LCM of 972, 798, 999, 888, 969
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 972, 798, 999, 888, 969 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, 798, 999, 888, 969. So, keep reading to learn more.
Given numbers are 972,798,999,888,969
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 972,798,999,888,969 is 162629208.
Find LCM of 972,798,999,888,969 with Prime Factorization
| 2 | 972, 798, 999, 888, 969 |
| 2 | 486, 399, 999, 444, 969 |
| 3 | 243, 399, 999, 222, 969 |
| 3 | 81, 133, 333, 74, 323 |
| 3 | 27, 133, 111, 74, 323 |
| 19 | 9, 133, 37, 74, 323 |
| 37 | 9, 7, 37, 74, 17 |
| 9, 7, 1, 2, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 19 x 37 x 9 x 7 x 1 x 2 x 17 = 162629208
Therefore, the lowest common multiple of 972,798,999,888,969 is 162629208.
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 798 x 999 x 888 x 969 = 666762839362368
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
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
999 : 1, 3, 9, 27, 37, 111, 333, 999
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
969 : 1, 3, 17, 19, 51, 57, 323, 969
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,798,999,888,969, is 3.
Now, the common factors can be found like this.
972:2x 2x 3x 3x 3x 3x 3
798:2x 3x 7x 19
999:3x 3x 3x 37
888:2x 2x 2x 3x 37
969:3x 17x 19
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 3x 3x 3x 3x 3x 19x 37 = 1366632
Therefore, the value for common factors is 1366632.
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 = 666762839362368/(3x1366632)
LCM = 666762839362368/4099896
LCM = 162629208
Thus, we can understand that the LCM of 972,798,999,888,969 is 162629208.
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FAQs on LCM of 972, 798, 999, 888, 969
1. What is the LCM of 972, 798, 999, 888, 969?
Answer: LCM of 972, 798, 999, 888, 969 is 162629208.
2. How to calculate the LCM of 972, 798, 999, 888, 969?
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, 798, 999, 888, 969.
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}.