LCM of 658, 985, 819, 719, 755
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 658, 985, 819, 719, 755 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 658, 985, 819, 719, 755. So, keep reading to learn more.
Given numbers are 658,985,819,719,755
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 658,985,819,719,755 is 8232918638490.
Find LCM of 658,985,819,719,755 with Prime Factorization
| 5 | 658, 985, 819, 719, 755 |
| 7 | 658, 197, 819, 719, 151 |
| 94, 197, 117, 719, 151 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 94 x 197 x 117 x 719 x 151 = 8232918638490
Therefore, the lowest common multiple of 658,985,819,719,755 is 8232918638490.
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.
658 x 985 x 819 x 719 x 755 = 288152152347150
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.
658 : 1, 2, 7, 14, 47, 94, 329, 658
985 : 1, 5, 197, 985
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
719 : 1, 719
755 : 1, 5, 151, 755
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 658,985,819,719,755, is 1.
Now, the common factors can be found like this.
658:2x 7x 47
985:5x 197
819:3x 3x 7x 13
719:719
755:5x 151
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 7 = 35
Therefore, the value for common factors is 35.
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 = 288152152347150/(1x35)
LCM = 288152152347150/35
LCM = 8232918638490
Thus, we can understand that the LCM of 658,985,819,719,755 is 8232918638490.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 658, 985, 819, 719, 755
1. What is the LCM of 658, 985, 819, 719, 755?
Answer: LCM of 658, 985, 819, 719, 755 is 8232918638490.
2. How to calculate the LCM of 658, 985, 819, 719, 755?
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 658, 985, 819, 719, 755.
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}.