LCM of 415, 174, 145, 916, 686
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 415, 174, 145, 916, 686 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 415, 174, 145, 916, 686. So, keep reading to learn more.
Given numbers are 415,174,145,916,686
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 415,174,145,916,686 is 11343757740.
Find LCM of 415,174,145,916,686 with Prime Factorization
| 2 | 415, 174, 145, 916, 686 |
| 5 | 415, 87, 145, 458, 343 |
| 29 | 83, 87, 29, 458, 343 |
| 83, 3, 1, 458, 343 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 29 x 83 x 3 x 1 x 458 x 343 = 11343757740
Therefore, the lowest common multiple of 415,174,145,916,686 is 11343757740.
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.
415 x 174 x 145 x 916 x 686 = 6579379489200
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.
415 : 1, 5, 83, 415
174 : 1, 2, 3, 6, 29, 58, 87, 174
145 : 1, 5, 29, 145
916 : 1, 2, 4, 229, 458, 916
686 : 1, 2, 7, 14, 49, 98, 343, 686
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 415,174,145,916,686, is 1.
Now, the common factors can be found like this.
415:5x 83
174:2x 3x 29
145:5x 29
916:2x 2x 229
686:2x 7x 7x 7
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 5x 29 = 580
Therefore, the value for common factors is 580.
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 = 6579379489200/(1x580)
LCM = 6579379489200/580
LCM = 11343757740
Thus, we can understand that the LCM of 415,174,145,916,686 is 11343757740.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 415, 174, 145, 916, 686
1. What is the LCM of 415, 174, 145, 916, 686?
Answer: LCM of 415, 174, 145, 916, 686 is 11343757740.
2. How to calculate the LCM of 415, 174, 145, 916, 686?
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 415, 174, 145, 916, 686.
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}.