LCM of 610, 981, 415, 529, 654
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 610, 981, 415, 529, 654 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 610, 981, 415, 529, 654. So, keep reading to learn more.
Given numbers are 610,981,415,529,654
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 610,981,415,529,654 is 26274387870.
Find LCM of 610,981,415,529,654 with Prime Factorization
| 2 | 610, 981, 415, 529, 654 |
| 3 | 305, 981, 415, 529, 327 |
| 5 | 305, 109, 415, 529, 327 |
| 109 | 61, 109, 83, 529, 327 |
| 61, 1, 83, 529, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 109 x 61 x 1 x 83 x 529 x 3 = 26274387870
Therefore, the lowest common multiple of 610,981,415,529,654 is 26274387870.
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.
610 x 981 x 415 x 529 x 654 = 85917248334900
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.
610 : 1, 2, 5, 10, 61, 122, 305, 610
981 : 1, 3, 9, 109, 327, 981
415 : 1, 5, 83, 415
529 : 1, 23, 529
654 : 1, 2, 3, 6, 109, 218, 327, 654
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 610,981,415,529,654, is 1.
Now, the common factors can be found like this.
610:2x 5x 61
981:3x 3x 109
415:5x 83
529:23x 23
654:2x 3x 109
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 5x 109 = 3270
Therefore, the value for common factors is 3270.
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 = 85917248334900/(1x3270)
LCM = 85917248334900/3270
LCM = 26274387870
Thus, we can understand that the LCM of 610,981,415,529,654 is 26274387870.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 610, 981, 415, 529, 654
1. What is the LCM of 610, 981, 415, 529, 654?
Answer: LCM of 610, 981, 415, 529, 654 is 26274387870.
2. How to calculate the LCM of 610, 981, 415, 529, 654?
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 610, 981, 415, 529, 654.
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}.