Find the LCM of 796, 196, 398, 815, 552 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 796, 196, 398, 815, 552. So, keep reading to learn more.
Given numbers are 796,196,398,815,552
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 796,196,398,815,552 is 4386779880.
Find LCM of 796,196,398,815,552 with Prime Factorization
2 | 796, 196, 398, 815, 552 |
2 | 398, 98, 199, 815, 276 |
199 | 199, 49, 199, 815, 138 |
1, 49, 1, 815, 138 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 199 x 1 x 49 x 1 x 815 x 138 = 4386779880
Therefore, the lowest common multiple of 796,196,398,815,552 is 4386779880.
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.
796 x 196 x 398 x 815 x 552 = 27935014275840
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.
796 : 1, 2, 4, 199, 398, 796
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
398 : 1, 2, 199, 398
815 : 1, 5, 163, 815
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 796,196,398,815,552, is 1.
Now, the common factors can be found like this.
796:2x 2x 199
196:2x 2x 7x 7
398:2x 199
815:5x 163
552:2x 2x 2x 3x 23
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 2x 2x 199 = 6368
Therefore, the value for common factors is 6368.
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 = 27935014275840/(1x6368)
LCM = 27935014275840/6368
LCM = 4386779880
Thus, we can understand that the LCM of 796,196,398,815,552 is 4386779880.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 796, 196, 398, 815, 552?
Answer: LCM of 796, 196, 398, 815, 552 is 4386779880.
2. How to calculate the LCM of 796, 196, 398, 815, 552?
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 796, 196, 398, 815, 552.
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}.