Find the LCM of 944, 996, 930, 273, 708 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 944, 996, 930, 273, 708. So, keep reading to learn more.
Given numbers are 944,996,930,273,708
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 944,996,930,273,708 is 3315464880.
Find LCM of 944,996,930,273,708 with Prime Factorization
2 | 944, 996, 930, 273, 708 |
2 | 472, 498, 465, 273, 354 |
3 | 236, 249, 465, 273, 177 |
59 | 236, 83, 155, 91, 59 |
4, 83, 155, 91, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 59 x 4 x 83 x 155 x 91 x 1 = 3315464880
Therefore, the lowest common multiple of 944,996,930,273,708 is 3315464880.
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.
944 x 996 x 930 x 273 x 708 = 169009137722880
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.
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
273 : 1, 3, 7, 13, 21, 39, 91, 273
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 944,996,930,273,708, is 1.
Now, the common factors can be found like this.
944:2x 2x 2x 2x 59
996:2x 2x 3x 83
930:2x 3x 5x 31
273:3x 7x 13
708:2x 2x 3x 59
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 2x 3x 3x 3x 59 = 50976
Therefore, the value for common factors is 50976.
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 = 169009137722880/(1x50976)
LCM = 169009137722880/50976
LCM = 3315464880
Thus, we can understand that the LCM of 944,996,930,273,708 is 3315464880.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 944, 996, 930, 273, 708?
Answer: LCM of 944, 996, 930, 273, 708 is 3315464880.
2. How to calculate the LCM of 944, 996, 930, 273, 708?
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 944, 996, 930, 273, 708.
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}.