Find the LCM of 794, 363, 168, 202, 502 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 794, 363, 168, 202, 502. So, keep reading to learn more.
Given numbers are 794,363,168,202,502
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 794,363,168,202,502 is 204588045816.
Find LCM of 794,363,168,202,502 with Prime Factorization
2 | 794, 363, 168, 202, 502 |
3 | 397, 363, 84, 101, 251 |
397, 121, 28, 101, 251 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 397 x 121 x 28 x 101 x 251 = 204588045816
Therefore, the lowest common multiple of 794,363,168,202,502 is 204588045816.
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.
794 x 363 x 168 x 202 x 502 = 4910113099584
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.
794 : 1, 2, 397, 794
363 : 1, 3, 11, 33, 121, 363
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
202 : 1, 2, 101, 202
502 : 1, 2, 251, 502
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 794,363,168,202,502, is 1.
Now, the common factors can be found like this.
794:2x 397
363:3x 11x 11
168:2x 2x 2x 3x 7
202:2x 101
502:2x 251
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3 = 24
Therefore, the value for common factors is 24.
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 = 4910113099584/(1x24)
LCM = 4910113099584/24
LCM = 204588045816
Thus, we can understand that the LCM of 794,363,168,202,502 is 204588045816.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 794, 363, 168, 202, 502?
Answer: LCM of 794, 363, 168, 202, 502 is 204588045816.
2. How to calculate the LCM of 794, 363, 168, 202, 502?
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 794, 363, 168, 202, 502.
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}.