Find the LCM of 533, 876, 511, 249, 461 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 533, 876, 511, 249, 461. So, keep reading to learn more.
Given numbers are 533,876,511,249,461
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 533,876,511,249,461 is 125057105628.
Find LCM of 533,876,511,249,461 with Prime Factorization
3 | 533, 876, 511, 249, 461 |
73 | 533, 292, 511, 83, 461 |
533, 4, 7, 83, 461 |
Multiply the prime numbers at the bottom and the left side.
3 x 73 x 533 x 4 x 7 x 83 x 461 = 125057105628
Therefore, the lowest common multiple of 533,876,511,249,461 is 125057105628.
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.
533 x 876 x 511 x 249 x 461 = 27387506132532
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.
533 : 1, 13, 41, 533
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
511 : 1, 7, 73, 511
249 : 1, 3, 83, 249
461 : 1, 461
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 533,876,511,249,461, is 1.
Now, the common factors can be found like this.
533:13x 41
876:2x 2x 3x 73
511:7x 73
249:3x 83
461:461
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 73 = 219
Therefore, the value for common factors is 219.
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 = 27387506132532/(1x219)
LCM = 27387506132532/219
LCM = 125057105628
Thus, we can understand that the LCM of 533,876,511,249,461 is 125057105628.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 533, 876, 511, 249, 461?
Answer: LCM of 533, 876, 511, 249, 461 is 125057105628.
2. How to calculate the LCM of 533, 876, 511, 249, 461?
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 533, 876, 511, 249, 461.
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}.