Find the LCM of 301, 692, 451, 162 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 301, 692, 451, 162. So, keep reading to learn more.
Given numbers are 301,692,451,162
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 301,692,451,162 is 7609115052.
Find LCM of 301,692,451,162 with Prime Factorization
2 | 301, 692, 451, 162 |
301, 346, 451, 81 |
Multiply the prime numbers at the bottom and the left side.
2 x 301 x 346 x 451 x 81 = 7609115052
Therefore, the lowest common multiple of 301,692,451,162 is 7609115052.
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.
301 x 692 x 451 x 162 = 15218230104
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.
301 : 1, 7, 43, 301
692 : 1, 2, 4, 173, 346, 692
451 : 1, 11, 41, 451
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 301,692,451,162, is 1.
Now, the common factors can be found like this.
301:7x 43
692:2x 2x 173
451:11x 41
162:2x 3x 3x 3x 3
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 = 15218230104/(1x2)
LCM = 15218230104/2
LCM = 7609115052
Thus, we can understand that the LCM of 301,692,451,162 is 7609115052.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 301, 692, 451, 162?
Answer: LCM of 301, 692, 451, 162 is 7609115052.
2. How to calculate the LCM of 301, 692, 451, 162?
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 301, 692, 451, 162.
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}.