LCM of 542, 405, 813, 516, 297
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 542, 405, 813, 516, 297 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 542, 405, 813, 516, 297. So, keep reading to learn more.
Given numbers are 542,405,813,516,297
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 542,405,813,516,297 is 207656460.
Find LCM of 542,405,813,516,297 with Prime Factorization
| 2 | 542, 405, 813, 516, 297 |
| 3 | 271, 405, 813, 258, 297 |
| 3 | 271, 135, 271, 86, 99 |
| 3 | 271, 45, 271, 86, 33 |
| 271 | 271, 15, 271, 86, 11 |
| 1, 15, 1, 86, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 271 x 1 x 15 x 1 x 86 x 11 = 207656460
Therefore, the lowest common multiple of 542,405,813,516,297 is 207656460.
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.
542 x 405 x 813 x 516 x 297 = 27349601720760
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.
542 : 1, 2, 271, 542
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
813 : 1, 3, 271, 813
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
297 : 1, 3, 9, 11, 27, 33, 99, 297
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 542,405,813,516,297, is 1.
Now, the common factors can be found like this.
542:2x 271
405:3x 3x 3x 3x 5
813:3x 271
516:2x 2x 3x 43
297:3x 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 3x 3x 3x 3x 3x 271 = 131706
Therefore, the value for common factors is 131706.
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 = 27349601720760/(1x131706)
LCM = 27349601720760/131706
LCM = 207656460
Thus, we can understand that the LCM of 542,405,813,516,297 is 207656460.
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FAQs on LCM of 542, 405, 813, 516, 297
1. What is the LCM of 542, 405, 813, 516, 297?
Answer: LCM of 542, 405, 813, 516, 297 is 207656460.
2. How to calculate the LCM of 542, 405, 813, 516, 297?
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 542, 405, 813, 516, 297.
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}.