Find the LCM of 538, 297, 341, 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 538, 297, 341, 461. So, keep reading to learn more.
Given numbers are 538,297,341,461
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 538,297,341,461 is 2283501726.
Find LCM of 538,297,341,461 with Prime Factorization
11 | 538, 297, 341, 461 |
538, 27, 31, 461 |
Multiply the prime numbers at the bottom and the left side.
11 x 538 x 27 x 31 x 461 = 2283501726
Therefore, the lowest common multiple of 538,297,341,461 is 2283501726.
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.
538 x 297 x 341 x 461 = 25118518986
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.
538 : 1, 2, 269, 538
297 : 1, 3, 9, 11, 27, 33, 99, 297
341 : 1, 11, 31, 341
461 : 1, 461
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,297,341,461, is 1.
Now, the common factors can be found like this.
538:2x 269
297:3x 3x 3x 11
341:11x 31
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.
11 = 11
Therefore, the value for common factors is 11.
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 = 25118518986/(1x11)
LCM = 25118518986/11
LCM = 2283501726
Thus, we can understand that the LCM of 538,297,341,461 is 2283501726.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 538, 297, 341, 461?
Answer: LCM of 538, 297, 341, 461 is 2283501726.
2. How to calculate the LCM of 538, 297, 341, 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 538, 297, 341, 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}.