Find the LCM of 276, 960, 342, 608, 991 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 276, 960, 342, 608, 991. So, keep reading to learn more.
Given numbers are 276,960,342,608,991
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 276,960,342,608,991 is 1247232960.
Find LCM of 276,960,342,608,991 with Prime Factorization
2 | 276, 960, 342, 608, 991 |
2 | 138, 480, 171, 304, 991 |
2 | 69, 240, 171, 152, 991 |
2 | 69, 120, 171, 76, 991 |
2 | 69, 60, 171, 38, 991 |
3 | 69, 30, 171, 19, 991 |
19 | 23, 10, 57, 19, 991 |
23, 10, 3, 1, 991 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 19 x 23 x 10 x 3 x 1 x 991 = 1247232960
Therefore, the lowest common multiple of 276,960,342,608,991 is 1247232960.
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.
276 x 960 x 342 x 608 x 991 = 54598870056960
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.
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
991 : 1, 991
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 276,960,342,608,991, is 1.
Now, the common factors can be found like this.
276:2x 2x 3x 23
960:2x 2x 2x 2x 2x 2x 3x 5
342:2x 3x 3x 19
608:2x 2x 2x 2x 2x 19
991:991
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 2x 2x 2x 3x 3x 19 = 43776
Therefore, the value for common factors is 43776.
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 = 54598870056960/(1x43776)
LCM = 54598870056960/43776
LCM = 1247232960
Thus, we can understand that the LCM of 276,960,342,608,991 is 1247232960.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 276, 960, 342, 608, 991?
Answer: LCM of 276, 960, 342, 608, 991 is 1247232960.
2. How to calculate the LCM of 276, 960, 342, 608, 991?
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 276, 960, 342, 608, 991.
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}.