Find the LCM of 363, 710, 969, 414, 815 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 363, 710, 969, 414, 815. So, keep reading to learn more.
Given numbers are 363,710,969,414,815
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 363,710,969,414,815 is 936276647130.
Find LCM of 363,710,969,414,815 with Prime Factorization
2 | 363, 710, 969, 414, 815 |
3 | 363, 355, 969, 207, 815 |
5 | 121, 355, 323, 69, 815 |
121, 71, 323, 69, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 121 x 71 x 323 x 69 x 163 = 936276647130
Therefore, the lowest common multiple of 363,710,969,414,815 is 936276647130.
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.
363 x 710 x 969 x 414 x 815 = 84264898241700
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.
363 : 1, 3, 11, 33, 121, 363
710 : 1, 2, 5, 10, 71, 142, 355, 710
969 : 1, 3, 17, 19, 51, 57, 323, 969
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
815 : 1, 5, 163, 815
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,710,969,414,815, is 1.
Now, the common factors can be found like this.
363:3x 11x 11
710:2x 5x 71
969:3x 17x 19
414:2x 3x 3x 23
815:5x 163
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 3x 5 = 90
Therefore, the value for common factors is 90.
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 = 84264898241700/(1x90)
LCM = 84264898241700/90
LCM = 936276647130
Thus, we can understand that the LCM of 363,710,969,414,815 is 936276647130.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 363, 710, 969, 414, 815?
Answer: LCM of 363, 710, 969, 414, 815 is 936276647130.
2. How to calculate the LCM of 363, 710, 969, 414, 815?
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 363, 710, 969, 414, 815.
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}.