LCM of 591, 288, 810, 754, 354
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 591, 288, 810, 754, 354 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 591, 288, 810, 754, 354. So, keep reading to learn more.
Given numbers are 591,288,810,754,354
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 591,288,810,754,354 is 56789048160.
Find LCM of 591,288,810,754,354 with Prime Factorization
| 2 | 591, 288, 810, 754, 354 |
| 3 | 591, 144, 405, 377, 177 |
| 3 | 197, 48, 135, 377, 59 |
| 197, 16, 45, 377, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 197 x 16 x 45 x 377 x 59 = 56789048160
Therefore, the lowest common multiple of 591,288,810,754,354 is 56789048160.
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.
591 x 288 x 810 x 754 x 354 = 36799303207680
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.
591 : 1, 3, 197, 591
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
754 : 1, 2, 13, 26, 29, 58, 377, 754
354 : 1, 2, 3, 6, 59, 118, 177, 354
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 591,288,810,754,354, is 1.
Now, the common factors can be found like this.
591:3x 197
288:2x 2x 2x 2x 2x 3x 3
810:2x 3x 3x 3x 3x 5
754:2x 13x 29
354:2x 3x 59
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 3 = 648
Therefore, the value for common factors is 648.
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 = 36799303207680/(1x648)
LCM = 36799303207680/648
LCM = 56789048160
Thus, we can understand that the LCM of 591,288,810,754,354 is 56789048160.
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FAQs on LCM of 591, 288, 810, 754, 354
1. What is the LCM of 591, 288, 810, 754, 354?
Answer: LCM of 591, 288, 810, 754, 354 is 56789048160.
2. How to calculate the LCM of 591, 288, 810, 754, 354?
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 591, 288, 810, 754, 354.
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}.