LCM of 727, 792, 604, 108
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 727, 792, 604, 108 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 727, 792, 604, 108. So, keep reading to learn more.
Given numbers are 727,792,604,108
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 727,792,604,108 is 260830152.
Find LCM of 727,792,604,108 with Prime Factorization
| 2 | 727, 792, 604, 108 |
| 2 | 727, 396, 302, 54 |
| 3 | 727, 198, 151, 27 |
| 3 | 727, 66, 151, 9 |
| 727, 22, 151, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 727 x 22 x 151 x 3 = 260830152
Therefore, the lowest common multiple of 727,792,604,108 is 260830152.
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.
727 x 792 x 604 x 108 = 37559541888
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.
727 : 1, 727
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
604 : 1, 2, 4, 151, 302, 604
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 727,792,604,108, is 1.
Now, the common factors can be found like this.
727:727
792:2x 2x 2x 3x 3x 11
604:2x 2x 151
108:2x 2x 3x 3x 3
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 3 = 144
Therefore, the value for common factors is 144.
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 = 37559541888/(1x144)
LCM = 37559541888/144
LCM = 260830152
Thus, we can understand that the LCM of 727,792,604,108 is 260830152.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 727, 792, 604, 108
1. What is the LCM of 727, 792, 604, 108?
Answer: LCM of 727, 792, 604, 108 is 260830152.
2. How to calculate the LCM of 727, 792, 604, 108?
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 727, 792, 604, 108.
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}.