LCM of 334, 910, 473, 682, 115
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 334, 910, 473, 682, 115 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 334, 910, 473, 682, 115. So, keep reading to learn more.
Given numbers are 334,910,473,682,115
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 334,910,473,682,115 is 51251730530.
Find LCM of 334,910,473,682,115 with Prime Factorization
| 2 | 334, 910, 473, 682, 115 |
| 5 | 167, 455, 473, 341, 115 |
| 11 | 167, 91, 473, 341, 23 |
| 167, 91, 43, 31, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 167 x 91 x 43 x 31 x 23 = 51251730530
Therefore, the lowest common multiple of 334,910,473,682,115 is 51251730530.
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.
334 x 910 x 473 x 682 x 115 = 11275380716600
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.
334 : 1, 2, 167, 334
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
473 : 1, 11, 43, 473
682 : 1, 2, 11, 22, 31, 62, 341, 682
115 : 1, 5, 23, 115
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 334,910,473,682,115, is 1.
Now, the common factors can be found like this.
334:2x 167
910:2x 5x 7x 13
473:11x 43
682:2x 11x 31
115:5x 23
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 11 = 220
Therefore, the value for common factors is 220.
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 = 11275380716600/(1x220)
LCM = 11275380716600/220
LCM = 51251730530
Thus, we can understand that the LCM of 334,910,473,682,115 is 51251730530.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 334, 910, 473, 682, 115
1. What is the LCM of 334, 910, 473, 682, 115?
Answer: LCM of 334, 910, 473, 682, 115 is 51251730530.
2. How to calculate the LCM of 334, 910, 473, 682, 115?
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 334, 910, 473, 682, 115.
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}.