LCM of 816, 834, 306, 713, 199
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 816, 834, 306, 713, 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 816, 834, 306, 713, 199. So, keep reading to learn more.
Given numbers are 816,834,306,713,199
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 816,834,306,713,199 is 48280173264.
Find LCM of 816,834,306,713,199 with Prime Factorization
| 2 | 816, 834, 306, 713, 199 |
| 3 | 408, 417, 153, 713, 199 |
| 17 | 136, 139, 51, 713, 199 |
| 8, 139, 3, 713, 199 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 8 x 139 x 3 x 713 x 199 = 48280173264
Therefore, the lowest common multiple of 816,834,306,713,199 is 48280173264.
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.
816 x 834 x 306 x 713 x 199 = 29547466037568
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.
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
834 : 1, 2, 3, 6, 139, 278, 417, 834
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
713 : 1, 23, 31, 713
199 : 1, 199
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,834,306,713,199, is 1.
Now, the common factors can be found like this.
816:2x 2x 2x 2x 3x 17
834:2x 3x 139
306:2x 3x 3x 17
713:23x 31
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 3x 3x 17 = 612
Therefore, the value for common factors is 612.
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 = 29547466037568/(1x612)
LCM = 29547466037568/612
LCM = 48280173264
Thus, we can understand that the LCM of 816,834,306,713,199 is 48280173264.
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FAQs on LCM of 816, 834, 306, 713, 199
1. What is the LCM of 816, 834, 306, 713, 199?
Answer: LCM of 816, 834, 306, 713, 199 is 48280173264.
2. How to calculate the LCM of 816, 834, 306, 713, 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 816, 834, 306, 713, 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}.