LCM of 592, 561, 720, 486, 594
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 592, 561, 720, 486, 594 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 592, 561, 720, 486, 594. So, keep reading to learn more.
Given numbers are 592,561,720,486,594
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 592,561,720,486,594 is 134505360.
Find LCM of 592,561,720,486,594 with Prime Factorization
| 2 | 592, 561, 720, 486, 594 |
| 2 | 296, 561, 360, 243, 297 |
| 2 | 148, 561, 180, 243, 297 |
| 2 | 74, 561, 90, 243, 297 |
| 3 | 37, 561, 45, 243, 297 |
| 3 | 37, 187, 15, 81, 99 |
| 3 | 37, 187, 5, 27, 33 |
| 11 | 37, 187, 5, 9, 11 |
| 37, 17, 5, 9, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 3 x 11 x 37 x 17 x 5 x 9 x 1 = 134505360
Therefore, the lowest common multiple of 592,561,720,486,594 is 134505360.
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.
592 x 561 x 720 x 486 x 594 = 69030302837760
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.
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
561 : 1, 3, 11, 17, 33, 51, 187, 561
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 592,561,720,486,594, is 1.
Now, the common factors can be found like this.
592:2x 2x 2x 2x 37
561:3x 11x 17
720:2x 2x 2x 2x 3x 3x 5
486:2x 3x 3x 3x 3x 3
594:2x 3x 3x 3x 11
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 3x 3x 3x 3x 3x 11 = 513216
Therefore, the value for common factors is 513216.
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 = 69030302837760/(1x513216)
LCM = 69030302837760/513216
LCM = 134505360
Thus, we can understand that the LCM of 592,561,720,486,594 is 134505360.
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FAQs on LCM of 592, 561, 720, 486, 594
1. What is the LCM of 592, 561, 720, 486, 594?
Answer: LCM of 592, 561, 720, 486, 594 is 134505360.
2. How to calculate the LCM of 592, 561, 720, 486, 594?
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 592, 561, 720, 486, 594.
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}.