LCM of 455, 163, 833, 815
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 455, 163, 833, 815 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 455, 163, 833, 815. So, keep reading to learn more.
Given numbers are 455,163,833,815
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 455,163,833,815 is 8825635.
Find LCM of 455,163,833,815 with Prime Factorization
| 5 | 455, 163, 833, 815 |
| 7 | 91, 163, 833, 163 |
| 163 | 13, 163, 119, 163 |
| 13, 1, 119, 1 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 163 x 13 x 1 x 119 x 1 = 8825635
Therefore, the lowest common multiple of 455,163,833,815 is 8825635.
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.
455 x 163 x 833 x 815 = 50350247675
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.
455 : 1, 5, 7, 13, 35, 65, 91, 455
163 : 1, 163
833 : 1, 7, 17, 49, 119, 833
815 : 1, 5, 163, 815
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 455,163,833,815, is 1.
Now, the common factors can be found like this.
455:5x 7x 13
163:163
833:7x 7x 17
815:5x 163
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 7x 163 = 5705
Therefore, the value for common factors is 5705.
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 = 50350247675/(1x5705)
LCM = 50350247675/5705
LCM = 8825635
Thus, we can understand that the LCM of 455,163,833,815 is 8825635.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 455, 163, 833, 815
1. What is the LCM of 455, 163, 833, 815?
Answer: LCM of 455, 163, 833, 815 is 8825635.
2. How to calculate the LCM of 455, 163, 833, 815?
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 455, 163, 833, 815.
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}.