Find the LCM of 987, 561, 319, 527 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 987, 561, 319, 527. So, keep reading to learn more.
Given numbers are 987,561,319,527
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 987,561,319,527 is 165927531.
Find LCM of 987,561,319,527 with Prime Factorization
3 | 987, 561, 319, 527 |
11 | 329, 187, 319, 527 |
17 | 329, 17, 29, 527 |
329, 1, 29, 31 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 17 x 329 x 1 x 29 x 31 = 165927531
Therefore, the lowest common multiple of 987,561,319,527 is 165927531.
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.
987 x 561 x 319 x 527 = 93085344891
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.
987 : 1, 3, 7, 21, 47, 141, 329, 987
561 : 1, 3, 11, 17, 33, 51, 187, 561
319 : 1, 11, 29, 319
527 : 1, 17, 31, 527
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 987,561,319,527, is 1.
Now, the common factors can be found like this.
987:3x 7x 47
561:3x 11x 17
319:11x 29
527:17x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11x 17 = 561
Therefore, the value for common factors is 561.
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 = 93085344891/(1x561)
LCM = 93085344891/561
LCM = 165927531
Thus, we can understand that the LCM of 987,561,319,527 is 165927531.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 987, 561, 319, 527?
Answer: LCM of 987, 561, 319, 527 is 165927531.
2. How to calculate the LCM of 987, 561, 319, 527?
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 987, 561, 319, 527.
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}.