Find the LCM of 713, 187, 578, 121 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 713, 187, 578, 121. So, keep reading to learn more.
Given numbers are 713,187,578,121
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 713,187,578,121 is 49865794.
Find LCM of 713,187,578,121 with Prime Factorization
11 | 713, 187, 578, 121 |
17 | 713, 17, 578, 11 |
713, 1, 34, 11 |
Multiply the prime numbers at the bottom and the left side.
11 x 17 x 713 x 1 x 34 x 11 = 49865794
Therefore, the lowest common multiple of 713,187,578,121 is 49865794.
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.
713 x 187 x 578 x 121 = 9324903478
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.
713 : 1, 23, 31, 713
187 : 1, 11, 17, 187
578 : 1, 2, 17, 34, 289, 578
121 : 1, 11, 121
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 713,187,578,121, is 1.
Now, the common factors can be found like this.
713:23x 31
187:11x 17
578:2x 17x 17
121:11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 17 = 187
Therefore, the value for common factors is 187.
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 = 9324903478/(1x187)
LCM = 9324903478/187
LCM = 49865794
Thus, we can understand that the LCM of 713,187,578,121 is 49865794.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 713, 187, 578, 121?
Answer: LCM of 713, 187, 578, 121 is 49865794.
2. How to calculate the LCM of 713, 187, 578, 121?
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 713, 187, 578, 121.
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}.