Find the LCM of 913, 208, 988, 376 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 913, 208, 988, 376. So, keep reading to learn more.
Given numbers are 913,208,988,376
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 913,208,988,376 is 169584272.
Find LCM of 913,208,988,376 with Prime Factorization
2 | 913, 208, 988, 376 |
2 | 913, 104, 494, 188 |
2 | 913, 52, 247, 94 |
13 | 913, 26, 247, 47 |
913, 2, 19, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 913 x 2 x 19 x 47 = 169584272
Therefore, the lowest common multiple of 913,208,988,376 is 169584272.
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.
913 x 208 x 988 x 376 = 70547057152
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.
913 : 1, 11, 83, 913
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
376 : 1, 2, 4, 8, 47, 94, 188, 376
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 913,208,988,376, is 1.
Now, the common factors can be found like this.
913:11x 83
208:2x 2x 2x 2x 13
988:2x 2x 13x 19
376:2x 2x 2x 47
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 13 = 416
Therefore, the value for common factors is 416.
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 = 70547057152/(1x416)
LCM = 70547057152/416
LCM = 169584272
Thus, we can understand that the LCM of 913,208,988,376 is 169584272.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 913, 208, 988, 376?
Answer: LCM of 913, 208, 988, 376 is 169584272.
2. How to calculate the LCM of 913, 208, 988, 376?
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 913, 208, 988, 376.
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}.