LCM of 169, 957, 466, 104, 852
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 169, 957, 466, 104, 852 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, 957, 466, 104, 852. So, keep reading to learn more.
Given numbers are 169,957,466,104,852
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 169,957,466,104,852 is 21404392152.
Find LCM of 169,957,466,104,852 with Prime Factorization
| 2 | 169, 957, 466, 104, 852 |
| 2 | 169, 957, 233, 52, 426 |
| 3 | 169, 957, 233, 26, 213 |
| 13 | 169, 319, 233, 26, 71 |
| 13, 319, 233, 2, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 13 x 319 x 233 x 2 x 71 = 21404392152
Therefore, the lowest common multiple of 169,957,466,104,852 is 21404392152.
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 957 x 466 x 104 x 852 = 6678170351424
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
957 : 1, 3, 11, 29, 33, 87, 319, 957
466 : 1, 2, 233, 466
104 : 1, 2, 4, 8, 13, 26, 52, 104
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,957,466,104,852, is 1.
Now, the common factors can be found like this.
169:13x 13
957:3x 11x 29
466:2x 233
104:2x 2x 2x 13
852:2x 2x 3x 71
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 13 = 312
Therefore, the value for common factors is 312.
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 = 6678170351424/(1x312)
LCM = 6678170351424/312
LCM = 21404392152
Thus, we can understand that the LCM of 169,957,466,104,852 is 21404392152.
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FAQs on LCM of 169, 957, 466, 104, 852
1. What is the LCM of 169, 957, 466, 104, 852?
Answer: LCM of 169, 957, 466, 104, 852 is 21404392152.
2. How to calculate the LCM of 169, 957, 466, 104, 852?
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, 957, 466, 104, 852.
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}.