LCM of 529, 928, 308, 825, 754
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 529, 928, 308, 825, 754 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 529, 928, 308, 825, 754. So, keep reading to learn more.
Given numbers are 529,928,308,825,754
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 529,928,308,825,754 is 36855218400.
Find LCM of 529,928,308,825,754 with Prime Factorization
| 2 | 529, 928, 308, 825, 754 |
| 2 | 529, 464, 154, 825, 377 |
| 11 | 529, 232, 77, 825, 377 |
| 29 | 529, 232, 7, 75, 377 |
| 529, 8, 7, 75, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 29 x 529 x 8 x 7 x 75 x 13 = 36855218400
Therefore, the lowest common multiple of 529,928,308,825,754 is 36855218400.
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.
529 x 928 x 308 x 825 x 754 = 94054517356800
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.
529 : 1, 23, 529
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
754 : 1, 2, 13, 26, 29, 58, 377, 754
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 529,928,308,825,754, is 1.
Now, the common factors can be found like this.
529:23x 23
928:2x 2x 2x 2x 2x 29
308:2x 2x 7x 11
825:3x 5x 5x 11
754:2x 13x 29
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 2x 11x 29 = 2552
Therefore, the value for common factors is 2552.
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 = 94054517356800/(1x2552)
LCM = 94054517356800/2552
LCM = 36855218400
Thus, we can understand that the LCM of 529,928,308,825,754 is 36855218400.
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FAQs on LCM of 529, 928, 308, 825, 754
1. What is the LCM of 529, 928, 308, 825, 754?
Answer: LCM of 529, 928, 308, 825, 754 is 36855218400.
2. How to calculate the LCM of 529, 928, 308, 825, 754?
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 529, 928, 308, 825, 754.
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}.