LCM of 788, 221, 988, 209, 774
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 788, 221, 988, 209, 774 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, 221, 988, 209, 774. So, keep reading to learn more.
Given numbers are 788,221,988,209,774
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 788,221,988,209,774 is 14085612684.
Find LCM of 788,221,988,209,774 with Prime Factorization
| 2 | 788, 221, 988, 209, 774 |
| 2 | 394, 221, 494, 209, 387 |
| 13 | 197, 221, 247, 209, 387 |
| 19 | 197, 17, 19, 209, 387 |
| 197, 17, 1, 11, 387 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 19 x 197 x 17 x 1 x 11 x 387 = 14085612684
Therefore, the lowest common multiple of 788,221,988,209,774 is 14085612684.
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 221 x 988 x 209 x 774 = 27833170663584
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
221 : 1, 13, 17, 221
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
209 : 1, 11, 19, 209
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 788,221,988,209,774, is 1.
Now, the common factors can be found like this.
788:2x 2x 197
221:13x 17
988:2x 2x 13x 19
209:11x 19
774:2x 3x 3x 43
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 13x 19 = 1976
Therefore, the value for common factors is 1976.
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 = 27833170663584/(1x1976)
LCM = 27833170663584/1976
LCM = 14085612684
Thus, we can understand that the LCM of 788,221,988,209,774 is 14085612684.
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FAQs on LCM of 788, 221, 988, 209, 774
1. What is the LCM of 788, 221, 988, 209, 774?
Answer: LCM of 788, 221, 988, 209, 774 is 14085612684.
2. How to calculate the LCM of 788, 221, 988, 209, 774?
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, 221, 988, 209, 774.
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}.