Find the LCM of 507, 995, 556, 398, 364 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 507, 995, 556, 398, 364. So, keep reading to learn more.
Given numbers are 507,995,556,398,364
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 507,995,556,398,364 is 1963377780.
Find LCM of 507,995,556,398,364 with Prime Factorization
2 | 507, 995, 556, 398, 364 |
2 | 507, 995, 278, 199, 182 |
13 | 507, 995, 139, 199, 91 |
199 | 39, 995, 139, 199, 7 |
39, 5, 139, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 199 x 39 x 5 x 139 x 1 x 7 = 1963377780
Therefore, the lowest common multiple of 507,995,556,398,364 is 1963377780.
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.
507 x 995 x 556 x 398 x 364 = 40634066534880
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.
507 : 1, 3, 13, 39, 169, 507
995 : 1, 5, 199, 995
556 : 1, 2, 4, 139, 278, 556
398 : 1, 2, 199, 398
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,995,556,398,364, is 1.
Now, the common factors can be found like this.
507:3x 13x 13
995:5x 199
556:2x 2x 139
398:2x 199
364:2x 2x 7x 13
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 13x 199 = 20696
Therefore, the value for common factors is 20696.
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 = 40634066534880/(1x20696)
LCM = 40634066534880/20696
LCM = 1963377780
Thus, we can understand that the LCM of 507,995,556,398,364 is 1963377780.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 507, 995, 556, 398, 364?
Answer: LCM of 507, 995, 556, 398, 364 is 1963377780.
2. How to calculate the LCM of 507, 995, 556, 398, 364?
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 507, 995, 556, 398, 364.
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}.