Find the LCM of 553, 297, 989, 704, 979 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 553, 297, 989, 704, 979. So, keep reading to learn more.
Given numbers are 553,297,989,704,979
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 553,297,989,704,979 is 925226051904.
Find LCM of 553,297,989,704,979 with Prime Factorization
11 | 553, 297, 989, 704, 979 |
553, 27, 989, 64, 89 |
Multiply the prime numbers at the bottom and the left side.
11 x 553 x 27 x 989 x 64 x 89 = 925226051904
Therefore, the lowest common multiple of 553,297,989,704,979 is 925226051904.
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.
553 x 297 x 989 x 704 x 979 = 111952352280384
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.
553 : 1, 7, 79, 553
297 : 1, 3, 9, 11, 27, 33, 99, 297
989 : 1, 23, 43, 989
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
979 : 1, 11, 89, 979
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 553,297,989,704,979, is 1.
Now, the common factors can be found like this.
553:7x 79
297:3x 3x 3x 11
989:23x 43
704:2x 2x 2x 2x 2x 2x 11
979:11x 89
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 11 = 121
Therefore, the value for common factors is 121.
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 = 111952352280384/(1x121)
LCM = 111952352280384/121
LCM = 925226051904
Thus, we can understand that the LCM of 553,297,989,704,979 is 925226051904.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 553, 297, 989, 704, 979?
Answer: LCM of 553, 297, 989, 704, 979 is 925226051904.
2. How to calculate the LCM of 553, 297, 989, 704, 979?
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 553, 297, 989, 704, 979.
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}.