LCM of 169, 965, 850, 340, 536
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 169, 965, 850, 340, 536 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, 965, 850, 340, 536. So, keep reading to learn more.
Given numbers are 169,965,850,340,536
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 169,965,850,340,536 is 7430152600.
Find LCM of 169,965,850,340,536 with Prime Factorization
| 2 | 169, 965, 850, 340, 536 |
| 2 | 169, 965, 425, 170, 268 |
| 5 | 169, 965, 425, 85, 134 |
| 17 | 169, 193, 17, 85, 134 |
| 169, 193, 1, 5, 134 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 17 x 169 x 193 x 1 x 5 x 134 = 7430152600
Therefore, the lowest common multiple of 169,965,850,340,536 is 7430152600.
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 965 x 850 x 340 x 536 = 25262518840000
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
965 : 1, 5, 193, 965
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
536 : 1, 2, 4, 8, 67, 134, 268, 536
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,965,850,340,536, is 1.
Now, the common factors can be found like this.
169:13x 13
965:5x 193
850:2x 5x 5x 17
340:2x 2x 5x 17
536:2x 2x 2x 67
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 5x 5x 17 = 3400
Therefore, the value for common factors is 3400.
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 = 25262518840000/(1x3400)
LCM = 25262518840000/3400
LCM = 7430152600
Thus, we can understand that the LCM of 169,965,850,340,536 is 7430152600.
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FAQs on LCM of 169, 965, 850, 340, 536
1. What is the LCM of 169, 965, 850, 340, 536?
Answer: LCM of 169, 965, 850, 340, 536 is 7430152600.
2. How to calculate the LCM of 169, 965, 850, 340, 536?
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, 965, 850, 340, 536.
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}.