LCM of 914, 390, 826, 295, 525
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 914, 390, 826, 295, 525 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 914, 390, 826, 295, 525. So, keep reading to learn more.
Given numbers are 914,390,826,295,525
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 914,390,826,295,525 is 368044950.
Find LCM of 914,390,826,295,525 with Prime Factorization
| 2 | 914, 390, 826, 295, 525 |
| 3 | 457, 195, 413, 295, 525 |
| 5 | 457, 65, 413, 295, 175 |
| 7 | 457, 13, 413, 59, 35 |
| 59 | 457, 13, 59, 59, 5 |
| 457, 13, 1, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 59 x 457 x 13 x 1 x 1 x 5 = 368044950
Therefore, the lowest common multiple of 914,390,826,295,525 is 368044950.
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.
914 x 390 x 826 x 295 x 525 = 45600769305000
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.
914 : 1, 2, 457, 914
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
826 : 1, 2, 7, 14, 59, 118, 413, 826
295 : 1, 5, 59, 295
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,390,826,295,525, is 1.
Now, the common factors can be found like this.
914:2x 457
390:2x 3x 5x 13
826:2x 7x 59
295:5x 59
525:3x 5x 5x 7
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 3x 5x 5x 7x 59 = 123900
Therefore, the value for common factors is 123900.
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 = 45600769305000/(1x123900)
LCM = 45600769305000/123900
LCM = 368044950
Thus, we can understand that the LCM of 914,390,826,295,525 is 368044950.
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FAQs on LCM of 914, 390, 826, 295, 525
1. What is the LCM of 914, 390, 826, 295, 525?
Answer: LCM of 914, 390, 826, 295, 525 is 368044950.
2. How to calculate the LCM of 914, 390, 826, 295, 525?
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 914, 390, 826, 295, 525.
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}.