LCM of 415, 794, 778, 517, 146
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 415, 794, 778, 517, 146 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 415, 794, 778, 517, 146. So, keep reading to learn more.
Given numbers are 415,794,778,517,146
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 415,794,778,517,146 is 4837618357990.
Find LCM of 415,794,778,517,146 with Prime Factorization
| 2 | 415, 794, 778, 517, 146 |
| 415, 397, 389, 517, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 415 x 397 x 389 x 517 x 73 = 4837618357990
Therefore, the lowest common multiple of 415,794,778,517,146 is 4837618357990.
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.
415 x 794 x 778 x 517 x 146 = 19350473431960
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.
415 : 1, 5, 83, 415
794 : 1, 2, 397, 794
778 : 1, 2, 389, 778
517 : 1, 11, 47, 517
146 : 1, 2, 73, 146
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 415,794,778,517,146, is 1.
Now, the common factors can be found like this.
415:5x 83
794:2x 397
778:2x 389
517:11x 47
146:2x 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 2 = 4
Therefore, the value for common factors is 4.
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 = 19350473431960/(1x4)
LCM = 19350473431960/4
LCM = 4837618357990
Thus, we can understand that the LCM of 415,794,778,517,146 is 4837618357990.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 415, 794, 778, 517, 146
1. What is the LCM of 415, 794, 778, 517, 146?
Answer: LCM of 415, 794, 778, 517, 146 is 4837618357990.
2. How to calculate the LCM of 415, 794, 778, 517, 146?
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 415, 794, 778, 517, 146.
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}.