Find the LCM of 431, 535, 371, 253, 275 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 431, 535, 371, 253, 275. So, keep reading to learn more.
Given numbers are 431,535,371,253,275
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 431,535,371,253,275 is 108216999275.
Find LCM of 431,535,371,253,275 with Prime Factorization
5 | 431, 535, 371, 253, 275 |
11 | 431, 107, 371, 253, 55 |
431, 107, 371, 23, 5 |
Multiply the prime numbers at the bottom and the left side.
5 x 11 x 431 x 107 x 371 x 23 x 5 = 108216999275
Therefore, the lowest common multiple of 431,535,371,253,275 is 108216999275.
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.
431 x 535 x 371 x 253 x 275 = 5951934960125
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.
431 : 1, 431
535 : 1, 5, 107, 535
371 : 1, 7, 53, 371
253 : 1, 11, 23, 253
275 : 1, 5, 11, 25, 55, 275
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 431,535,371,253,275, is 1.
Now, the common factors can be found like this.
431:431
535:5x 107
371:7x 53
253:11x 23
275:5x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 11 = 55
Therefore, the value for common factors is 55.
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 = 5951934960125/(1x55)
LCM = 5951934960125/55
LCM = 108216999275
Thus, we can understand that the LCM of 431,535,371,253,275 is 108216999275.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 431, 535, 371, 253, 275?
Answer: LCM of 431, 535, 371, 253, 275 is 108216999275.
2. How to calculate the LCM of 431, 535, 371, 253, 275?
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 431, 535, 371, 253, 275.
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}.