Find the LCM of 927, 552, 504, 859, 439 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 927, 552, 504, 859, 439. So, keep reading to learn more.
Given numbers are 927,552,504,859,439
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 927,552,504,859,439 is 450249543576.
Find LCM of 927,552,504,859,439 with Prime Factorization
2 | 927, 552, 504, 859, 439 |
2 | 927, 276, 252, 859, 439 |
2 | 927, 138, 126, 859, 439 |
3 | 927, 69, 63, 859, 439 |
3 | 309, 23, 21, 859, 439 |
103, 23, 7, 859, 439 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 103 x 23 x 7 x 859 x 439 = 450249543576
Therefore, the lowest common multiple of 927,552,504,859,439 is 450249543576.
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.
927 x 552 x 504 x 859 x 439 = 97253901412416
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.
927 : 1, 3, 9, 103, 309, 927
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
859 : 1, 859
439 : 1, 439
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 927,552,504,859,439, is 1.
Now, the common factors can be found like this.
927:3x 3x 103
552:2x 2x 2x 3x 23
504:2x 2x 2x 3x 3x 7
859:859
439:439
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 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 97253901412416/(1x216)
LCM = 97253901412416/216
LCM = 450249543576
Thus, we can understand that the LCM of 927,552,504,859,439 is 450249543576.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 927, 552, 504, 859, 439?
Answer: LCM of 927, 552, 504, 859, 439 is 450249543576.
2. How to calculate the LCM of 927, 552, 504, 859, 439?
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 927, 552, 504, 859, 439.
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}.