LCM of 835, 735, 898, 468, 728
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 835, 735, 898, 468, 728 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 835, 735, 898, 468, 728. So, keep reading to learn more.
Given numbers are 835,735,898,468,728
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 835,735,898,468,728 is 17195101560.
Find LCM of 835,735,898,468,728 with Prime Factorization
| 2 | 835, 735, 898, 468, 728 |
| 2 | 835, 735, 449, 234, 364 |
| 3 | 835, 735, 449, 117, 182 |
| 5 | 835, 245, 449, 39, 182 |
| 7 | 167, 49, 449, 39, 182 |
| 13 | 167, 7, 449, 39, 26 |
| 167, 7, 449, 3, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 13 x 167 x 7 x 449 x 3 x 2 = 17195101560
Therefore, the lowest common multiple of 835,735,898,468,728 is 17195101560.
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.
835 x 735 x 898 x 468 x 728 = 187770509035200
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.
835 : 1, 5, 167, 835
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
898 : 1, 2, 449, 898
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 835,735,898,468,728, is 1.
Now, the common factors can be found like this.
835:5x 167
735:3x 5x 7x 7
898:2x 449
468:2x 2x 3x 3x 13
728:2x 2x 2x 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 2x 3x 5x 7x 13 = 10920
Therefore, the value for common factors is 10920.
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 = 187770509035200/(1x10920)
LCM = 187770509035200/10920
LCM = 17195101560
Thus, we can understand that the LCM of 835,735,898,468,728 is 17195101560.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 835, 735, 898, 468, 728
1. What is the LCM of 835, 735, 898, 468, 728?
Answer: LCM of 835, 735, 898, 468, 728 is 17195101560.
2. How to calculate the LCM of 835, 735, 898, 468, 728?
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 835, 735, 898, 468, 728.
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}.