LCM of 514, 981, 801, 235, 738
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 514, 981, 801, 235, 738 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 514, 981, 801, 235, 738. So, keep reading to learn more.
Given numbers are 514,981,801,235,738
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 514,981,801,235,738 is 432388218510.
Find LCM of 514,981,801,235,738 with Prime Factorization
| 2 | 514, 981, 801, 235, 738 |
| 3 | 257, 981, 801, 235, 369 |
| 3 | 257, 327, 267, 235, 123 |
| 257, 109, 89, 235, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 257 x 109 x 89 x 235 x 41 = 432388218510
Therefore, the lowest common multiple of 514,981,801,235,738 is 432388218510.
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.
514 x 981 x 801 x 235 x 738 = 70046891398620
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.
514 : 1, 2, 257, 514
981 : 1, 3, 9, 109, 327, 981
801 : 1, 3, 9, 89, 267, 801
235 : 1, 5, 47, 235
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,981,801,235,738, is 1.
Now, the common factors can be found like this.
514:2x 257
981:3x 3x 109
801:3x 3x 89
235:5x 47
738:2x 3x 3x 41
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 3 = 162
Therefore, the value for common factors is 162.
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 = 70046891398620/(1x162)
LCM = 70046891398620/162
LCM = 432388218510
Thus, we can understand that the LCM of 514,981,801,235,738 is 432388218510.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 514, 981, 801, 235, 738
1. What is the LCM of 514, 981, 801, 235, 738?
Answer: LCM of 514, 981, 801, 235, 738 is 432388218510.
2. How to calculate the LCM of 514, 981, 801, 235, 738?
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 514, 981, 801, 235, 738.
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}.