LCM of 563, 126, 418, 228, 795
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 563, 126, 418, 228, 795 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 563, 126, 418, 228, 795. So, keep reading to learn more.
Given numbers are 563,126,418,228,795
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 563,126,418,228,795 is 7857802260.
Find LCM of 563,126,418,228,795 with Prime Factorization
| 2 | 563, 126, 418, 228, 795 |
| 3 | 563, 63, 209, 114, 795 |
| 19 | 563, 21, 209, 38, 265 |
| 563, 21, 11, 2, 265 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 563 x 21 x 11 x 2 x 265 = 7857802260
Therefore, the lowest common multiple of 563,126,418,228,795 is 7857802260.
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.
563 x 126 x 418 x 228 x 795 = 5374736745840
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.
563 : 1, 563
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
418 : 1, 2, 11, 19, 22, 38, 209, 418
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
795 : 1, 3, 5, 15, 53, 159, 265, 795
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 563,126,418,228,795, is 1.
Now, the common factors can be found like this.
563:563
126:2x 3x 3x 7
418:2x 11x 19
228:2x 2x 3x 19
795:3x 5x 53
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 3x 3x 19 = 684
Therefore, the value for common factors is 684.
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 = 5374736745840/(1x684)
LCM = 5374736745840/684
LCM = 7857802260
Thus, we can understand that the LCM of 563,126,418,228,795 is 7857802260.
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FAQs on LCM of 563, 126, 418, 228, 795
1. What is the LCM of 563, 126, 418, 228, 795?
Answer: LCM of 563, 126, 418, 228, 795 is 7857802260.
2. How to calculate the LCM of 563, 126, 418, 228, 795?
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 563, 126, 418, 228, 795.
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}.