LCM of 788, 333, 436, 538, 629
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 788, 333, 436, 538, 629 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 788, 333, 436, 538, 629. So, keep reading to learn more.
Given numbers are 788,333,436,538,629
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 788,333,436,538,629 is 130797110628.
Find LCM of 788,333,436,538,629 with Prime Factorization
| 2 | 788, 333, 436, 538, 629 |
| 2 | 394, 333, 218, 269, 629 |
| 37 | 197, 333, 109, 269, 629 |
| 197, 9, 109, 269, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 37 x 197 x 9 x 109 x 269 x 17 = 130797110628
Therefore, the lowest common multiple of 788,333,436,538,629 is 130797110628.
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.
788 x 333 x 436 x 538 x 629 = 38715944745888
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.
788 : 1, 2, 4, 197, 394, 788
333 : 1, 3, 9, 37, 111, 333
436 : 1, 2, 4, 109, 218, 436
538 : 1, 2, 269, 538
629 : 1, 17, 37, 629
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 788,333,436,538,629, is 1.
Now, the common factors can be found like this.
788:2x 2x 197
333:3x 3x 37
436:2x 2x 109
538:2x 269
629:17x 37
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 37 = 296
Therefore, the value for common factors is 296.
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 = 38715944745888/(1x296)
LCM = 38715944745888/296
LCM = 130797110628
Thus, we can understand that the LCM of 788,333,436,538,629 is 130797110628.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 788, 333, 436, 538, 629
1. What is the LCM of 788, 333, 436, 538, 629?
Answer: LCM of 788, 333, 436, 538, 629 is 130797110628.
2. How to calculate the LCM of 788, 333, 436, 538, 629?
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 788, 333, 436, 538, 629.
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}.