LCM of 203, 486, 112, 901, 512
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 203, 486, 112, 901, 512 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 203, 486, 112, 901, 512. So, keep reading to learn more.
Given numbers are 203,486,112,901,512
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 203,486,112,901,512 is 22756059648.
Find LCM of 203,486,112,901,512 with Prime Factorization
| 2 | 203, 486, 112, 901, 512 |
| 2 | 203, 243, 56, 901, 256 |
| 2 | 203, 243, 28, 901, 128 |
| 2 | 203, 243, 14, 901, 64 |
| 7 | 203, 243, 7, 901, 32 |
| 29, 243, 1, 901, 32 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 7 x 29 x 243 x 1 x 901 x 32 = 22756059648
Therefore, the lowest common multiple of 203,486,112,901,512 is 22756059648.
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.
203 x 486 x 112 x 901 x 512 = 5097357361152
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.
203 : 1, 7, 29, 203
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
901 : 1, 17, 53, 901
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 203,486,112,901,512, is 1.
Now, the common factors can be found like this.
203:7x 29
486:2x 3x 3x 3x 3x 3
112:2x 2x 2x 2x 7
901:17x 53
512:2x 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 7 = 224
Therefore, the value for common factors is 224.
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 = 5097357361152/(1x224)
LCM = 5097357361152/224
LCM = 22756059648
Thus, we can understand that the LCM of 203,486,112,901,512 is 22756059648.
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FAQs on LCM of 203, 486, 112, 901, 512
1. What is the LCM of 203, 486, 112, 901, 512?
Answer: LCM of 203, 486, 112, 901, 512 is 22756059648.
2. How to calculate the LCM of 203, 486, 112, 901, 512?
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 203, 486, 112, 901, 512.
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}.