Find the LCM of 122, 314, 412, 174, 591 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 122, 314, 412, 174, 591. So, keep reading to learn more.
Given numbers are 122,314,412,174,591
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 122,314,412,174,591 is 67625763636.
Find LCM of 122,314,412,174,591 with Prime Factorization
2 | 122, 314, 412, 174, 591 |
3 | 61, 157, 206, 87, 591 |
61, 157, 206, 29, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 61 x 157 x 206 x 29 x 197 = 67625763636
Therefore, the lowest common multiple of 122,314,412,174,591 is 67625763636.
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.
122 x 314 x 412 x 174 x 591 = 1623018327264
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.
122 : 1, 2, 61, 122
314 : 1, 2, 157, 314
412 : 1, 2, 4, 103, 206, 412
174 : 1, 2, 3, 6, 29, 58, 87, 174
591 : 1, 3, 197, 591
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 122,314,412,174,591, is 1.
Now, the common factors can be found like this.
122:2x 61
314:2x 157
412:2x 2x 103
174:2x 3x 29
591:3x 197
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 3 = 24
Therefore, the value for common factors is 24.
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 = 1623018327264/(1x24)
LCM = 1623018327264/24
LCM = 67625763636
Thus, we can understand that the LCM of 122,314,412,174,591 is 67625763636.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 122, 314, 412, 174, 591?
Answer: LCM of 122, 314, 412, 174, 591 is 67625763636.
2. How to calculate the LCM of 122, 314, 412, 174, 591?
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 122, 314, 412, 174, 591.
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}.