Find the LCM of 169, 741, 437, 415 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 169, 741, 437, 415. So, keep reading to learn more.
Given numbers are 169,741,437,415
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 169,741,437,415 is 91946985.
Find LCM of 169,741,437,415 with Prime Factorization
13 | 169, 741, 437, 415 |
19 | 13, 57, 437, 415 |
13, 3, 23, 415 |
Multiply the prime numbers at the bottom and the left side.
13 x 19 x 13 x 3 x 23 x 415 = 91946985
Therefore, the lowest common multiple of 169,741,437,415 is 91946985.
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.
169 x 741 x 437 x 415 = 22710905295
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.
169 : 1, 13, 169
741 : 1, 3, 13, 19, 39, 57, 247, 741
437 : 1, 19, 23, 437
415 : 1, 5, 83, 415
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,741,437,415, is 1.
Now, the common factors can be found like this.
169:13x 13
741:3x 13x 19
437:19x 23
415:5x 83
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 19 = 247
Therefore, the value for common factors is 247.
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 = 22710905295/(1x247)
LCM = 22710905295/247
LCM = 91946985
Thus, we can understand that the LCM of 169,741,437,415 is 91946985.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 169, 741, 437, 415?
Answer: LCM of 169, 741, 437, 415 is 91946985.
2. How to calculate the LCM of 169, 741, 437, 415?
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 169, 741, 437, 415.
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}.