LCM of 987, 580, 516, 943
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 987, 580, 516, 943 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 987, 580, 516, 943. So, keep reading to learn more.
Given numbers are 987,580,516,943
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 987,580,516,943 is 23212680540.
Find LCM of 987,580,516,943 with Prime Factorization
| 2 | 987, 580, 516, 943 |
| 2 | 987, 290, 258, 943 |
| 3 | 987, 145, 129, 943 |
| 329, 145, 43, 943 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 329 x 145 x 43 x 943 = 23212680540
Therefore, the lowest common multiple of 987,580,516,943 is 23212680540.
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.
987 x 580 x 516 x 943 = 278552166480
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.
987 : 1, 3, 7, 21, 47, 141, 329, 987
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
943 : 1, 23, 41, 943
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 987,580,516,943, is 1.
Now, the common factors can be found like this.
987:3x 7x 47
580:2x 2x 5x 29
516:2x 2x 3x 43
943:23x 41
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 3 = 12
Therefore, the value for common factors is 12.
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 = 278552166480/(1x12)
LCM = 278552166480/12
LCM = 23212680540
Thus, we can understand that the LCM of 987,580,516,943 is 23212680540.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 987, 580, 516, 943
1. What is the LCM of 987, 580, 516, 943?
Answer: LCM of 987, 580, 516, 943 is 23212680540.
2. How to calculate the LCM of 987, 580, 516, 943?
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 987, 580, 516, 943.
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}.