LCM of 391, 858, 961, 839, 506
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 391, 858, 961, 839, 506 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 391, 858, 961, 839, 506. So, keep reading to learn more.
Given numbers are 391,858,961,839,506
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 391,858,961,839,506 is 270488866362.
Find LCM of 391,858,961,839,506 with Prime Factorization
| 2 | 391, 858, 961, 839, 506 |
| 11 | 391, 429, 961, 839, 253 |
| 23 | 391, 39, 961, 839, 23 |
| 17, 39, 961, 839, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 23 x 17 x 39 x 961 x 839 x 1 = 270488866362
Therefore, the lowest common multiple of 391,858,961,839,506 is 270488866362.
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.
391 x 858 x 961 x 839 x 506 = 136867366379172
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.
391 : 1, 17, 23, 391
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
961 : 1, 31, 961
839 : 1, 839
506 : 1, 2, 11, 22, 23, 46, 253, 506
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,858,961,839,506, is 1.
Now, the common factors can be found like this.
391:17x 23
858:2x 3x 11x 13
961:31x 31
839:839
506:2x 11x 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 11x 23 = 506
Therefore, the value for common factors is 506.
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 = 136867366379172/(1x506)
LCM = 136867366379172/506
LCM = 270488866362
Thus, we can understand that the LCM of 391,858,961,839,506 is 270488866362.
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FAQs on LCM of 391, 858, 961, 839, 506
1. What is the LCM of 391, 858, 961, 839, 506?
Answer: LCM of 391, 858, 961, 839, 506 is 270488866362.
2. How to calculate the LCM of 391, 858, 961, 839, 506?
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 391, 858, 961, 839, 506.
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}.