LCM of 952, 986, 428, 356, 998
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 952, 986, 428, 356, 998 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 952, 986, 428, 356, 998. So, keep reading to learn more.
Given numbers are 952,986,428,356,998
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 952,986,428,356,998 is 131192581016.
Find LCM of 952,986,428,356,998 with Prime Factorization
| 2 | 952, 986, 428, 356, 998 |
| 2 | 476, 493, 214, 178, 499 |
| 17 | 238, 493, 107, 89, 499 |
| 14, 29, 107, 89, 499 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 14 x 29 x 107 x 89 x 499 = 131192581016
Therefore, the lowest common multiple of 952,986,428,356,998 is 131192581016.
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.
952 x 986 x 428 x 356 x 998 = 142737528145408
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.
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
986 : 1, 2, 17, 29, 34, 58, 493, 986
428 : 1, 2, 4, 107, 214, 428
356 : 1, 2, 4, 89, 178, 356
998 : 1, 2, 499, 998
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 952,986,428,356,998, is 2.
Now, the common factors can be found like this.
952:2x 2x 2x 7x 17
986:2x 17x 29
428:2x 2x 107
356:2x 2x 89
998:2x 499
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 17 = 544
Therefore, the value for common factors is 544.
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 = 142737528145408/(2x544)
LCM = 142737528145408/1088
LCM = 131192581016
Thus, we can understand that the LCM of 952,986,428,356,998 is 131192581016.
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FAQs on LCM of 952, 986, 428, 356, 998
1. What is the LCM of 952, 986, 428, 356, 998?
Answer: LCM of 952, 986, 428, 356, 998 is 131192581016.
2. How to calculate the LCM of 952, 986, 428, 356, 998?
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 952, 986, 428, 356, 998.
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}.