LCM of 748, 561, 309, 529, 898
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 748, 561, 309, 529, 898 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 748, 561, 309, 529, 898. So, keep reading to learn more.
Given numbers are 748,561,309,529,898
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 748,561,309,529,898 is 54898703772.
Find LCM of 748,561,309,529,898 with Prime Factorization
| 2 | 748, 561, 309, 529, 898 |
| 3 | 374, 561, 309, 529, 449 |
| 11 | 374, 187, 103, 529, 449 |
| 17 | 34, 17, 103, 529, 449 |
| 2, 1, 103, 529, 449 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 17 x 2 x 1 x 103 x 529 x 449 = 54898703772
Therefore, the lowest common multiple of 748,561,309,529,898 is 54898703772.
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.
748 x 561 x 309 x 529 x 898 = 61596345632184
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.
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
561 : 1, 3, 11, 17, 33, 51, 187, 561
309 : 1, 3, 103, 309
529 : 1, 23, 529
898 : 1, 2, 449, 898
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,561,309,529,898, is 1.
Now, the common factors can be found like this.
748:2x 2x 11x 17
561:3x 11x 17
309:3x 103
529:23x 23
898:2x 449
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 11x 17 = 1122
Therefore, the value for common factors is 1122.
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 = 61596345632184/(1x1122)
LCM = 61596345632184/1122
LCM = 54898703772
Thus, we can understand that the LCM of 748,561,309,529,898 is 54898703772.
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FAQs on LCM of 748, 561, 309, 529, 898
1. What is the LCM of 748, 561, 309, 529, 898?
Answer: LCM of 748, 561, 309, 529, 898 is 54898703772.
2. How to calculate the LCM of 748, 561, 309, 529, 898?
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 748, 561, 309, 529, 898.
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}.