Find the LCM of 605, 741, 315, 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 605, 741, 315, 367. So, keep reading to learn more.
Given numbers are 605,741,315,367
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 605,741,315,367 is 3455086635.
Find LCM of 605,741,315,367 with Prime Factorization
3 | 605, 741, 315, 367 |
5 | 605, 247, 105, 367 |
121, 247, 21, 367 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 121 x 247 x 21 x 367 = 3455086635
Therefore, the lowest common multiple of 605,741,315,367 is 3455086635.
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.
605 x 741 x 315 x 367 = 51826299525
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.
605 : 1, 5, 11, 55, 121, 605
741 : 1, 3, 13, 19, 39, 57, 247, 741
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
367 : 1, 367
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 605,741,315,367, is 1.
Now, the common factors can be found like this.
605:5x 11x 11
741:3x 13x 19
315:3x 3x 5x 7
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.
3x 5 = 15
Therefore, the value for common factors is 15.
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 = 51826299525/(1x15)
LCM = 51826299525/15
LCM = 3455086635
Thus, we can understand that the LCM of 605,741,315,367 is 3455086635.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 605, 741, 315, 367?
Answer: LCM of 605, 741, 315, 367 is 3455086635.
2. How to calculate the LCM of 605, 741, 315, 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 605, 741, 315, 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}.