LCM of 563, 195, 406, 868, 403
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 563, 195, 406, 868, 403 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, 195, 406, 868, 403. So, keep reading to learn more.
Given numbers are 563,195,406,868,403
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 563,195,406,868,403 is 2763508020.
Find LCM of 563,195,406,868,403 with Prime Factorization
| 2 | 563, 195, 406, 868, 403 |
| 7 | 563, 195, 203, 434, 403 |
| 13 | 563, 195, 29, 62, 403 |
| 31 | 563, 15, 29, 62, 31 |
| 563, 15, 29, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 13 x 31 x 563 x 15 x 29 x 2 x 1 = 2763508020
Therefore, the lowest common multiple of 563,195,406,868,403 is 2763508020.
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 195 x 406 x 868 x 403 = 15591712248840
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
195 : 1, 3, 5, 13, 15, 39, 65, 195
406 : 1, 2, 7, 14, 29, 58, 203, 406
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
403 : 1, 13, 31, 403
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 563,195,406,868,403, is 1.
Now, the common factors can be found like this.
563:563
195:3x 5x 13
406:2x 7x 29
868:2x 2x 7x 31
403:13x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 13x 31 = 5642
Therefore, the value for common factors is 5642.
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 = 15591712248840/(1x5642)
LCM = 15591712248840/5642
LCM = 2763508020
Thus, we can understand that the LCM of 563,195,406,868,403 is 2763508020.
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FAQs on LCM of 563, 195, 406, 868, 403
1. What is the LCM of 563, 195, 406, 868, 403?
Answer: LCM of 563, 195, 406, 868, 403 is 2763508020.
2. How to calculate the LCM of 563, 195, 406, 868, 403?
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, 195, 406, 868, 403.
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}.