Find the LCM of 263, 341, 752, 517 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 263, 341, 752, 517. So, keep reading to learn more.
Given numbers are 263,341,752,517
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 263,341,752,517 is 67441616.
Find LCM of 263,341,752,517 with Prime Factorization
11 | 263, 341, 752, 517 |
47 | 263, 31, 752, 47 |
263, 31, 16, 1 |
Multiply the prime numbers at the bottom and the left side.
11 x 47 x 263 x 31 x 16 x 1 = 67441616
Therefore, the lowest common multiple of 263,341,752,517 is 67441616.
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.
263 x 341 x 752 x 517 = 34867315472
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.
263 : 1, 263
341 : 1, 11, 31, 341
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
517 : 1, 11, 47, 517
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 263,341,752,517, is 1.
Now, the common factors can be found like this.
263:263
341:11x 31
752:2x 2x 2x 2x 47
517:11x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 47 = 517
Therefore, the value for common factors is 517.
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 = 34867315472/(1x517)
LCM = 34867315472/517
LCM = 67441616
Thus, we can understand that the LCM of 263,341,752,517 is 67441616.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 263, 341, 752, 517?
Answer: LCM of 263, 341, 752, 517 is 67441616.
2. How to calculate the LCM of 263, 341, 752, 517?
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 263, 341, 752, 517.
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}.