LCM of 998, 456, 972, 864, 869
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 998, 456, 972, 864, 869 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 998, 456, 972, 864, 869. So, keep reading to learn more.
Given numbers are 998,456,972,864,869
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 998,456,972,864,869 is 64066378464.
Find LCM of 998,456,972,864,869 with Prime Factorization
| 2 | 998, 456, 972, 864, 869 |
| 2 | 499, 228, 486, 432, 869 |
| 2 | 499, 114, 243, 216, 869 |
| 3 | 499, 57, 243, 108, 869 |
| 3 | 499, 19, 81, 36, 869 |
| 3 | 499, 19, 27, 12, 869 |
| 499, 19, 9, 4, 869 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 3 x 499 x 19 x 9 x 4 x 869 = 64066378464
Therefore, the lowest common multiple of 998,456,972,864,869 is 64066378464.
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.
998 x 456 x 972 x 864 x 869 = 332120105957376
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.
998 : 1, 2, 499, 998
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
869 : 1, 11, 79, 869
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 998,456,972,864,869, is 1.
Now, the common factors can be found like this.
998:2x 499
456:2x 2x 2x 3x 19
972:2x 2x 3x 3x 3x 3x 3
864:2x 2x 2x 2x 2x 3x 3x 3
869:11x 79
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 2x 2x 2x 3x 3x 3x 3 = 5184
Therefore, the value for common factors is 5184.
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 = 332120105957376/(1x5184)
LCM = 332120105957376/5184
LCM = 64066378464
Thus, we can understand that the LCM of 998,456,972,864,869 is 64066378464.
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FAQs on LCM of 998, 456, 972, 864, 869
1. What is the LCM of 998, 456, 972, 864, 869?
Answer: LCM of 998, 456, 972, 864, 869 is 64066378464.
2. How to calculate the LCM of 998, 456, 972, 864, 869?
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 998, 456, 972, 864, 869.
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}.