LCM of 986, 418, 310, 522, 744
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 986, 418, 310, 522, 744 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, 418, 310, 522, 744. So, keep reading to learn more.
Given numbers are 986,418,310,522,744
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 986,418,310,522,744 is 1149892920.
Find LCM of 986,418,310,522,744 with Prime Factorization
| 2 | 986, 418, 310, 522, 744 |
| 3 | 493, 209, 155, 261, 372 |
| 29 | 493, 209, 155, 87, 124 |
| 31 | 17, 209, 155, 3, 124 |
| 17, 209, 5, 3, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 31 x 17 x 209 x 5 x 3 x 4 = 1149892920
Therefore, the lowest common multiple of 986,418,310,522,744 is 1149892920.
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 418 x 310 x 522 x 744 = 49620179283840
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
418 : 1, 2, 11, 19, 22, 38, 209, 418
310 : 1, 2, 5, 10, 31, 62, 155, 310
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,418,310,522,744, is 2.
Now, the common factors can be found like this.
986:2x 17x 29
418:2x 11x 19
310:2x 5x 31
522:2x 3x 3x 29
744:2x 2x 2x 3x 31
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 29x 31 = 21576
Therefore, the value for common factors is 21576.
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 = 49620179283840/(2x21576)
LCM = 49620179283840/43152
LCM = 1149892920
Thus, we can understand that the LCM of 986,418,310,522,744 is 1149892920.
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FAQs on LCM of 986, 418, 310, 522, 744
1. What is the LCM of 986, 418, 310, 522, 744?
Answer: LCM of 986, 418, 310, 522, 744 is 1149892920.
2. How to calculate the LCM of 986, 418, 310, 522, 744?
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, 418, 310, 522, 744.
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}.