Find the LCM of 364, 887, 257, 507, 535 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 364, 887, 257, 507, 535. So, keep reading to learn more.
Given numbers are 364,887,257,507,535
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 364,887,257,507,535 is 1731316690740.
Find LCM of 364,887,257,507,535 with Prime Factorization
13 | 364, 887, 257, 507, 535 |
28, 887, 257, 39, 535 |
Multiply the prime numbers at the bottom and the left side.
13 x 28 x 887 x 257 x 39 x 535 = 1731316690740
Therefore, the lowest common multiple of 364,887,257,507,535 is 1731316690740.
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.
364 x 887 x 257 x 507 x 535 = 22507116979620
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.
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
887 : 1, 887
257 : 1, 257
507 : 1, 3, 13, 39, 169, 507
535 : 1, 5, 107, 535
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,887,257,507,535, is 1.
Now, the common factors can be found like this.
364:2x 2x 7x 13
887:887
257:257
507:3x 13x 13
535:5x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 22507116979620/(1x13)
LCM = 22507116979620/13
LCM = 1731316690740
Thus, we can understand that the LCM of 364,887,257,507,535 is 1731316690740.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 364, 887, 257, 507, 535?
Answer: LCM of 364, 887, 257, 507, 535 is 1731316690740.
2. How to calculate the LCM of 364, 887, 257, 507, 535?
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 364, 887, 257, 507, 535.
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}.