LCM of 986, 928, 976, 306, 446
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 986, 928, 976, 306, 446 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, 928, 976, 306, 446. So, keep reading to learn more.
Given numbers are 986,928,976,306,446
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 986,928,976,306,446 is 1931408352.
Find LCM of 986,928,976,306,446 with Prime Factorization
| 2 | 986, 928, 976, 306, 446 |
| 2 | 493, 464, 488, 153, 223 |
| 2 | 493, 232, 244, 153, 223 |
| 2 | 493, 116, 122, 153, 223 |
| 17 | 493, 58, 61, 153, 223 |
| 29 | 29, 58, 61, 9, 223 |
| 1, 2, 61, 9, 223 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 17 x 29 x 1 x 2 x 61 x 9 x 223 = 1931408352
Therefore, the lowest common multiple of 986,928,976,306,446 is 1931408352.
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 928 x 976 x 306 x 446 = 121879592644608
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
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
446 : 1, 2, 223, 446
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,928,976,306,446, is 2.
Now, the common factors can be found like this.
986:2x 17x 29
928:2x 2x 2x 2x 2x 29
976:2x 2x 2x 2x 61
306:2x 3x 3x 17
446:2x 223
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 2x 17x 29 = 31552
Therefore, the value for common factors is 31552.
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 = 121879592644608/(2x31552)
LCM = 121879592644608/63104
LCM = 1931408352
Thus, we can understand that the LCM of 986,928,976,306,446 is 1931408352.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 986, 928, 976, 306, 446
1. What is the LCM of 986, 928, 976, 306, 446?
Answer: LCM of 986, 928, 976, 306, 446 is 1931408352.
2. How to calculate the LCM of 986, 928, 976, 306, 446?
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, 928, 976, 306, 446.
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}.