LCM of 288, 360, 460, 644, 841
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 288, 360, 460, 644, 841 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 288, 360, 460, 644, 841. So, keep reading to learn more.
Given numbers are 288,360,460,644,841
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 288,360,460,644,841 is 194977440.
Find LCM of 288,360,460,644,841 with Prime Factorization
| 2 | 288, 360, 460, 644, 841 |
| 2 | 144, 180, 230, 322, 841 |
| 2 | 72, 90, 115, 161, 841 |
| 3 | 36, 45, 115, 161, 841 |
| 3 | 12, 15, 115, 161, 841 |
| 5 | 4, 5, 115, 161, 841 |
| 23 | 4, 1, 23, 161, 841 |
| 4, 1, 1, 7, 841 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 5 x 23 x 4 x 1 x 1 x 7 x 841 = 194977440
Therefore, the lowest common multiple of 288,360,460,644,841 is 194977440.
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.
288 x 360 x 460 x 644 x 841 = 25830611251200
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.
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
841 : 1, 29, 841
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 288,360,460,644,841, is 1.
Now, the common factors can be found like this.
288:2x 2x 2x 2x 2x 3x 3
360:2x 2x 2x 3x 3x 5
460:2x 2x 5x 23
644:2x 2x 7x 23
841:29x 29
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 2x 2x 2x 2x 3x 3x 5x 23 = 132480
Therefore, the value for common factors is 132480.
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 = 25830611251200/(1x132480)
LCM = 25830611251200/132480
LCM = 194977440
Thus, we can understand that the LCM of 288,360,460,644,841 is 194977440.
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FAQs on LCM of 288, 360, 460, 644, 841
1. What is the LCM of 288, 360, 460, 644, 841?
Answer: LCM of 288, 360, 460, 644, 841 is 194977440.
2. How to calculate the LCM of 288, 360, 460, 644, 841?
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 288, 360, 460, 644, 841.
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}.