LCM of 108, 986, 774, 792, 258
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 108, 986, 774, 792, 258 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 108, 986, 774, 792, 258. So, keep reading to learn more.
Given numbers are 108,986,774,792,258
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 108,986,774,792,258 is 50368824.
Find LCM of 108,986,774,792,258 with Prime Factorization
| 2 | 108, 986, 774, 792, 258 |
| 2 | 54, 493, 387, 396, 129 |
| 3 | 27, 493, 387, 198, 129 |
| 3 | 9, 493, 43, 66, 129 |
| 43 | 3, 493, 43, 22, 43 |
| 3, 493, 1, 22, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 43 x 3 x 493 x 1 x 22 x 1 = 50368824
Therefore, the lowest common multiple of 108,986,774,792,258 is 50368824.
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.
108 x 986 x 774 x 792 x 258 = 16841722943232
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.
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
986 : 1, 2, 17, 29, 34, 58, 493, 986
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
258 : 1, 2, 3, 6, 43, 86, 129, 258
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 108,986,774,792,258, is 2.
Now, the common factors can be found like this.
108:2x 2x 3x 3x 3
986:2x 17x 29
774:2x 3x 3x 43
792:2x 2x 2x 3x 3x 11
258:2x 3x 43
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 3x 3x 3x 3x 43 = 167184
Therefore, the value for common factors is 167184.
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 = 16841722943232/(2x167184)
LCM = 16841722943232/334368
LCM = 50368824
Thus, we can understand that the LCM of 108,986,774,792,258 is 50368824.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 108, 986, 774, 792, 258
1. What is the LCM of 108, 986, 774, 792, 258?
Answer: LCM of 108, 986, 774, 792, 258 is 50368824.
2. How to calculate the LCM of 108, 986, 774, 792, 258?
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 108, 986, 774, 792, 258.
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}.