Find the LCM of 310, 737, 505, 834 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 310, 737, 505, 834. So, keep reading to learn more.
Given numbers are 310,737,505,834
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 310,737,505,834 is 9622470990.
Find LCM of 310,737,505,834 with Prime Factorization
2 | 310, 737, 505, 834 |
5 | 155, 737, 505, 417 |
31, 737, 101, 417 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 31 x 737 x 101 x 417 = 9622470990
Therefore, the lowest common multiple of 310,737,505,834 is 9622470990.
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.
310 x 737 x 505 x 834 = 96224709900
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.
310 : 1, 2, 5, 10, 31, 62, 155, 310
737 : 1, 11, 67, 737
505 : 1, 5, 101, 505
834 : 1, 2, 3, 6, 139, 278, 417, 834
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,737,505,834, is 1.
Now, the common factors can be found like this.
310:2x 5x 31
737:11x 67
505:5x 101
834:2x 3x 139
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5 = 10
Therefore, the value for common factors is 10.
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 = 96224709900/(1x10)
LCM = 96224709900/10
LCM = 9622470990
Thus, we can understand that the LCM of 310,737,505,834 is 9622470990.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 310, 737, 505, 834?
Answer: LCM of 310, 737, 505, 834 is 9622470990.
2. How to calculate the LCM of 310, 737, 505, 834?
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 310, 737, 505, 834.
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}.