Find the LCM of 314, 933, 307, 670 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 314, 933, 307, 670. So, keep reading to learn more.
Given numbers are 314,933,307,670
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 314,933,307,670 is 30129676890.
Find LCM of 314,933,307,670 with Prime Factorization
2 | 314, 933, 307, 670 |
157, 933, 307, 335 |
Multiply the prime numbers at the bottom and the left side.
2 x 157 x 933 x 307 x 335 = 30129676890
Therefore, the lowest common multiple of 314,933,307,670 is 30129676890.
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.
314 x 933 x 307 x 670 = 60259353780
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.
314 : 1, 2, 157, 314
933 : 1, 3, 311, 933
307 : 1, 307
670 : 1, 2, 5, 10, 67, 134, 335, 670
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,933,307,670, is 1.
Now, the common factors can be found like this.
314:2x 157
933:3x 311
307:307
670:2x 5x 67
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 = 60259353780/(1x2)
LCM = 60259353780/2
LCM = 30129676890
Thus, we can understand that the LCM of 314,933,307,670 is 30129676890.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 314, 933, 307, 670?
Answer: LCM of 314, 933, 307, 670 is 30129676890.
2. How to calculate the LCM of 314, 933, 307, 670?
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 314, 933, 307, 670.
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}.