LCM of 949, 405, 226, 678, 710
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 949, 405, 226, 678, 710 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 949, 405, 226, 678, 710. So, keep reading to learn more.
Given numbers are 949,405,226,678,710
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 949,405,226,678,710 is 6167199870.
Find LCM of 949,405,226,678,710 with Prime Factorization
| 2 | 949, 405, 226, 678, 710 |
| 3 | 949, 405, 113, 339, 355 |
| 5 | 949, 135, 113, 113, 355 |
| 113 | 949, 27, 113, 113, 71 |
| 949, 27, 1, 1, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 113 x 949 x 27 x 1 x 1 x 71 = 6167199870
Therefore, the lowest common multiple of 949,405,226,678,710 is 6167199870.
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.
949 x 405 x 226 x 678 x 710 = 41813615118600
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.
949 : 1, 13, 73, 949
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
226 : 1, 2, 113, 226
678 : 1, 2, 3, 6, 113, 226, 339, 678
710 : 1, 2, 5, 10, 71, 142, 355, 710
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 949,405,226,678,710, is 1.
Now, the common factors can be found like this.
949:13x 73
405:3x 3x 3x 3x 5
226:2x 113
678:2x 3x 113
710:2x 5x 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 3x 5x 113 = 6780
Therefore, the value for common factors is 6780.
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 = 41813615118600/(1x6780)
LCM = 41813615118600/6780
LCM = 6167199870
Thus, we can understand that the LCM of 949,405,226,678,710 is 6167199870.
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FAQs on LCM of 949, 405, 226, 678, 710
1. What is the LCM of 949, 405, 226, 678, 710?
Answer: LCM of 949, 405, 226, 678, 710 is 6167199870.
2. How to calculate the LCM of 949, 405, 226, 678, 710?
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 949, 405, 226, 678, 710.
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}.