LCM of 556, 204, 446, 969
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 556, 204, 446, 969 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 556, 204, 446, 969. So, keep reading to learn more.
Given numbers are 556,204,446,969
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 556,204,446,969 is 120144372.
Find LCM of 556,204,446,969 with Prime Factorization
| 2 | 556, 204, 446, 969 |
| 2 | 278, 102, 223, 969 |
| 3 | 139, 51, 223, 969 |
| 17 | 139, 17, 223, 323 |
| 139, 1, 223, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 139 x 1 x 223 x 19 = 120144372
Therefore, the lowest common multiple of 556,204,446,969 is 120144372.
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.
556 x 204 x 446 x 969 = 49018903776
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.
556 : 1, 2, 4, 139, 278, 556
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
446 : 1, 2, 223, 446
969 : 1, 3, 17, 19, 51, 57, 323, 969
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 556,204,446,969, is 1.
Now, the common factors can be found like this.
556:2x 2x 139
204:2x 2x 3x 17
446:2x 223
969:3x 17x 19
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 3x 17 = 408
Therefore, the value for common factors is 408.
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 = 49018903776/(1x408)
LCM = 49018903776/408
LCM = 120144372
Thus, we can understand that the LCM of 556,204,446,969 is 120144372.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 556, 204, 446, 969
1. What is the LCM of 556, 204, 446, 969?
Answer: LCM of 556, 204, 446, 969 is 120144372.
2. How to calculate the LCM of 556, 204, 446, 969?
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 556, 204, 446, 969.
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}.