Find the LCM of 847, 440, 633, 638, 869 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 847, 440, 633, 638, 869. So, keep reading to learn more.
Given numbers are 847,440,633,638,869
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 847,440,633,638,869 is 49132877640.
Find LCM of 847,440,633,638,869 with Prime Factorization
2 | 847, 440, 633, 638, 869 |
11 | 847, 220, 633, 319, 869 |
77, 20, 633, 29, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 77 x 20 x 633 x 29 x 79 = 49132877640
Therefore, the lowest common multiple of 847,440,633,638,869 is 49132877640.
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.
847 x 440 x 633 x 638 x 869 = 130791720277680
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.
847 : 1, 7, 11, 77, 121, 847
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
633 : 1, 3, 211, 633
638 : 1, 2, 11, 22, 29, 58, 319, 638
869 : 1, 11, 79, 869
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 847,440,633,638,869, is 1.
Now, the common factors can be found like this.
847:7x 11x 11
440:2x 2x 2x 5x 11
633:3x 211
638:2x 11x 29
869:11x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 11x 11 = 2662
Therefore, the value for common factors is 2662.
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 = 130791720277680/(1x2662)
LCM = 130791720277680/2662
LCM = 49132877640
Thus, we can understand that the LCM of 847,440,633,638,869 is 49132877640.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 847, 440, 633, 638, 869?
Answer: LCM of 847, 440, 633, 638, 869 is 49132877640.
2. How to calculate the LCM of 847, 440, 633, 638, 869?
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 847, 440, 633, 638, 869.
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}.