LCM of 654, 192, 221, 897, 646
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 654, 192, 221, 897, 646 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 654, 192, 221, 897, 646. So, keep reading to learn more.
Given numbers are 654,192,221,897,646
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 654,192,221,897,646 is 2021163456.
Find LCM of 654,192,221,897,646 with Prime Factorization
| 2 | 654, 192, 221, 897, 646 |
| 3 | 327, 96, 221, 897, 323 |
| 13 | 109, 32, 221, 299, 323 |
| 17 | 109, 32, 17, 23, 323 |
| 109, 32, 1, 23, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 17 x 109 x 32 x 1 x 23 x 19 = 2021163456
Therefore, the lowest common multiple of 654,192,221,897,646 is 2021163456.
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.
654 x 192 x 221 x 897 x 646 = 16080376455936
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.
654 : 1, 2, 3, 6, 109, 218, 327, 654
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
221 : 1, 13, 17, 221
897 : 1, 3, 13, 23, 39, 69, 299, 897
646 : 1, 2, 17, 19, 34, 38, 323, 646
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 654,192,221,897,646, is 1.
Now, the common factors can be found like this.
654:2x 3x 109
192:2x 2x 2x 2x 2x 2x 3
221:13x 17
897:3x 13x 23
646:2x 17x 19
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 3x 13x 17 = 7956
Therefore, the value for common factors is 7956.
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 = 16080376455936/(1x7956)
LCM = 16080376455936/7956
LCM = 2021163456
Thus, we can understand that the LCM of 654,192,221,897,646 is 2021163456.
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FAQs on LCM of 654, 192, 221, 897, 646
1. What is the LCM of 654, 192, 221, 897, 646?
Answer: LCM of 654, 192, 221, 897, 646 is 2021163456.
2. How to calculate the LCM of 654, 192, 221, 897, 646?
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 654, 192, 221, 897, 646.
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}.