LCM of 556, 209, 972, 864
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 556, 209, 972, 864 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, 209, 972, 864. So, keep reading to learn more.
Given numbers are 556,209,972,864
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 556,209,972,864 is 225900576.
Find LCM of 556,209,972,864 with Prime Factorization
| 2 | 556, 209, 972, 864 |
| 2 | 278, 209, 486, 432 |
| 3 | 139, 209, 243, 216 |
| 3 | 139, 209, 81, 72 |
| 3 | 139, 209, 27, 24 |
| 139, 209, 9, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 139 x 209 x 9 x 8 = 225900576
Therefore, the lowest common multiple of 556,209,972,864 is 225900576.
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 209 x 972 x 864 = 97589048832
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
209 : 1, 11, 19, 209
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 556,209,972,864, is 1.
Now, the common factors can be found like this.
556:2x 2x 139
209:11x 19
972:2x 2x 3x 3x 3x 3x 3
864:2x 2x 2x 2x 2x 3x 3x 3
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 3x 3x 3 = 432
Therefore, the value for common factors is 432.
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 = 97589048832/(1x432)
LCM = 97589048832/432
LCM = 225900576
Thus, we can understand that the LCM of 556,209,972,864 is 225900576.
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FAQs on LCM of 556, 209, 972, 864
1. What is the LCM of 556, 209, 972, 864?
Answer: LCM of 556, 209, 972, 864 is 225900576.
2. How to calculate the LCM of 556, 209, 972, 864?
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, 209, 972, 864.
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}.