LCM of 978, 208, 605, 181, 847
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 978, 208, 605, 181, 847 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 978, 208, 605, 181, 847. So, keep reading to learn more.
Given numbers are 978,208,605,181,847
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 978,208,605,181,847 is 77965807920.
Find LCM of 978,208,605,181,847 with Prime Factorization
| 2 | 978, 208, 605, 181, 847 |
| 11 | 489, 104, 605, 181, 847 |
| 11 | 489, 104, 55, 181, 77 |
| 489, 104, 5, 181, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 11 x 489 x 104 x 5 x 181 x 7 = 77965807920
Therefore, the lowest common multiple of 978,208,605,181,847 is 77965807920.
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.
978 x 208 x 605 x 181 x 847 = 18867725516640
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.
978 : 1, 2, 3, 6, 163, 326, 489, 978
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
605 : 1, 5, 11, 55, 121, 605
181 : 1, 181
847 : 1, 7, 11, 77, 121, 847
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,208,605,181,847, is 1.
Now, the common factors can be found like this.
978:2x 3x 163
208:2x 2x 2x 2x 13
605:5x 11x 11
181:181
847:7x 11x 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 11x 11 = 242
Therefore, the value for common factors is 242.
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 = 18867725516640/(1x242)
LCM = 18867725516640/242
LCM = 77965807920
Thus, we can understand that the LCM of 978,208,605,181,847 is 77965807920.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 978, 208, 605, 181, 847
1. What is the LCM of 978, 208, 605, 181, 847?
Answer: LCM of 978, 208, 605, 181, 847 is 77965807920.
2. How to calculate the LCM of 978, 208, 605, 181, 847?
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 978, 208, 605, 181, 847.
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}.