LCM of 169, 968, 923, 642, 580
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 169, 968, 923, 642, 580 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 169, 968, 923, 642, 580. So, keep reading to learn more.
Given numbers are 169,968,923,642,580
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 169,968,923,642,580 is 540621664440.
Find LCM of 169,968,923,642,580 with Prime Factorization
| 2 | 169, 968, 923, 642, 580 |
| 2 | 169, 484, 923, 321, 290 |
| 13 | 169, 242, 923, 321, 145 |
| 13, 242, 71, 321, 145 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 13 x 242 x 71 x 321 x 145 = 540621664440
Therefore, the lowest common multiple of 169,968,923,642,580 is 540621664440.
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.
169 x 968 x 923 x 642 x 580 = 56224653101760
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.
169 : 1, 13, 169
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
923 : 1, 13, 71, 923
642 : 1, 2, 3, 6, 107, 214, 321, 642
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,968,923,642,580, is 1.
Now, the common factors can be found like this.
169:13x 13
968:2x 2x 2x 11x 11
923:13x 71
642:2x 3x 107
580:2x 2x 5x 29
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 13 = 104
Therefore, the value for common factors is 104.
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 = 56224653101760/(1x104)
LCM = 56224653101760/104
LCM = 540621664440
Thus, we can understand that the LCM of 169,968,923,642,580 is 540621664440.
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FAQs on LCM of 169, 968, 923, 642, 580
1. What is the LCM of 169, 968, 923, 642, 580?
Answer: LCM of 169, 968, 923, 642, 580 is 540621664440.
2. How to calculate the LCM of 169, 968, 923, 642, 580?
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 169, 968, 923, 642, 580.
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}.