LCM of 253, 768, 642, 428
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 253, 768, 642, 428 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 253, 768, 642, 428. So, keep reading to learn more.
Given numbers are 253,768,642,428
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 253,768,642,428 is 20790528.
Find LCM of 253,768,642,428 with Prime Factorization
| 2 | 253, 768, 642, 428 |
| 2 | 253, 384, 321, 214 |
| 3 | 253, 192, 321, 107 |
| 107 | 253, 64, 107, 107 |
| 253, 64, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 107 x 253 x 64 x 1 x 1 = 20790528
Therefore, the lowest common multiple of 253,768,642,428 is 20790528.
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.
253 x 768 x 642 x 428 = 53390075904
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.
253 : 1, 11, 23, 253
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
642 : 1, 2, 3, 6, 107, 214, 321, 642
428 : 1, 2, 4, 107, 214, 428
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,768,642,428, is 1.
Now, the common factors can be found like this.
253:11x 23
768:2x 2x 2x 2x 2x 2x 2x 2x 3
642:2x 3x 107
428:2x 2x 107
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 3x 107 = 2568
Therefore, the value for common factors is 2568.
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 = 53390075904/(1x2568)
LCM = 53390075904/2568
LCM = 20790528
Thus, we can understand that the LCM of 253,768,642,428 is 20790528.
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FAQs on LCM of 253, 768, 642, 428
1. What is the LCM of 253, 768, 642, 428?
Answer: LCM of 253, 768, 642, 428 is 20790528.
2. How to calculate the LCM of 253, 768, 642, 428?
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 253, 768, 642, 428.
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}.