LCM of 962, 484, 110, 208, 490
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 962, 484, 110, 208, 490 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 962, 484, 110, 208, 490. So, keep reading to learn more.
Given numbers are 962,484,110,208,490
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 962,484,110,208,490 is 228147920.
Find LCM of 962,484,110,208,490 with Prime Factorization
| 2 | 962, 484, 110, 208, 490 |
| 2 | 481, 242, 55, 104, 245 |
| 5 | 481, 121, 55, 52, 245 |
| 11 | 481, 121, 11, 52, 49 |
| 13 | 481, 1, 11, 52, 49 |
| 37, 1, 11, 4, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 13 x 37 x 1 x 11 x 4 x 49 = 228147920
Therefore, the lowest common multiple of 962,484,110,208,490 is 228147920.
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.
962 x 484 x 110 x 208 x 490 = 5220024409600
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.
962 : 1, 2, 13, 26, 37, 74, 481, 962
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
110 : 1, 2, 5, 10, 11, 22, 55, 110
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 962,484,110,208,490, is 2.
Now, the common factors can be found like this.
962:2x 13x 37
484:2x 2x 11x 11
110:2x 5x 11
208:2x 2x 2x 2x 13
490:2x 5x 7x 7
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 5x 11x 13 = 11440
Therefore, the value for common factors is 11440.
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 = 5220024409600/(2x11440)
LCM = 5220024409600/22880
LCM = 228147920
Thus, we can understand that the LCM of 962,484,110,208,490 is 228147920.
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FAQs on LCM of 962, 484, 110, 208, 490
1. What is the LCM of 962, 484, 110, 208, 490?
Answer: LCM of 962, 484, 110, 208, 490 is 228147920.
2. How to calculate the LCM of 962, 484, 110, 208, 490?
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 962, 484, 110, 208, 490.
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}.