Find the LCM of 907, 786, 988, 806, 802 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 907, 786, 988, 806, 802. So, keep reading to learn more.
Given numbers are 907,786,988,806,802
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 907,786,988,806,802 is 4377869872428.
Find LCM of 907,786,988,806,802 with Prime Factorization
2 | 907, 786, 988, 806, 802 |
13 | 907, 393, 494, 403, 401 |
907, 393, 38, 31, 401 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 907 x 393 x 38 x 31 x 401 = 4377869872428
Therefore, the lowest common multiple of 907,786,988,806,802 is 4377869872428.
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.
907 x 786 x 988 x 806 x 802 = 455298466732512
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.
907 : 1, 907
786 : 1, 2, 3, 6, 131, 262, 393, 786
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
806 : 1, 2, 13, 26, 31, 62, 403, 806
802 : 1, 2, 401, 802
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 907,786,988,806,802, is 1.
Now, the common factors can be found like this.
907:907
786:2x 3x 131
988:2x 2x 13x 19
806:2x 13x 31
802:2x 401
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 13 = 104
Therefore, the value for common factors is 104.
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 = 455298466732512/(1x104)
LCM = 455298466732512/104
LCM = 4377869872428
Thus, we can understand that the LCM of 907,786,988,806,802 is 4377869872428.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 907, 786, 988, 806, 802?
Answer: LCM of 907, 786, 988, 806, 802 is 4377869872428.
2. How to calculate the LCM of 907, 786, 988, 806, 802?
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 907, 786, 988, 806, 802.
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}.