LCM of 978, 712, 949, 414, 897
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 978, 712, 949, 414, 897 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, 712, 949, 414, 897. So, keep reading to learn more.
Given numbers are 978,712,949,414,897
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 978,712,949,414,897 is 22798388808.
Find LCM of 978,712,949,414,897 with Prime Factorization
| 2 | 978, 712, 949, 414, 897 |
| 3 | 489, 356, 949, 207, 897 |
| 13 | 163, 356, 949, 69, 299 |
| 23 | 163, 356, 73, 69, 23 |
| 163, 356, 73, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 23 x 163 x 356 x 73 x 3 x 1 = 22798388808
Therefore, the lowest common multiple of 978,712,949,414,897 is 22798388808.
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 712 x 949 x 414 x 897 = 245401857129312
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
712 : 1, 2, 4, 8, 89, 178, 356, 712
949 : 1, 13, 73, 949
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
897 : 1, 3, 13, 23, 39, 69, 299, 897
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,712,949,414,897, is 1.
Now, the common factors can be found like this.
978:2x 3x 163
712:2x 2x 2x 89
949:13x 73
414:2x 3x 3x 23
897:3x 13x 23
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 13x 23 = 10764
Therefore, the value for common factors is 10764.
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 = 245401857129312/(1x10764)
LCM = 245401857129312/10764
LCM = 22798388808
Thus, we can understand that the LCM of 978,712,949,414,897 is 22798388808.
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FAQs on LCM of 978, 712, 949, 414, 897
1. What is the LCM of 978, 712, 949, 414, 897?
Answer: LCM of 978, 712, 949, 414, 897 is 22798388808.
2. How to calculate the LCM of 978, 712, 949, 414, 897?
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, 712, 949, 414, 897.
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}.