LCM of 898, 609, 464, 537
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 898, 609, 464, 537 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 898, 609, 464, 537. So, keep reading to learn more.
Given numbers are 898,609,464,537
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 898,609,464,537 is 783135024.
Find LCM of 898,609,464,537 with Prime Factorization
| 2 | 898, 609, 464, 537 |
| 3 | 449, 609, 232, 537 |
| 29 | 449, 203, 232, 179 |
| 449, 7, 8, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 449 x 7 x 8 x 179 = 783135024
Therefore, the lowest common multiple of 898,609,464,537 is 783135024.
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.
898 x 609 x 464 x 537 = 136265494176
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.
898 : 1, 2, 449, 898
609 : 1, 3, 7, 21, 29, 87, 203, 609
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
537 : 1, 3, 179, 537
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 898,609,464,537, is 1.
Now, the common factors can be found like this.
898:2x 449
609:3x 7x 29
464:2x 2x 2x 2x 29
537:3x 179
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 29 = 174
Therefore, the value for common factors is 174.
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 = 136265494176/(1x174)
LCM = 136265494176/174
LCM = 783135024
Thus, we can understand that the LCM of 898,609,464,537 is 783135024.
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FAQs on LCM of 898, 609, 464, 537
1. What is the LCM of 898, 609, 464, 537?
Answer: LCM of 898, 609, 464, 537 is 783135024.
2. How to calculate the LCM of 898, 609, 464, 537?
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 898, 609, 464, 537.
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}.