Find the LCM of 563, 713, 901, 508, 938 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, 713, 901, 508, 938. So, keep reading to learn more.
Given numbers are 563,713,901,508,938
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 563,713,901,508,938 is 86170630508788.
Find LCM of 563,713,901,508,938 with Prime Factorization
2 | 563, 713, 901, 508, 938 |
563, 713, 901, 254, 469 |
Multiply the prime numbers at the bottom and the left side.
2 x 563 x 713 x 901 x 254 x 469 = 86170630508788
Therefore, the lowest common multiple of 563,713,901,508,938 is 86170630508788.
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 713 x 901 x 508 x 938 = 172341261017576
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
713 : 1, 23, 31, 713
901 : 1, 17, 53, 901
508 : 1, 2, 4, 127, 254, 508
938 : 1, 2, 7, 14, 67, 134, 469, 938
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 563,713,901,508,938, is 1.
Now, the common factors can be found like this.
563:563
713:23x 31
901:17x 53
508:2x 2x 127
938:2x 7x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 172341261017576/(1x2)
LCM = 172341261017576/2
LCM = 86170630508788
Thus, we can understand that the LCM of 563,713,901,508,938 is 86170630508788.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 563, 713, 901, 508, 938?
Answer: LCM of 563, 713, 901, 508, 938 is 86170630508788.
2. How to calculate the LCM of 563, 713, 901, 508, 938?
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, 713, 901, 508, 938.
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}.