LCM of 834, 952, 905, 493, 917
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 834, 952, 905, 493, 917 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 834, 952, 905, 493, 917. So, keep reading to learn more.
Given numbers are 834,952,905,493,917
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 834,952,905,493,917 is 1364868705480.
Find LCM of 834,952,905,493,917 with Prime Factorization
| 2 | 834, 952, 905, 493, 917 |
| 7 | 417, 476, 905, 493, 917 |
| 17 | 417, 68, 905, 493, 131 |
| 417, 4, 905, 29, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 17 x 417 x 4 x 905 x 29 x 131 = 1364868705480
Therefore, the lowest common multiple of 834,952,905,493,917 is 1364868705480.
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.
834 x 952 x 905 x 493 x 917 = 324838751904240
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.
834 : 1, 2, 3, 6, 139, 278, 417, 834
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
905 : 1, 5, 181, 905
493 : 1, 17, 29, 493
917 : 1, 7, 131, 917
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,952,905,493,917, is 1.
Now, the common factors can be found like this.
834:2x 3x 139
952:2x 2x 2x 7x 17
905:5x 181
493:17x 29
917:7x 131
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 17 = 238
Therefore, the value for common factors is 238.
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 = 324838751904240/(1x238)
LCM = 324838751904240/238
LCM = 1364868705480
Thus, we can understand that the LCM of 834,952,905,493,917 is 1364868705480.
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FAQs on LCM of 834, 952, 905, 493, 917
1. What is the LCM of 834, 952, 905, 493, 917?
Answer: LCM of 834, 952, 905, 493, 917 is 1364868705480.
2. How to calculate the LCM of 834, 952, 905, 493, 917?
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 834, 952, 905, 493, 917.
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}.