LCM of 134, 978, 702, 774, 876
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 134, 978, 702, 774, 876 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 134, 978, 702, 774, 876. So, keep reading to learn more.
Given numbers are 134,978,702,774,876
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 134,978,702,774,876 is 48130550676.
Find LCM of 134,978,702,774,876 with Prime Factorization
| 2 | 134, 978, 702, 774, 876 |
| 3 | 67, 489, 351, 387, 438 |
| 3 | 67, 163, 117, 129, 146 |
| 67, 163, 39, 43, 146 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 67 x 163 x 39 x 43 x 146 = 48130550676
Therefore, the lowest common multiple of 134,978,702,774,876 is 48130550676.
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.
134 x 978 x 702 x 774 x 876 = 62377193676096
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.
134 : 1, 2, 67, 134
978 : 1, 2, 3, 6, 163, 326, 489, 978
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 134,978,702,774,876, is 2.
Now, the common factors can be found like this.
134:2x 67
978:2x 3x 163
702:2x 3x 3x 3x 13
774:2x 3x 3x 43
876:2x 2x 3x 73
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 2x 3x 3x 3x 3 = 648
Therefore, the value for common factors is 648.
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 = 62377193676096/(2x648)
LCM = 62377193676096/1296
LCM = 48130550676
Thus, we can understand that the LCM of 134,978,702,774,876 is 48130550676.
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FAQs on LCM of 134, 978, 702, 774, 876
1. What is the LCM of 134, 978, 702, 774, 876?
Answer: LCM of 134, 978, 702, 774, 876 is 48130550676.
2. How to calculate the LCM of 134, 978, 702, 774, 876?
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 134, 978, 702, 774, 876.
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}.