LCM of 563, 697, 136, 788, 206
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 563, 697, 136, 788, 206 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, 697, 136, 788, 206. So, keep reading to learn more.
Given numbers are 563,697,136,788,206
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 563,697,136,788,206 is 63699292808.
Find LCM of 563,697,136,788,206 with Prime Factorization
| 2 | 563, 697, 136, 788, 206 |
| 2 | 563, 697, 68, 394, 103 |
| 17 | 563, 697, 34, 197, 103 |
| 563, 41, 2, 197, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 563 x 41 x 2 x 197 x 103 = 63699292808
Therefore, the lowest common multiple of 563,697,136,788,206 is 63699292808.
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 697 x 136 x 788 x 206 = 8663103821888
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
697 : 1, 17, 41, 697
136 : 1, 2, 4, 8, 17, 34, 68, 136
788 : 1, 2, 4, 197, 394, 788
206 : 1, 2, 103, 206
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 563,697,136,788,206, is 1.
Now, the common factors can be found like this.
563:563
697:17x 41
136:2x 2x 2x 17
788:2x 2x 197
206:2x 103
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 17 = 136
Therefore, the value for common factors is 136.
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 = 8663103821888/(1x136)
LCM = 8663103821888/136
LCM = 63699292808
Thus, we can understand that the LCM of 563,697,136,788,206 is 63699292808.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 563, 697, 136, 788, 206
1. What is the LCM of 563, 697, 136, 788, 206?
Answer: LCM of 563, 697, 136, 788, 206 is 63699292808.
2. How to calculate the LCM of 563, 697, 136, 788, 206?
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, 697, 136, 788, 206.
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}.