LCM of 786, 978, 717, 834, 352
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 786, 978, 717, 834, 352 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 786, 978, 717, 834, 352. So, keep reading to learn more.
Given numbers are 786,978,717,834,352
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 786,978,717,834,352 is 749092621728.
Find LCM of 786,978,717,834,352 with Prime Factorization
| 2 | 786, 978, 717, 834, 352 |
| 3 | 393, 489, 717, 417, 176 |
| 131, 163, 239, 139, 176 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 131 x 163 x 239 x 139 x 176 = 749092621728
Therefore, the lowest common multiple of 786,978,717,834,352 is 749092621728.
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.
786 x 978 x 717 x 834 x 352 = 161804006293248
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.
786 : 1, 2, 3, 6, 131, 262, 393, 786
978 : 1, 2, 3, 6, 163, 326, 489, 978
717 : 1, 3, 239, 717
834 : 1, 2, 3, 6, 139, 278, 417, 834
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 786,978,717,834,352, is 1.
Now, the common factors can be found like this.
786:2x 3x 131
978:2x 3x 163
717:3x 239
834:2x 3x 139
352:2x 2x 2x 2x 2x 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 2x 2x 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 161804006293248/(1x216)
LCM = 161804006293248/216
LCM = 749092621728
Thus, we can understand that the LCM of 786,978,717,834,352 is 749092621728.
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FAQs on LCM of 786, 978, 717, 834, 352
1. What is the LCM of 786, 978, 717, 834, 352?
Answer: LCM of 786, 978, 717, 834, 352 is 749092621728.
2. How to calculate the LCM of 786, 978, 717, 834, 352?
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 786, 978, 717, 834, 352.
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}.