LCM of 281, 560, 566, 128, 467
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 281, 560, 566, 128, 467 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 281, 560, 566, 128, 467. So, keep reading to learn more.
Given numbers are 281,560,566,128,467
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 281,560,566,128,467 is 166374839680.
Find LCM of 281,560,566,128,467 with Prime Factorization
| 2 | 281, 560, 566, 128, 467 |
| 2 | 281, 280, 283, 64, 467 |
| 2 | 281, 140, 283, 32, 467 |
| 2 | 281, 70, 283, 16, 467 |
| 281, 35, 283, 8, 467 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 281 x 35 x 283 x 8 x 467 = 166374839680
Therefore, the lowest common multiple of 281,560,566,128,467 is 166374839680.
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.
281 x 560 x 566 x 128 x 467 = 5323994869760
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.
281 : 1, 281
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
566 : 1, 2, 283, 566
128 : 1, 2, 4, 8, 16, 32, 64, 128
467 : 1, 467
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 281,560,566,128,467, is 1.
Now, the common factors can be found like this.
281:281
560:2x 2x 2x 2x 5x 7
566:2x 283
128:2x 2x 2x 2x 2x 2x 2
467:467
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 2 = 32
Therefore, the value for common factors is 32.
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 = 5323994869760/(1x32)
LCM = 5323994869760/32
LCM = 166374839680
Thus, we can understand that the LCM of 281,560,566,128,467 is 166374839680.
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FAQs on LCM of 281, 560, 566, 128, 467
1. What is the LCM of 281, 560, 566, 128, 467?
Answer: LCM of 281, 560, 566, 128, 467 is 166374839680.
2. How to calculate the LCM of 281, 560, 566, 128, 467?
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 281, 560, 566, 128, 467.
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}.