LCM of 338, 164, 651, 641, 858
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 338, 164, 651, 641, 858 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 338, 164, 651, 641, 858. So, keep reading to learn more.
Given numbers are 338,164,651,641,858
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 338,164,651,641,858 is 127222010916.
Find LCM of 338,164,651,641,858 with Prime Factorization
| 2 | 338, 164, 651, 641, 858 |
| 3 | 169, 82, 651, 641, 429 |
| 13 | 169, 82, 217, 641, 143 |
| 13, 82, 217, 641, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 13 x 82 x 217 x 641 x 11 = 127222010916
Therefore, the lowest common multiple of 338,164,651,641,858 is 127222010916.
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.
338 x 164 x 651 x 641 x 858 = 19846633702896
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.
338 : 1, 2, 13, 26, 169, 338
164 : 1, 2, 4, 41, 82, 164
651 : 1, 3, 7, 21, 31, 93, 217, 651
641 : 1, 641
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,164,651,641,858, is 1.
Now, the common factors can be found like this.
338:2x 13x 13
164:2x 2x 41
651:3x 7x 31
641:641
858:2x 3x 11x 13
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 13 = 156
Therefore, the value for common factors is 156.
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 = 19846633702896/(1x156)
LCM = 19846633702896/156
LCM = 127222010916
Thus, we can understand that the LCM of 338,164,651,641,858 is 127222010916.
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FAQs on LCM of 338, 164, 651, 641, 858
1. What is the LCM of 338, 164, 651, 641, 858?
Answer: LCM of 338, 164, 651, 641, 858 is 127222010916.
2. How to calculate the LCM of 338, 164, 651, 641, 858?
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 338, 164, 651, 641, 858.
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}.