Find the LCM of 561, 676, 414, 231, 260 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 561, 676, 414, 231, 260. So, keep reading to learn more.
Given numbers are 561,676,414,231,260
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,676,414,231,260 is 915854940.
Find LCM of 561,676,414,231,260 with Prime Factorization
2 | 561, 676, 414, 231, 260 |
2 | 561, 338, 207, 231, 130 |
3 | 561, 169, 207, 231, 65 |
11 | 187, 169, 69, 77, 65 |
13 | 17, 169, 69, 7, 65 |
17, 13, 69, 7, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 13 x 17 x 13 x 69 x 7 x 5 = 915854940
Therefore, the lowest common multiple of 561,676,414,231,260 is 915854940.
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.
561 x 676 x 414 x 231 x 260 = 9429642462240
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.
561 : 1, 3, 11, 17, 33, 51, 187, 561
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
231 : 1, 3, 7, 11, 21, 33, 77, 231
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,676,414,231,260, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
676:2x 2x 13x 13
414:2x 3x 3x 23
231:3x 7x 11
260:2x 2x 5x 13
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 11x 13 = 10296
Therefore, the value for common factors is 10296.
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 = 9429642462240/(1x10296)
LCM = 9429642462240/10296
LCM = 915854940
Thus, we can understand that the LCM of 561,676,414,231,260 is 915854940.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 561, 676, 414, 231, 260?
Answer: LCM of 561, 676, 414, 231, 260 is 915854940.
2. How to calculate the LCM of 561, 676, 414, 231, 260?
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 561, 676, 414, 231, 260.
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}.