LCM of 428, 115, 746, 516, 996
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 428, 115, 746, 516, 996 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 428, 115, 746, 516, 996. So, keep reading to learn more.
Given numbers are 428,115,746,516,996
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 428,115,746,516,996 is 196570455420.
Find LCM of 428,115,746,516,996 with Prime Factorization
| 2 | 428, 115, 746, 516, 996 |
| 2 | 214, 115, 373, 258, 498 |
| 3 | 107, 115, 373, 129, 249 |
| 107, 115, 373, 43, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 107 x 115 x 373 x 43 x 83 = 196570455420
Therefore, the lowest common multiple of 428,115,746,516,996 is 196570455420.
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.
428 x 115 x 746 x 516 x 996 = 18870763720320
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.
428 : 1, 2, 4, 107, 214, 428
115 : 1, 5, 23, 115
746 : 1, 2, 373, 746
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,115,746,516,996, is 1.
Now, the common factors can be found like this.
428:2x 2x 107
115:5x 23
746:2x 373
516:2x 2x 3x 43
996:2x 2x 3x 83
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 2x 2x 3 = 96
Therefore, the value for common factors is 96.
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 = 18870763720320/(1x96)
LCM = 18870763720320/96
LCM = 196570455420
Thus, we can understand that the LCM of 428,115,746,516,996 is 196570455420.
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FAQs on LCM of 428, 115, 746, 516, 996
1. What is the LCM of 428, 115, 746, 516, 996?
Answer: LCM of 428, 115, 746, 516, 996 is 196570455420.
2. How to calculate the LCM of 428, 115, 746, 516, 996?
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 428, 115, 746, 516, 996.
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}.