LCM of 689, 728, 148, 962, 508
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 689, 728, 148, 962, 508 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 689, 728, 148, 962, 508. So, keep reading to learn more.
Given numbers are 689,728,148,962,508
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 689,728,148,962,508 is 181306216.
Find LCM of 689,728,148,962,508 with Prime Factorization
| 2 | 689, 728, 148, 962, 508 |
| 2 | 689, 364, 74, 481, 254 |
| 13 | 689, 182, 37, 481, 127 |
| 37 | 53, 14, 37, 37, 127 |
| 53, 14, 1, 1, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 37 x 53 x 14 x 1 x 1 x 127 = 181306216
Therefore, the lowest common multiple of 689,728,148,962,508 is 181306216.
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.
689 x 728 x 148 x 962 x 508 = 36278648596736
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.
689 : 1, 13, 53, 689
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
148 : 1, 2, 4, 37, 74, 148
962 : 1, 2, 13, 26, 37, 74, 481, 962
508 : 1, 2, 4, 127, 254, 508
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,728,148,962,508, is 1.
Now, the common factors can be found like this.
689:13x 53
728:2x 2x 2x 7x 13
148:2x 2x 37
962:2x 13x 37
508:2x 2x 127
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 13x 13x 37 = 200096
Therefore, the value for common factors is 200096.
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 = 36278648596736/(1x200096)
LCM = 36278648596736/200096
LCM = 181306216
Thus, we can understand that the LCM of 689,728,148,962,508 is 181306216.
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FAQs on LCM of 689, 728, 148, 962, 508
1. What is the LCM of 689, 728, 148, 962, 508?
Answer: LCM of 689, 728, 148, 962, 508 is 181306216.
2. How to calculate the LCM of 689, 728, 148, 962, 508?
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 689, 728, 148, 962, 508.
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}.