LCM of 388, 646, 954, 209, 946
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 388, 646, 954, 209, 946 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 388, 646, 954, 209, 946. So, keep reading to learn more.
Given numbers are 388,646,954,209,946
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 388,646,954,209,946 is 28275726204.
Find LCM of 388,646,954,209,946 with Prime Factorization
| 2 | 388, 646, 954, 209, 946 |
| 11 | 194, 323, 477, 209, 473 |
| 19 | 194, 323, 477, 19, 43 |
| 194, 17, 477, 1, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 19 x 194 x 17 x 477 x 1 x 43 = 28275726204
Therefore, the lowest common multiple of 388,646,954,209,946 is 28275726204.
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.
388 x 646 x 954 x 209 x 946 = 47277014213088
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.
388 : 1, 2, 4, 97, 194, 388
646 : 1, 2, 17, 19, 34, 38, 323, 646
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
209 : 1, 11, 19, 209
946 : 1, 2, 11, 22, 43, 86, 473, 946
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 388,646,954,209,946, is 1.
Now, the common factors can be found like this.
388:2x 2x 97
646:2x 17x 19
954:2x 3x 3x 53
209:11x 19
946:2x 11x 43
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 2x 11x 19 = 1672
Therefore, the value for common factors is 1672.
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 = 47277014213088/(1x1672)
LCM = 47277014213088/1672
LCM = 28275726204
Thus, we can understand that the LCM of 388,646,954,209,946 is 28275726204.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 388, 646, 954, 209, 946
1. What is the LCM of 388, 646, 954, 209, 946?
Answer: LCM of 388, 646, 954, 209, 946 is 28275726204.
2. How to calculate the LCM of 388, 646, 954, 209, 946?
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 388, 646, 954, 209, 946.
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}.