LCM of 657, 211, 904, 791, 400
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 657, 211, 904, 791, 400 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 657, 211, 904, 791, 400. So, keep reading to learn more.
Given numbers are 657,211,904,791,400
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 657,211,904,791,400 is 43861582800.
Find LCM of 657,211,904,791,400 with Prime Factorization
| 2 | 657, 211, 904, 791, 400 |
| 2 | 657, 211, 452, 791, 200 |
| 2 | 657, 211, 226, 791, 100 |
| 113 | 657, 211, 113, 791, 50 |
| 657, 211, 1, 7, 50 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 113 x 657 x 211 x 1 x 7 x 50 = 43861582800
Therefore, the lowest common multiple of 657,211,904,791,400 is 43861582800.
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.
657 x 211 x 904 x 791 x 400 = 39650870851200
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.
657 : 1, 3, 9, 73, 219, 657
211 : 1, 211
904 : 1, 2, 4, 8, 113, 226, 452, 904
791 : 1, 7, 113, 791
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 657,211,904,791,400, is 1.
Now, the common factors can be found like this.
657:3x 3x 73
211:211
904:2x 2x 2x 113
791:7x 113
400:2x 2x 2x 2x 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 113 = 904
Therefore, the value for common factors is 904.
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 = 39650870851200/(1x904)
LCM = 39650870851200/904
LCM = 43861582800
Thus, we can understand that the LCM of 657,211,904,791,400 is 43861582800.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 657, 211, 904, 791, 400
1. What is the LCM of 657, 211, 904, 791, 400?
Answer: LCM of 657, 211, 904, 791, 400 is 43861582800.
2. How to calculate the LCM of 657, 211, 904, 791, 400?
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 657, 211, 904, 791, 400.
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}.