LCM of 199, 780, 754, 516, 388
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 199, 780, 754, 516, 388 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 199, 780, 754, 516, 388. So, keep reading to learn more.
Given numbers are 199,780,754,516,388
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 199,780,754,516,388 is 18775255980.
Find LCM of 199,780,754,516,388 with Prime Factorization
| 2 | 199, 780, 754, 516, 388 |
| 2 | 199, 390, 377, 258, 194 |
| 3 | 199, 195, 377, 129, 97 |
| 13 | 199, 65, 377, 43, 97 |
| 199, 5, 29, 43, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 199 x 5 x 29 x 43 x 97 = 18775255980
Therefore, the lowest common multiple of 199,780,754,516,388 is 18775255980.
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.
199 x 780 x 754 x 516 x 388 = 23431519463040
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.
199 : 1, 199
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
754 : 1, 2, 13, 26, 29, 58, 377, 754
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
388 : 1, 2, 4, 97, 194, 388
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 199,780,754,516,388, is 1.
Now, the common factors can be found like this.
199:199
780:2x 2x 3x 5x 13
754:2x 13x 29
516:2x 2x 3x 43
388:2x 2x 97
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 3x 13 = 1248
Therefore, the value for common factors is 1248.
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 = 23431519463040/(1x1248)
LCM = 23431519463040/1248
LCM = 18775255980
Thus, we can understand that the LCM of 199,780,754,516,388 is 18775255980.
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FAQs on LCM of 199, 780, 754, 516, 388
1. What is the LCM of 199, 780, 754, 516, 388?
Answer: LCM of 199, 780, 754, 516, 388 is 18775255980.
2. How to calculate the LCM of 199, 780, 754, 516, 388?
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 199, 780, 754, 516, 388.
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}.