LCM of 169, 834, 949, 417
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 169, 834, 949, 417 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, 834, 949, 417. So, keep reading to learn more.
Given numbers are 169,834,949,417
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 169,834,949,417 is 10289058.
Find LCM of 169,834,949,417 with Prime Factorization
| 3 | 169, 834, 949, 417 |
| 13 | 169, 278, 949, 139 |
| 139 | 13, 278, 73, 139 |
| 13, 2, 73, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 139 x 13 x 2 x 73 x 1 = 10289058
Therefore, the lowest common multiple of 169,834,949,417 is 10289058.
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 834 x 949 x 417 = 55776983418
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
834 : 1, 2, 3, 6, 139, 278, 417, 834
949 : 1, 13, 73, 949
417 : 1, 3, 139, 417
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,834,949,417, is 1.
Now, the common factors can be found like this.
169:13x 13
834:2x 3x 139
949:13x 73
417:3x 139
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 13x 139 = 5421
Therefore, the value for common factors is 5421.
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 = 55776983418/(1x5421)
LCM = 55776983418/5421
LCM = 10289058
Thus, we can understand that the LCM of 169,834,949,417 is 10289058.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 169, 834, 949, 417
1. What is the LCM of 169, 834, 949, 417?
Answer: LCM of 169, 834, 949, 417 is 10289058.
2. How to calculate the LCM of 169, 834, 949, 417?
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, 834, 949, 417.
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}.