LCM of 777, 658, 595, 228, 798
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 777, 658, 595, 228, 798 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 777, 658, 595, 228, 798. So, keep reading to learn more.
Given numbers are 777,658,595,228,798
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 777,658,595,228,798 is 235912740.
Find LCM of 777,658,595,228,798 with Prime Factorization
| 2 | 777, 658, 595, 228, 798 |
| 3 | 777, 329, 595, 114, 399 |
| 7 | 259, 329, 595, 38, 133 |
| 19 | 37, 47, 85, 38, 19 |
| 37, 47, 85, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 19 x 37 x 47 x 85 x 2 x 1 = 235912740
Therefore, the lowest common multiple of 777,658,595,228,798 is 235912740.
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.
777 x 658 x 595 x 228 x 798 = 55347959756880
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.
777 : 1, 3, 7, 21, 37, 111, 259, 777
658 : 1, 2, 7, 14, 47, 94, 329, 658
595 : 1, 5, 7, 17, 35, 85, 119, 595
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 777,658,595,228,798, is 1.
Now, the common factors can be found like this.
777:3x 7x 37
658:2x 7x 47
595:5x 7x 17
228:2x 2x 3x 19
798:2x 3x 7x 19
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 3x 3x 7x 7x 7x 19 = 234612
Therefore, the value for common factors is 234612.
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 = 55347959756880/(1x234612)
LCM = 55347959756880/234612
LCM = 235912740
Thus, we can understand that the LCM of 777,658,595,228,798 is 235912740.
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FAQs on LCM of 777, 658, 595, 228, 798
1. What is the LCM of 777, 658, 595, 228, 798?
Answer: LCM of 777, 658, 595, 228, 798 is 235912740.
2. How to calculate the LCM of 777, 658, 595, 228, 798?
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 777, 658, 595, 228, 798.
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}.