LCM of 778, 639, 990, 529, 198
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 778, 639, 990, 529, 198 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 778, 639, 990, 529, 198. So, keep reading to learn more.
Given numbers are 778,639,990,529,198
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 778,639,990,529,198 is 14464346490.
Find LCM of 778,639,990,529,198 with Prime Factorization
| 2 | 778, 639, 990, 529, 198 |
| 3 | 389, 639, 495, 529, 99 |
| 3 | 389, 213, 165, 529, 33 |
| 11 | 389, 71, 55, 529, 11 |
| 389, 71, 5, 529, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 389 x 71 x 5 x 529 x 1 = 14464346490
Therefore, the lowest common multiple of 778,639,990,529,198 is 14464346490.
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.
778 x 639 x 990 x 529 x 198 = 51550930890360
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.
778 : 1, 2, 389, 778
639 : 1, 3, 9, 71, 213, 639
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
529 : 1, 23, 529
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 778,639,990,529,198, is 1.
Now, the common factors can be found like this.
778:2x 389
639:3x 3x 71
990:2x 3x 3x 5x 11
529:23x 23
198:2x 3x 3x 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 3x 3x 3x 3x 11 = 3564
Therefore, the value for common factors is 3564.
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 = 51550930890360/(1x3564)
LCM = 51550930890360/3564
LCM = 14464346490
Thus, we can understand that the LCM of 778,639,990,529,198 is 14464346490.
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FAQs on LCM of 778, 639, 990, 529, 198
1. What is the LCM of 778, 639, 990, 529, 198?
Answer: LCM of 778, 639, 990, 529, 198 is 14464346490.
2. How to calculate the LCM of 778, 639, 990, 529, 198?
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 778, 639, 990, 529, 198.
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}.