LCM of 762, 416, 825, 374, 592
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 762, 416, 825, 374, 592 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 762, 416, 825, 374, 592. So, keep reading to learn more.
Given numbers are 762,416,825,374,592
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 762,416,825,374,592 is 27415845600.
Find LCM of 762,416,825,374,592 with Prime Factorization
| 2 | 762, 416, 825, 374, 592 |
| 2 | 381, 208, 825, 187, 296 |
| 2 | 381, 104, 825, 187, 148 |
| 2 | 381, 52, 825, 187, 74 |
| 3 | 381, 26, 825, 187, 37 |
| 11 | 127, 26, 275, 187, 37 |
| 127, 26, 25, 17, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 11 x 127 x 26 x 25 x 17 x 37 = 27415845600
Therefore, the lowest common multiple of 762,416,825,374,592 is 27415845600.
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.
762 x 416 x 825 x 374 x 592 = 57902265907200
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.
762 : 1, 2, 3, 6, 127, 254, 381, 762
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
374 : 1, 2, 11, 17, 22, 34, 187, 374
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,416,825,374,592, is 1.
Now, the common factors can be found like this.
762:2x 3x 127
416:2x 2x 2x 2x 2x 13
825:3x 5x 5x 11
374:2x 11x 17
592:2x 2x 2x 2x 37
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 3x 11 = 2112
Therefore, the value for common factors is 2112.
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 = 57902265907200/(1x2112)
LCM = 57902265907200/2112
LCM = 27415845600
Thus, we can understand that the LCM of 762,416,825,374,592 is 27415845600.
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FAQs on LCM of 762, 416, 825, 374, 592
1. What is the LCM of 762, 416, 825, 374, 592?
Answer: LCM of 762, 416, 825, 374, 592 is 27415845600.
2. How to calculate the LCM of 762, 416, 825, 374, 592?
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 762, 416, 825, 374, 592.
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}.