LCM of 922, 986, 463, 406, 998
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 922, 986, 463, 406, 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 922, 986, 463, 406, 998. So, keep reading to learn more.
Given numbers are 922,986,463,406,998
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 922,986,463,406,998 is 735118609414.
Find LCM of 922,986,463,406,998 with Prime Factorization
| 2 | 922, 986, 463, 406, 998 |
| 29 | 461, 493, 463, 203, 499 |
| 461, 17, 463, 7, 499 |
Multiply the prime numbers at the bottom and the left side.
2 x 29 x 461 x 17 x 463 x 7 x 499 = 735118609414
Therefore, the lowest common multiple of 922,986,463,406,998 is 735118609414.
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.
922 x 986 x 463 x 406 x 998 = 170547517384048
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.
922 : 1, 2, 461, 922
986 : 1, 2, 17, 29, 34, 58, 493, 986
463 : 1, 463
406 : 1, 2, 7, 14, 29, 58, 203, 406
998 : 1, 2, 499, 998
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 922,986,463,406,998, is 1.
Now, the common factors can be found like this.
922:2x 461
986:2x 17x 29
463:463
406:2x 7x 29
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 29 = 232
Therefore, the value for common factors is 232.
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 = 170547517384048/(1x232)
LCM = 170547517384048/232
LCM = 735118609414
Thus, we can understand that the LCM of 922,986,463,406,998 is 735118609414.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 922, 986, 463, 406, 998
1. What is the LCM of 922, 986, 463, 406, 998?
Answer: LCM of 922, 986, 463, 406, 998 is 735118609414.
2. How to calculate the LCM of 922, 986, 463, 406, 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 922, 986, 463, 406, 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}.