Find the LCM of 313, 932, 428, 742, 120 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 313, 932, 428, 742, 120. So, keep reading to learn more.
Given numbers are 313,932,428,742,120
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 313,932,428,742,120 is 347407501560.
Find LCM of 313,932,428,742,120 with Prime Factorization
2 | 313, 932, 428, 742, 120 |
2 | 313, 466, 214, 371, 60 |
313, 233, 107, 371, 30 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 313 x 233 x 107 x 371 x 30 = 347407501560
Therefore, the lowest common multiple of 313,932,428,742,120 is 347407501560.
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.
313 x 932 x 428 x 742 x 120 = 11117040049920
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.
313 : 1, 313
932 : 1, 2, 4, 233, 466, 932
428 : 1, 2, 4, 107, 214, 428
742 : 1, 2, 7, 14, 53, 106, 371, 742
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,932,428,742,120, is 1.
Now, the common factors can be found like this.
313:313
932:2x 2x 233
428:2x 2x 107
742:2x 7x 53
120:2x 2x 2x 3x 5
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 2x 2 = 32
Therefore, the value for common factors is 32.
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 = 11117040049920/(1x32)
LCM = 11117040049920/32
LCM = 347407501560
Thus, we can understand that the LCM of 313,932,428,742,120 is 347407501560.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 313, 932, 428, 742, 120?
Answer: LCM of 313, 932, 428, 742, 120 is 347407501560.
2. How to calculate the LCM of 313, 932, 428, 742, 120?
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 313, 932, 428, 742, 120.
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}.