Find the LCM of 121, 761, 507, 338, 408 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 121, 761, 507, 338, 408. So, keep reading to learn more.
Given numbers are 121,761,507,338,408
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 121,761,507,338,408 is 6349169112.
Find LCM of 121,761,507,338,408 with Prime Factorization
2 | 121, 761, 507, 338, 408 |
3 | 121, 761, 507, 169, 204 |
13 | 121, 761, 169, 169, 68 |
13 | 121, 761, 13, 13, 68 |
121, 761, 1, 1, 68 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 13 x 121 x 761 x 1 x 1 x 68 = 6349169112
Therefore, the lowest common multiple of 121,761,507,338,408 is 6349169112.
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.
121 x 761 x 507 x 338 x 408 = 6438057479568
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.
121 : 1, 11, 121
761 : 1, 761
507 : 1, 3, 13, 39, 169, 507
338 : 1, 2, 13, 26, 169, 338
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 121,761,507,338,408, is 1.
Now, the common factors can be found like this.
121:11x 11
761:761
507:3x 13x 13
338:2x 13x 13
408:2x 2x 2x 3x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 13x 13 = 1014
Therefore, the value for common factors is 1014.
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 = 6438057479568/(1x1014)
LCM = 6438057479568/1014
LCM = 6349169112
Thus, we can understand that the LCM of 121,761,507,338,408 is 6349169112.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 121, 761, 507, 338, 408?
Answer: LCM of 121, 761, 507, 338, 408 is 6349169112.
2. How to calculate the LCM of 121, 761, 507, 338, 408?
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 121, 761, 507, 338, 408.
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}.