Find the LCM of 472, 942, 369, 311 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 472, 942, 369, 311. So, keep reading to learn more.
Given numbers are 472,942,369,311
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 472,942,369,311 is 8504100936.
Find LCM of 472,942,369,311 with Prime Factorization
2 | 472, 942, 369, 311 |
3 | 236, 471, 369, 311 |
236, 157, 123, 311 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 236 x 157 x 123 x 311 = 8504100936
Therefore, the lowest common multiple of 472,942,369,311 is 8504100936.
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.
472 x 942 x 369 x 311 = 51024605616
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.
472 : 1, 2, 4, 8, 59, 118, 236, 472
942 : 1, 2, 3, 6, 157, 314, 471, 942
369 : 1, 3, 9, 41, 123, 369
311 : 1, 311
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 472,942,369,311, is 1.
Now, the common factors can be found like this.
472:2x 2x 2x 59
942:2x 3x 157
369:3x 3x 41
311:311
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 51024605616/(1x6)
LCM = 51024605616/6
LCM = 8504100936
Thus, we can understand that the LCM of 472,942,369,311 is 8504100936.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 472, 942, 369, 311?
Answer: LCM of 472, 942, 369, 311 is 8504100936.
2. How to calculate the LCM of 472, 942, 369, 311?
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 472, 942, 369, 311.
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}.