LCM of 986, 980, 826, 881, 548
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 986, 980, 826, 881, 548 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 986, 980, 826, 881, 548. So, keep reading to learn more.
Given numbers are 986,980,826,881,548
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 986,980,826,881,548 is 3440499366220.
Find LCM of 986,980,826,881,548 with Prime Factorization
| 2 | 986, 980, 826, 881, 548 |
| 2 | 493, 490, 413, 881, 274 |
| 7 | 493, 245, 413, 881, 137 |
| 493, 35, 59, 881, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 493 x 35 x 59 x 881 x 137 = 3440499366220
Therefore, the lowest common multiple of 986,980,826,881,548 is 3440499366220.
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.
986 x 980 x 826 x 881 x 548 = 385335929016640
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.
986 : 1, 2, 17, 29, 34, 58, 493, 986
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
826 : 1, 2, 7, 14, 59, 118, 413, 826
881 : 1, 881
548 : 1, 2, 4, 137, 274, 548
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,980,826,881,548, is 1.
Now, the common factors can be found like this.
986:2x 17x 29
980:2x 2x 5x 7x 7
826:2x 7x 59
881:881
548:2x 2x 137
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 7 = 112
Therefore, the value for common factors is 112.
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 = 385335929016640/(1x112)
LCM = 385335929016640/112
LCM = 3440499366220
Thus, we can understand that the LCM of 986,980,826,881,548 is 3440499366220.
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FAQs on LCM of 986, 980, 826, 881, 548
1. What is the LCM of 986, 980, 826, 881, 548?
Answer: LCM of 986, 980, 826, 881, 548 is 3440499366220.
2. How to calculate the LCM of 986, 980, 826, 881, 548?
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 986, 980, 826, 881, 548.
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}.