Find the LCM of 942, 992, 323, 962, 457 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 942, 992, 323, 962, 457. So, keep reading to learn more.
Given numbers are 942,992,323,962,457
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 942,992,323,962,457 is 33173888303712.
Find LCM of 942,992,323,962,457 with Prime Factorization
2 | 942, 992, 323, 962, 457 |
471, 496, 323, 481, 457 |
Multiply the prime numbers at the bottom and the left side.
2 x 471 x 496 x 323 x 481 x 457 = 33173888303712
Therefore, the lowest common multiple of 942,992,323,962,457 is 33173888303712.
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.
942 x 992 x 323 x 962 x 457 = 132695553214848
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.
942 : 1, 2, 3, 6, 157, 314, 471, 942
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
323 : 1, 17, 19, 323
962 : 1, 2, 13, 26, 37, 74, 481, 962
457 : 1, 457
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 942,992,323,962,457, is 1.
Now, the common factors can be found like this.
942:2x 3x 157
992:2x 2x 2x 2x 2x 31
323:17x 19
962:2x 13x 37
457:457
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 132695553214848/(1x4)
LCM = 132695553214848/4
LCM = 33173888303712
Thus, we can understand that the LCM of 942,992,323,962,457 is 33173888303712.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 942, 992, 323, 962, 457?
Answer: LCM of 942, 992, 323, 962, 457 is 33173888303712.
2. How to calculate the LCM of 942, 992, 323, 962, 457?
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 942, 992, 323, 962, 457.
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}.