LCM of 503, 783, 896, 798, 121
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 503, 783, 896, 798, 121 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 503, 783, 896, 798, 121. So, keep reading to learn more.
Given numbers are 503,783,896,798,121
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 503,783,896,798,121 is 811291130496.
Find LCM of 503,783,896,798,121 with Prime Factorization
| 2 | 503, 783, 896, 798, 121 |
| 3 | 503, 783, 448, 399, 121 |
| 7 | 503, 261, 448, 133, 121 |
| 503, 261, 64, 19, 121 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 503 x 261 x 64 x 19 x 121 = 811291130496
Therefore, the lowest common multiple of 503,783,896,798,121 is 811291130496.
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.
503 x 783 x 896 x 798 x 121 = 34074227480832
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.
503 : 1, 503
783 : 1, 3, 9, 27, 29, 87, 261, 783
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
121 : 1, 11, 121
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 503,783,896,798,121, is 1.
Now, the common factors can be found like this.
503:503
783:3x 3x 3x 29
896:2x 2x 2x 2x 2x 2x 2x 7
798:2x 3x 7x 19
121:11x 11
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 7 = 42
Therefore, the value for common factors is 42.
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 = 34074227480832/(1x42)
LCM = 34074227480832/42
LCM = 811291130496
Thus, we can understand that the LCM of 503,783,896,798,121 is 811291130496.
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FAQs on LCM of 503, 783, 896, 798, 121
1. What is the LCM of 503, 783, 896, 798, 121?
Answer: LCM of 503, 783, 896, 798, 121 is 811291130496.
2. How to calculate the LCM of 503, 783, 896, 798, 121?
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 503, 783, 896, 798, 121.
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}.