LCM of 412, 554, 880, 968
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 412, 554, 880, 968 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 412, 554, 880, 968. So, keep reading to learn more.
Given numbers are 412,554,880,968
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 412,554,880,968 is 276180080.
Find LCM of 412,554,880,968 with Prime Factorization
| 2 | 412, 554, 880, 968 |
| 2 | 206, 277, 440, 484 |
| 2 | 103, 277, 220, 242 |
| 11 | 103, 277, 110, 121 |
| 103, 277, 10, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 103 x 277 x 10 x 11 = 276180080
Therefore, the lowest common multiple of 412,554,880,968 is 276180080.
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.
412 x 554 x 880 x 968 = 194430776320
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.
412 : 1, 2, 4, 103, 206, 412
554 : 1, 2, 277, 554
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 412,554,880,968, is 2.
Now, the common factors can be found like this.
412:2x 2x 103
554:2x 277
880:2x 2x 2x 2x 5x 11
968:2x 2x 2x 11x 11
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 11 = 352
Therefore, the value for common factors is 352.
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 = 194430776320/(2x352)
LCM = 194430776320/704
LCM = 276180080
Thus, we can understand that the LCM of 412,554,880,968 is 276180080.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 412, 554, 880, 968
1. What is the LCM of 412, 554, 880, 968?
Answer: LCM of 412, 554, 880, 968 is 276180080.
2. How to calculate the LCM of 412, 554, 880, 968?
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 412, 554, 880, 968.
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}.