Find the LCM of 315, 310, 855, 372 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 315, 310, 855, 372. So, keep reading to learn more.
Given numbers are 315,310,855,372
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 315,310,855,372 is 742140.
Find LCM of 315,310,855,372 with Prime Factorization
2 | 315, 310, 855, 372 |
3 | 315, 155, 855, 186 |
3 | 105, 155, 285, 62 |
5 | 35, 155, 95, 62 |
31 | 7, 31, 19, 62 |
7, 1, 19, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 31 x 7 x 1 x 19 x 2 = 742140
Therefore, the lowest common multiple of 315,310,855,372 is 742140.
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.
315 x 310 x 855 x 372 = 31058559000
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.
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
310 : 1, 2, 5, 10, 31, 62, 155, 310
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,310,855,372, is 1.
Now, the common factors can be found like this.
315:3x 3x 5x 7
310:2x 5x 31
855:3x 3x 5x 19
372:2x 2x 3x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 5x 5x 31 = 41850
Therefore, the value for common factors is 41850.
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 = 31058559000/(1x41850)
LCM = 31058559000/41850
LCM = 742140
Thus, we can understand that the LCM of 315,310,855,372 is 742140.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 315, 310, 855, 372?
Answer: LCM of 315, 310, 855, 372 is 742140.
2. How to calculate the LCM of 315, 310, 855, 372?
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 315, 310, 855, 372.
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}.