Find the LCM of 563, 698, 174 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, 698, 174. So, keep reading to learn more.
Given numbers are 563,698,174
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 563,698,174 is 34188738.
Find LCM of 563,698,174 with Prime Factorization
2 | 563, 698, 174 |
563, 349, 87 |
Multiply the prime numbers at the bottom and the left side.
2 x 563 x 349 x 87 = 34188738
Therefore, the lowest common multiple of 563,698,174 is 34188738.
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 698 x 174 = 68377476
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
698 : 1, 2, 349, 698
174 : 1, 2, 3, 6, 29, 58, 87, 174
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 563,698,174, is 1.
Now, the common factors can be found like this.
563:563
698:2x 349
174:2x 3x 29
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 = 68377476/(1x2)
LCM = 68377476/2
LCM = 34188738
Thus, we can understand that the LCM of 563,698,174 is 34188738.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 563, 698, 174?
Answer: LCM of 563, 698, 174 is 34188738.
2. How to calculate the LCM of 563, 698, 174?
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, 698, 174.
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}.