Find the LCM of 529, 676, 845, 549 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 529, 676, 845, 549. So, keep reading to learn more.
Given numbers are 529,676,845,549
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 529,676,845,549 is 981622980.
Find LCM of 529,676,845,549 with Prime Factorization
13 | 529, 676, 845, 549 |
13 | 529, 52, 65, 549 |
529, 4, 5, 549 |
Multiply the prime numbers at the bottom and the left side.
13 x 13 x 529 x 4 x 5 x 549 = 981622980
Therefore, the lowest common multiple of 529,676,845,549 is 981622980.
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.
529 x 676 x 845 x 549 = 165894283620
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.
529 : 1, 23, 529
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
845 : 1, 5, 13, 65, 169, 845
549 : 1, 3, 9, 61, 183, 549
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 529,676,845,549, is 1.
Now, the common factors can be found like this.
529:23x 23
676:2x 2x 13x 13
845:5x 13x 13
549:3x 3x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 13 = 169
Therefore, the value for common factors is 169.
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 = 165894283620/(1x169)
LCM = 165894283620/169
LCM = 981622980
Thus, we can understand that the LCM of 529,676,845,549 is 981622980.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 529, 676, 845, 549?
Answer: LCM of 529, 676, 845, 549 is 981622980.
2. How to calculate the LCM of 529, 676, 845, 549?
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 529, 676, 845, 549.
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}.