LCM of 834, 728, 964, 296, 973
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 834, 728, 964, 296, 973 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, 728, 964, 296, 973. So, keep reading to learn more.
Given numbers are 834,728,964,296,973
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 834,728,964,296,973 is 2706987192.
Find LCM of 834,728,964,296,973 with Prime Factorization
| 2 | 834, 728, 964, 296, 973 |
| 2 | 417, 364, 482, 148, 973 |
| 2 | 417, 182, 241, 74, 973 |
| 7 | 417, 91, 241, 37, 973 |
| 139 | 417, 13, 241, 37, 139 |
| 3, 13, 241, 37, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 139 x 3 x 13 x 241 x 37 x 1 = 2706987192
Therefore, the lowest common multiple of 834,728,964,296,973 is 2706987192.
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 728 x 964 x 296 x 973 = 168569506420224
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
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
964 : 1, 2, 4, 241, 482, 964
296 : 1, 2, 4, 8, 37, 74, 148, 296
973 : 1, 7, 139, 973
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,728,964,296,973, is 1.
Now, the common factors can be found like this.
834:2x 3x 139
728:2x 2x 2x 7x 13
964:2x 2x 241
296:2x 2x 2x 37
973:7x 139
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 2x 7x 139 = 62272
Therefore, the value for common factors is 62272.
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 = 168569506420224/(1x62272)
LCM = 168569506420224/62272
LCM = 2706987192
Thus, we can understand that the LCM of 834,728,964,296,973 is 2706987192.
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FAQs on LCM of 834, 728, 964, 296, 973
1. What is the LCM of 834, 728, 964, 296, 973?
Answer: LCM of 834, 728, 964, 296, 973 is 2706987192.
2. How to calculate the LCM of 834, 728, 964, 296, 973?
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, 728, 964, 296, 973.
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}.