LCM of 972, 796, 106, 462, 106
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 972, 796, 106, 462, 106 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 972, 796, 106, 462, 106. So, keep reading to learn more.
Given numbers are 972,796,106,462,106
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 972,796,106,462,106 is 789379668.
Find LCM of 972,796,106,462,106 with Prime Factorization
| 2 | 972, 796, 106, 462, 106 |
| 2 | 486, 398, 53, 231, 53 |
| 3 | 243, 199, 53, 231, 53 |
| 53 | 81, 199, 53, 77, 53 |
| 81, 199, 1, 77, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 53 x 81 x 199 x 1 x 77 x 1 = 789379668
Therefore, the lowest common multiple of 972,796,106,462,106 is 789379668.
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.
972 x 796 x 106 x 462 x 106 = 4016363750784
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.
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
796 : 1, 2, 4, 199, 398, 796
106 : 1, 2, 53, 106
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
106 : 1, 2, 53, 106
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,796,106,462,106, is 2.
Now, the common factors can be found like this.
972:2x 2x 3x 3x 3x 3x 3
796:2x 2x 199
106:2x 53
462:2x 3x 7x 11
106:2x 53
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 3x 53 = 2544
Therefore, the value for common factors is 2544.
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 = 4016363750784/(2x2544)
LCM = 4016363750784/5088
LCM = 789379668
Thus, we can understand that the LCM of 972,796,106,462,106 is 789379668.
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FAQs on LCM of 972, 796, 106, 462, 106
1. What is the LCM of 972, 796, 106, 462, 106?
Answer: LCM of 972, 796, 106, 462, 106 is 789379668.
2. How to calculate the LCM of 972, 796, 106, 462, 106?
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 972, 796, 106, 462, 106.
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}.