LCM of 875, 906, 693, 866, 649
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 875, 906, 693, 866, 649 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 875, 906, 693, 866, 649. So, keep reading to learn more.
Given numbers are 875,906,693,866,649
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 875,906,693,866,649 is 668328680250.
Find LCM of 875,906,693,866,649 with Prime Factorization
| 2 | 875, 906, 693, 866, 649 |
| 3 | 875, 453, 693, 433, 649 |
| 7 | 875, 151, 231, 433, 649 |
| 11 | 125, 151, 33, 433, 649 |
| 125, 151, 3, 433, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 125 x 151 x 3 x 433 x 59 = 668328680250
Therefore, the lowest common multiple of 875,906,693,866,649 is 668328680250.
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.
875 x 906 x 693 x 866 x 649 = 308767850275500
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.
875 : 1, 5, 7, 25, 35, 125, 175, 875
906 : 1, 2, 3, 6, 151, 302, 453, 906
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
866 : 1, 2, 433, 866
649 : 1, 11, 59, 649
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 875,906,693,866,649, is 1.
Now, the common factors can be found like this.
875:5x 5x 5x 7
906:2x 3x 151
693:3x 3x 7x 11
866:2x 433
649:11x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7x 11 = 462
Therefore, the value for common factors is 462.
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 = 308767850275500/(1x462)
LCM = 308767850275500/462
LCM = 668328680250
Thus, we can understand that the LCM of 875,906,693,866,649 is 668328680250.
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FAQs on LCM of 875, 906, 693, 866, 649
1. What is the LCM of 875, 906, 693, 866, 649?
Answer: LCM of 875, 906, 693, 866, 649 is 668328680250.
2. How to calculate the LCM of 875, 906, 693, 866, 649?
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 875, 906, 693, 866, 649.
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}.