 is 235828108230.
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FAQs on LCM of 605, 195, 806, 989, 978
1. What is the LCM of 605, 195, 806, 989, 978?
Answer: LCM of 605, 195, 806, 989, 978 is 235828108230.
2. How to calculate the LCM of 605, 195, 806, 989, 978?
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 605, 195, 806, 989, 978.
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}.