LCM of 897, 782, 413, 630, 546
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 897, 782, 413, 630, 546 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 897, 782, 413, 630, 546. So, keep reading to learn more.
Given numbers are 897,782,413,630,546
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 897,782,413,630,546 is 188935110.
Find LCM of 897,782,413,630,546 with Prime Factorization
| 2 | 897, 782, 413, 630, 546 |
| 3 | 897, 391, 413, 315, 273 |
| 7 | 299, 391, 413, 105, 91 |
| 13 | 299, 391, 59, 15, 13 |
| 23 | 23, 391, 59, 15, 1 |
| 1, 17, 59, 15, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 23 x 1 x 17 x 59 x 15 x 1 = 188935110
Therefore, the lowest common multiple of 897,782,413,630,546 is 188935110.
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.
897 x 782 x 413 x 630 x 546 = 99651178677960
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.
897 : 1, 3, 13, 23, 39, 69, 299, 897
782 : 1, 2, 17, 23, 34, 46, 391, 782
413 : 1, 7, 59, 413
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 897,782,413,630,546, is 1.
Now, the common factors can be found like this.
897:3x 13x 23
782:2x 17x 23
413:7x 59
630:2x 3x 3x 5x 7
546:2x 3x 7x 13
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 3x 7x 7x 13x 23 = 527436
Therefore, the value for common factors is 527436.
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 = 99651178677960/(1x527436)
LCM = 99651178677960/527436
LCM = 188935110
Thus, we can understand that the LCM of 897,782,413,630,546 is 188935110.
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FAQs on LCM of 897, 782, 413, 630, 546
1. What is the LCM of 897, 782, 413, 630, 546?
Answer: LCM of 897, 782, 413, 630, 546 is 188935110.
2. How to calculate the LCM of 897, 782, 413, 630, 546?
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 897, 782, 413, 630, 546.
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}.