LCM of 562, 142, 400, 864, 261
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 562, 142, 400, 864, 261 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 562, 142, 400, 864, 261. So, keep reading to learn more.
Given numbers are 562,142,400,864,261
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 562,142,400,864,261 is 12497306400.
Find LCM of 562,142,400,864,261 with Prime Factorization
| 2 | 562, 142, 400, 864, 261 |
| 2 | 281, 71, 200, 432, 261 |
| 2 | 281, 71, 100, 216, 261 |
| 2 | 281, 71, 50, 108, 261 |
| 3 | 281, 71, 25, 54, 261 |
| 3 | 281, 71, 25, 18, 87 |
| 281, 71, 25, 6, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 281 x 71 x 25 x 6 x 29 = 12497306400
Therefore, the lowest common multiple of 562,142,400,864,261 is 12497306400.
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.
562 x 142 x 400 x 864 x 261 = 7198448486400
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.
562 : 1, 2, 281, 562
142 : 1, 2, 71, 142
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
261 : 1, 3, 9, 29, 87, 261
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 562,142,400,864,261, is 1.
Now, the common factors can be found like this.
562:2x 281
142:2x 71
400:2x 2x 2x 2x 5x 5
864:2x 2x 2x 2x 2x 3x 3x 3
261:3x 3x 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 3x 3 = 576
Therefore, the value for common factors is 576.
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 = 7198448486400/(1x576)
LCM = 7198448486400/576
LCM = 12497306400
Thus, we can understand that the LCM of 562,142,400,864,261 is 12497306400.
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FAQs on LCM of 562, 142, 400, 864, 261
1. What is the LCM of 562, 142, 400, 864, 261?
Answer: LCM of 562, 142, 400, 864, 261 is 12497306400.
2. How to calculate the LCM of 562, 142, 400, 864, 261?
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 562, 142, 400, 864, 261.
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}.