LCM of 556, 352, 748, 396, 600
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 556, 352, 748, 396, 600 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 556, 352, 748, 396, 600. So, keep reading to learn more.
Given numbers are 556,352,748,396,600
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 556,352,748,396,600 is 187149600.
Find LCM of 556,352,748,396,600 with Prime Factorization
| 2 | 556, 352, 748, 396, 600 |
| 2 | 278, 176, 374, 198, 300 |
| 2 | 139, 88, 187, 99, 150 |
| 3 | 139, 44, 187, 99, 75 |
| 11 | 139, 44, 187, 33, 25 |
| 139, 4, 17, 3, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 139 x 4 x 17 x 3 x 25 = 187149600
Therefore, the lowest common multiple of 556,352,748,396,600 is 187149600.
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.
556 x 352 x 748 x 396 x 600 = 34782876057600
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.
556 : 1, 2, 4, 139, 278, 556
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 556,352,748,396,600, is 4.
Now, the common factors can be found like this.
556:2x 2x 139
352:2x 2x 2x 2x 2x 11
748:2x 2x 11x 17
396:2x 2x 3x 3x 11
600:2x 2x 2x 3x 5x 5
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 3x 11x 11 = 46464
Therefore, the value for common factors is 46464.
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 = 34782876057600/(4x46464)
LCM = 34782876057600/185856
LCM = 187149600
Thus, we can understand that the LCM of 556,352,748,396,600 is 187149600.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 556, 352, 748, 396, 600
1. What is the LCM of 556, 352, 748, 396, 600?
Answer: LCM of 556, 352, 748, 396, 600 is 187149600.
2. How to calculate the LCM of 556, 352, 748, 396, 600?
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 556, 352, 748, 396, 600.
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}.