Find the LCM of 513, 427, 854, 683, 581 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 513, 427, 854, 683, 581. So, keep reading to learn more.
Given numbers are 513,427,854,683,581
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,427,854,683,581 is 24835564278.
Find LCM of 513,427,854,683,581 with Prime Factorization
7 | 513, 427, 854, 683, 581 |
61 | 513, 61, 122, 683, 83 |
513, 1, 2, 683, 83 |
Multiply the prime numbers at the bottom and the left side.
7 x 61 x 513 x 1 x 2 x 683 x 83 = 24835564278
Therefore, the lowest common multiple of 513,427,854,683,581 is 24835564278.
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.
513 x 427 x 854 x 683 x 581 = 74233501626942
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.
513 : 1, 3, 9, 19, 27, 57, 171, 513
427 : 1, 7, 61, 427
854 : 1, 2, 7, 14, 61, 122, 427, 854
683 : 1, 683
581 : 1, 7, 83, 581
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,427,854,683,581, is 1.
Now, the common factors can be found like this.
513:3x 3x 3x 19
427:7x 61
854:2x 7x 61
683:683
581:7x 83
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 7x 61 = 2989
Therefore, the value for common factors is 2989.
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 = 74233501626942/(1x2989)
LCM = 74233501626942/2989
LCM = 24835564278
Thus, we can understand that the LCM of 513,427,854,683,581 is 24835564278.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 513, 427, 854, 683, 581?
Answer: LCM of 513, 427, 854, 683, 581 is 24835564278.
2. How to calculate the LCM of 513, 427, 854, 683, 581?
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 513, 427, 854, 683, 581.
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}.