LCM of 463, 823, 735, 810, 338
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 463, 823, 735, 810, 338 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 463, 823, 735, 810, 338. So, keep reading to learn more.
Given numbers are 463,823,735,810,338
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 463,823,735,810,338 is 2555928082890.
Find LCM of 463,823,735,810,338 with Prime Factorization
| 2 | 463, 823, 735, 810, 338 |
| 3 | 463, 823, 735, 405, 169 |
| 5 | 463, 823, 245, 135, 169 |
| 463, 823, 49, 27, 169 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 463 x 823 x 49 x 27 x 169 = 2555928082890
Therefore, the lowest common multiple of 463,823,735,810,338 is 2555928082890.
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.
463 x 823 x 735 x 810 x 338 = 76677842486700
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.
463 : 1, 463
823 : 1, 823
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
338 : 1, 2, 13, 26, 169, 338
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 463,823,735,810,338, is 1.
Now, the common factors can be found like this.
463:463
823:823
735:3x 5x 7x 7
810:2x 3x 3x 3x 3x 5
338:2x 13x 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 3x 5 = 30
Therefore, the value for common factors is 30.
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 = 76677842486700/(1x30)
LCM = 76677842486700/30
LCM = 2555928082890
Thus, we can understand that the LCM of 463,823,735,810,338 is 2555928082890.
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FAQs on LCM of 463, 823, 735, 810, 338
1. What is the LCM of 463, 823, 735, 810, 338?
Answer: LCM of 463, 823, 735, 810, 338 is 2555928082890.
2. How to calculate the LCM of 463, 823, 735, 810, 338?
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 463, 823, 735, 810, 338.
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}.