LCM of 101, 104, 448, 980, 996
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 101, 104, 448, 980, 996 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 101, 104, 448, 980, 996. So, keep reading to learn more.
Given numbers are 101,104,448,980,996
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 101,104,448,980,996 is 5126372160.
Find LCM of 101,104,448,980,996 with Prime Factorization
| 2 | 101, 104, 448, 980, 996 |
| 2 | 101, 52, 224, 490, 498 |
| 2 | 101, 26, 112, 245, 249 |
| 7 | 101, 13, 56, 245, 249 |
| 101, 13, 8, 35, 249 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 101 x 13 x 8 x 35 x 249 = 5126372160
Therefore, the lowest common multiple of 101,104,448,980,996 is 5126372160.
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.
101 x 104 x 448 x 980 x 996 = 4593229455360
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.
101 : 1, 101
104 : 1, 2, 4, 8, 13, 26, 52, 104
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 101,104,448,980,996, is 1.
Now, the common factors can be found like this.
101:101
104:2x 2x 2x 13
448:2x 2x 2x 2x 2x 2x 7
980:2x 2x 5x 7x 7
996:2x 2x 3x 83
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 2x 7 = 896
Therefore, the value for common factors is 896.
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 = 4593229455360/(1x896)
LCM = 4593229455360/896
LCM = 5126372160
Thus, we can understand that the LCM of 101,104,448,980,996 is 5126372160.
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FAQs on LCM of 101, 104, 448, 980, 996
1. What is the LCM of 101, 104, 448, 980, 996?
Answer: LCM of 101, 104, 448, 980, 996 is 5126372160.
2. How to calculate the LCM of 101, 104, 448, 980, 996?
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 101, 104, 448, 980, 996.
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}.