LCM of 982, 968, 588, 802, 977
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 982, 968, 588, 802, 977 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 982, 968, 588, 802, 977. So, keep reading to learn more.
Given numbers are 982,968,588,802,977
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 982,968,588,802,977 is 27372415296072.
Find LCM of 982,968,588,802,977 with Prime Factorization
| 2 | 982, 968, 588, 802, 977 |
| 2 | 491, 484, 294, 401, 977 |
| 491, 242, 147, 401, 977 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 491 x 242 x 147 x 401 x 977 = 27372415296072
Therefore, the lowest common multiple of 982,968,588,802,977 is 27372415296072.
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.
982 x 968 x 588 x 802 x 977 = 437958644737152
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.
982 : 1, 2, 491, 982
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
802 : 1, 2, 401, 802
977 : 1, 977
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 982,968,588,802,977, is 1.
Now, the common factors can be found like this.
982:2x 491
968:2x 2x 2x 11x 11
588:2x 2x 3x 7x 7
802:2x 401
977:977
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 2 = 16
Therefore, the value for common factors is 16.
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 = 437958644737152/(1x16)
LCM = 437958644737152/16
LCM = 27372415296072
Thus, we can understand that the LCM of 982,968,588,802,977 is 27372415296072.
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FAQs on LCM of 982, 968, 588, 802, 977
1. What is the LCM of 982, 968, 588, 802, 977?
Answer: LCM of 982, 968, 588, 802, 977 is 27372415296072.
2. How to calculate the LCM of 982, 968, 588, 802, 977?
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 982, 968, 588, 802, 977.
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}.