LCM of 771, 514, 998, 196, 199
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 771, 514, 998, 196, 199 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 771, 514, 998, 196, 199. So, keep reading to learn more.
Given numbers are 771,514,998,196,199
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 771,514,998,196,199 is 15005969916.
Find LCM of 771,514,998,196,199 with Prime Factorization
| 2 | 771, 514, 998, 196, 199 |
| 257 | 771, 257, 499, 98, 199 |
| 3, 1, 499, 98, 199 |
Multiply the prime numbers at the bottom and the left side.
2 x 257 x 3 x 1 x 499 x 98 x 199 = 15005969916
Therefore, the lowest common multiple of 771,514,998,196,199 is 15005969916.
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.
771 x 514 x 998 x 196 x 199 = 15426137073648
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.
771 : 1, 3, 257, 771
514 : 1, 2, 257, 514
998 : 1, 2, 499, 998
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
199 : 1, 199
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 771,514,998,196,199, is 1.
Now, the common factors can be found like this.
771:3x 257
514:2x 257
998:2x 499
196:2x 2x 7x 7
199:199
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 257 = 1028
Therefore, the value for common factors is 1028.
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 = 15426137073648/(1x1028)
LCM = 15426137073648/1028
LCM = 15005969916
Thus, we can understand that the LCM of 771,514,998,196,199 is 15005969916.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 771, 514, 998, 196, 199
1. What is the LCM of 771, 514, 998, 196, 199?
Answer: LCM of 771, 514, 998, 196, 199 is 15005969916.
2. How to calculate the LCM of 771, 514, 998, 196, 199?
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 771, 514, 998, 196, 199.
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}.