Find the LCM of 312, 737, 696, 899, 938 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 312, 737, 696, 899, 938. So, keep reading to learn more.
Given numbers are 312,737,696,899,938
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 312,737,696,899,938 is 1447037592.
Find LCM of 312,737,696,899,938 with Prime Factorization
2 | 312, 737, 696, 899, 938 |
2 | 156, 737, 348, 899, 469 |
2 | 78, 737, 174, 899, 469 |
3 | 39, 737, 87, 899, 469 |
29 | 13, 737, 29, 899, 469 |
67 | 13, 737, 1, 31, 469 |
13, 11, 1, 31, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 29 x 67 x 13 x 11 x 1 x 31 x 7 = 1447037592
Therefore, the lowest common multiple of 312,737,696,899,938 is 1447037592.
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.
312 x 737 x 696 x 899 x 938 = 134956513980288
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.
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
737 : 1, 11, 67, 737
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
899 : 1, 29, 31, 899
938 : 1, 2, 7, 14, 67, 134, 469, 938
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,737,696,899,938, is 1.
Now, the common factors can be found like this.
312:2x 2x 2x 3x 13
737:11x 67
696:2x 2x 2x 3x 29
899:29x 31
938:2x 7x 67
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 3x 29x 67 = 93264
Therefore, the value for common factors is 93264.
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 = 134956513980288/(1x93264)
LCM = 134956513980288/93264
LCM = 1447037592
Thus, we can understand that the LCM of 312,737,696,899,938 is 1447037592.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 312, 737, 696, 899, 938?
Answer: LCM of 312, 737, 696, 899, 938 is 1447037592.
2. How to calculate the LCM of 312, 737, 696, 899, 938?
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 312, 737, 696, 899, 938.
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}.