LCM of 988, 975, 516, 470, 819
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 988, 975, 516, 470, 819 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 988, 975, 516, 470, 819. So, keep reading to learn more.
Given numbers are 988,975,516,470,819
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 988,975,516,470,819 is 3144878100.
Find LCM of 988,975,516,470,819 with Prime Factorization
| 2 | 988, 975, 516, 470, 819 |
| 2 | 494, 975, 258, 235, 819 |
| 3 | 247, 975, 129, 235, 819 |
| 5 | 247, 325, 43, 235, 273 |
| 13 | 247, 65, 43, 47, 273 |
| 19, 5, 43, 47, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 19 x 5 x 43 x 47 x 21 = 3144878100
Therefore, the lowest common multiple of 988,975,516,470,819 is 3144878100.
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.
988 x 975 x 516 x 470 x 819 = 191334383604000
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.
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
470 : 1, 2, 5, 10, 47, 94, 235, 470
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,975,516,470,819, is 1.
Now, the common factors can be found like this.
988:2x 2x 13x 19
975:3x 5x 5x 13
516:2x 2x 3x 43
470:2x 5x 47
819:3x 3x 7x 13
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 3x 3x 5x 13x 13 = 60840
Therefore, the value for common factors is 60840.
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 = 191334383604000/(1x60840)
LCM = 191334383604000/60840
LCM = 3144878100
Thus, we can understand that the LCM of 988,975,516,470,819 is 3144878100.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 988, 975, 516, 470, 819
1. What is the LCM of 988, 975, 516, 470, 819?
Answer: LCM of 988, 975, 516, 470, 819 is 3144878100.
2. How to calculate the LCM of 988, 975, 516, 470, 819?
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 988, 975, 516, 470, 819.
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}.