Find the LCM of 988, 694, 424, 944, 728 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 988, 694, 424, 944, 728. So, keep reading to learn more.
Given numbers are 988,694,424,944,728
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 988,694,424,944,728 is 30017348816.
Find LCM of 988,694,424,944,728 with Prime Factorization
2 | 988, 694, 424, 944, 728 |
2 | 494, 347, 212, 472, 364 |
2 | 247, 347, 106, 236, 182 |
13 | 247, 347, 53, 118, 91 |
19, 347, 53, 118, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 19 x 347 x 53 x 118 x 7 = 30017348816
Therefore, the lowest common multiple of 988,694,424,944,728 is 30017348816.
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.
988 x 694 x 424 x 944 x 728 = 199795473719296
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.
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
694 : 1, 2, 347, 694
424 : 1, 2, 4, 8, 53, 106, 212, 424
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,694,424,944,728, is 2.
Now, the common factors can be found like this.
988:2x 2x 13x 19
694:2x 347
424:2x 2x 2x 53
944:2x 2x 2x 2x 59
728:2x 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 2x 2x 2x 2x 2x 13 = 3328
Therefore, the value for common factors is 3328.
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 = 199795473719296/(2x3328)
LCM = 199795473719296/6656
LCM = 30017348816
Thus, we can understand that the LCM of 988,694,424,944,728 is 30017348816.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 988, 694, 424, 944, 728?
Answer: LCM of 988, 694, 424, 944, 728 is 30017348816.
2. How to calculate the LCM of 988, 694, 424, 944, 728?
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 988, 694, 424, 944, 728.
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}.