Find the LCM of 352, 928, 932, 573, 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 352, 928, 932, 573, 979. So, keep reading to learn more.
Given numbers are 352,928,932,573,979
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 352,928,932,573,979 is 121294528608.
Find LCM of 352,928,932,573,979 with Prime Factorization
2 | 352, 928, 932, 573, 979 |
2 | 176, 464, 466, 573, 979 |
2 | 88, 232, 233, 573, 979 |
2 | 44, 116, 233, 573, 979 |
2 | 22, 58, 233, 573, 979 |
11 | 11, 29, 233, 573, 979 |
1, 29, 233, 573, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 11 x 1 x 29 x 233 x 573 x 89 = 121294528608
Therefore, the lowest common multiple of 352,928,932,573,979 is 121294528608.
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.
352 x 928 x 932 x 573 x 979 = 170782696280064
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.
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
932 : 1, 2, 4, 233, 466, 932
573 : 1, 3, 191, 573
979 : 1, 11, 89, 979
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 352,928,932,573,979, is 1.
Now, the common factors can be found like this.
352:2x 2x 2x 2x 2x 11
928:2x 2x 2x 2x 2x 29
932:2x 2x 233
573:3x 191
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.
2x 2x 2x 2x 2x 2x 2x 11 = 1408
Therefore, the value for common factors is 1408.
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 = 170782696280064/(1x1408)
LCM = 170782696280064/1408
LCM = 121294528608
Thus, we can understand that the LCM of 352,928,932,573,979 is 121294528608.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 352, 928, 932, 573, 979?
Answer: LCM of 352, 928, 932, 573, 979 is 121294528608.
2. How to calculate the LCM of 352, 928, 932, 573, 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 352, 928, 932, 573, 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}.