Find the LCM of 435, 285, 367, 551, 313 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 435, 285, 367, 551, 313. So, keep reading to learn more.
Given numbers are 435,285,367,551,313
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 435,285,367,551,313 is 949408815.
Find LCM of 435,285,367,551,313 with Prime Factorization
3 | 435, 285, 367, 551, 313 |
5 | 145, 95, 367, 551, 313 |
19 | 29, 19, 367, 551, 313 |
29 | 29, 1, 367, 29, 313 |
1, 1, 367, 1, 313 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 19 x 29 x 1 x 1 x 367 x 1 x 313 = 949408815
Therefore, the lowest common multiple of 435,285,367,551,313 is 949408815.
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.
435 x 285 x 367 x 551 x 313 = 7846863855975
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.
435 : 1, 3, 5, 15, 29, 87, 145, 435
285 : 1, 3, 5, 15, 19, 57, 95, 285
367 : 1, 367
551 : 1, 19, 29, 551
313 : 1, 313
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 435,285,367,551,313, is 1.
Now, the common factors can be found like this.
435:3x 5x 29
285:3x 5x 19
367:367
551:19x 29
313:313
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 19x 29 = 8265
Therefore, the value for common factors is 8265.
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 = 7846863855975/(1x8265)
LCM = 7846863855975/8265
LCM = 949408815
Thus, we can understand that the LCM of 435,285,367,551,313 is 949408815.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 435, 285, 367, 551, 313?
Answer: LCM of 435, 285, 367, 551, 313 is 949408815.
2. How to calculate the LCM of 435, 285, 367, 551, 313?
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 435, 285, 367, 551, 313.
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}.