LCM of 614, 989, 923, 602, 718
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 614, 989, 923, 602, 718 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 614, 989, 923, 602, 718. So, keep reading to learn more.
Given numbers are 614,989,923,602,718
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 614,989,923,602,718 is 1408506489754.
Find LCM of 614,989,923,602,718 with Prime Factorization
| 2 | 614, 989, 923, 602, 718 |
| 43 | 307, 989, 923, 301, 359 |
| 307, 23, 923, 7, 359 |
Multiply the prime numbers at the bottom and the left side.
2 x 43 x 307 x 23 x 923 x 7 x 359 = 1408506489754
Therefore, the lowest common multiple of 614,989,923,602,718 is 1408506489754.
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.
614 x 989 x 923 x 602 x 718 = 242263116237688
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.
614 : 1, 2, 307, 614
989 : 1, 23, 43, 989
923 : 1, 13, 71, 923
602 : 1, 2, 7, 14, 43, 86, 301, 602
718 : 1, 2, 359, 718
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,989,923,602,718, is 1.
Now, the common factors can be found like this.
614:2x 307
989:23x 43
923:13x 71
602:2x 7x 43
718:2x 359
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 43 = 172
Therefore, the value for common factors is 172.
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 = 242263116237688/(1x172)
LCM = 242263116237688/172
LCM = 1408506489754
Thus, we can understand that the LCM of 614,989,923,602,718 is 1408506489754.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 614, 989, 923, 602, 718
1. What is the LCM of 614, 989, 923, 602, 718?
Answer: LCM of 614, 989, 923, 602, 718 is 1408506489754.
2. How to calculate the LCM of 614, 989, 923, 602, 718?
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 614, 989, 923, 602, 718.
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}.