Find the LCM of 241, 155, 398, 826 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 241, 155, 398, 826. So, keep reading to learn more.
Given numbers are 241,155,398,826
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 241,155,398,826 is 6140190770.
Find LCM of 241,155,398,826 with Prime Factorization
2 | 241, 155, 398, 826 |
241, 155, 199, 413 |
Multiply the prime numbers at the bottom and the left side.
2 x 241 x 155 x 199 x 413 = 6140190770
Therefore, the lowest common multiple of 241,155,398,826 is 6140190770.
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.
241 x 155 x 398 x 826 = 12280381540
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.
241 : 1, 241
155 : 1, 5, 31, 155
398 : 1, 2, 199, 398
826 : 1, 2, 7, 14, 59, 118, 413, 826
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 241,155,398,826, is 1.
Now, the common factors can be found like this.
241:241
155:5x 31
398:2x 199
826:2x 7x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 12280381540/(1x2)
LCM = 12280381540/2
LCM = 6140190770
Thus, we can understand that the LCM of 241,155,398,826 is 6140190770.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 241, 155, 398, 826?
Answer: LCM of 241, 155, 398, 826 is 6140190770.
2. How to calculate the LCM of 241, 155, 398, 826?
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 241, 155, 398, 826.
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}.