Find the LCM of 355, 541, 497, 367, 367 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 355, 541, 497, 367, 367. So, keep reading to learn more.
Given numbers are 355,541,497,367,367
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 355,541,497,367,367 is 493389295.
Find LCM of 355,541,497,367,367 with Prime Factorization
71 | 355, 541, 497, 367, 367 |
367 | 5, 541, 7, 367, 367 |
5, 541, 7, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
71 x 367 x 5 x 541 x 7 x 1 x 1 = 493389295
Therefore, the lowest common multiple of 355,541,497,367,367 is 493389295.
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.
355 x 541 x 497 x 367 x 367 = 12856244859815
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.
355 : 1, 5, 71, 355
541 : 1, 541
497 : 1, 7, 71, 497
367 : 1, 367
367 : 1, 367
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 355,541,497,367,367, is 1.
Now, the common factors can be found like this.
355:5x 71
541:541
497:7x 71
367:367
367:367
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
71x 367 = 26057
Therefore, the value for common factors is 26057.
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 = 12856244859815/(1x26057)
LCM = 12856244859815/26057
LCM = 493389295
Thus, we can understand that the LCM of 355,541,497,367,367 is 493389295.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 355, 541, 497, 367, 367?
Answer: LCM of 355, 541, 497, 367, 367 is 493389295.
2. How to calculate the LCM of 355, 541, 497, 367, 367?
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 355, 541, 497, 367, 367.
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}.