LCM of 552, 725, 632, 906, 256
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 552, 725, 632, 906, 256 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 552, 725, 632, 906, 256. So, keep reading to learn more.
Given numbers are 552,725,632,906,256
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 552,725,632,906,256 is 152767545600.
Find LCM of 552,725,632,906,256 with Prime Factorization
| 2 | 552, 725, 632, 906, 256 |
| 2 | 276, 725, 316, 453, 128 |
| 2 | 138, 725, 158, 453, 64 |
| 3 | 69, 725, 79, 453, 32 |
| 23, 725, 79, 151, 32 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 23 x 725 x 79 x 151 x 32 = 152767545600
Therefore, the lowest common multiple of 552,725,632,906,256 is 152767545600.
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.
552 x 725 x 632 x 906 x 256 = 58662737510400
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.
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
725 : 1, 5, 25, 29, 145, 725
632 : 1, 2, 4, 8, 79, 158, 316, 632
906 : 1, 2, 3, 6, 151, 302, 453, 906
256 : 1, 2, 4, 8, 16, 32, 64, 128, 256
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 552,725,632,906,256, is 1.
Now, the common factors can be found like this.
552:2x 2x 2x 3x 23
725:5x 5x 29
632:2x 2x 2x 79
906:2x 3x 151
256:2x 2x 2x 2x 2x 2x 2x 2
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 3 = 384
Therefore, the value for common factors is 384.
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 = 58662737510400/(1x384)
LCM = 58662737510400/384
LCM = 152767545600
Thus, we can understand that the LCM of 552,725,632,906,256 is 152767545600.
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FAQs on LCM of 552, 725, 632, 906, 256
1. What is the LCM of 552, 725, 632, 906, 256?
Answer: LCM of 552, 725, 632, 906, 256 is 152767545600.
2. How to calculate the LCM of 552, 725, 632, 906, 256?
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 552, 725, 632, 906, 256.
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}.