LCM of 957, 748, 831, 180, 986
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 957, 748, 831, 180, 986 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 957, 748, 831, 180, 986. So, keep reading to learn more.
Given numbers are 957,748,831,180,986
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 957,748,831,180,986 is 270390780.
Find LCM of 957,748,831,180,986 with Prime Factorization
| 2 | 957, 748, 831, 180, 986 |
| 2 | 957, 374, 831, 90, 493 |
| 3 | 957, 187, 831, 45, 493 |
| 11 | 319, 187, 277, 15, 493 |
| 17 | 29, 17, 277, 15, 493 |
| 29 | 29, 1, 277, 15, 29 |
| 1, 1, 277, 15, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 17 x 29 x 1 x 1 x 277 x 15 x 1 = 270390780
Therefore, the lowest common multiple of 957,748,831,180,986 is 270390780.
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.
957 x 748 x 831 x 180 x 986 = 105575702395680
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.
957 : 1, 3, 11, 29, 33, 87, 319, 957
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
831 : 1, 3, 277, 831
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
986 : 1, 2, 17, 29, 34, 58, 493, 986
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 957,748,831,180,986, is 1.
Now, the common factors can be found like this.
957:3x 11x 29
748:2x 2x 11x 17
831:3x 277
180:2x 2x 3x 3x 5
986:2x 17x 29
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 11x 17x 29 = 390456
Therefore, the value for common factors is 390456.
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 = 105575702395680/(1x390456)
LCM = 105575702395680/390456
LCM = 270390780
Thus, we can understand that the LCM of 957,748,831,180,986 is 270390780.
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FAQs on LCM of 957, 748, 831, 180, 986
1. What is the LCM of 957, 748, 831, 180, 986?
Answer: LCM of 957, 748, 831, 180, 986 is 270390780.
2. How to calculate the LCM of 957, 748, 831, 180, 986?
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 957, 748, 831, 180, 986.
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}.