Find the LCM of 829, 907, 970, 907 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 829, 907, 970, 907. So, keep reading to learn more.
Given numbers are 829,907,970,907
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 829,907,970,907 is 729345910.
Find LCM of 829,907,970,907 with Prime Factorization
907 | 829, 907, 970, 907 |
829, 1, 970, 1 |
Multiply the prime numbers at the bottom and the left side.
907 x 829 x 1 x 970 x 1 = 729345910
Therefore, the lowest common multiple of 829,907,970,907 is 729345910.
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.
829 x 907 x 970 x 907 = 661516740370
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.
829 : 1, 829
907 : 1, 907
970 : 1, 2, 5, 10, 97, 194, 485, 970
907 : 1, 907
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 829,907,970,907, is 1.
Now, the common factors can be found like this.
829:829
907:907
970:2x 5x 97
907:907
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
907 = 907
Therefore, the value for common factors is 907.
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 = 661516740370/(1x907)
LCM = 661516740370/907
LCM = 729345910
Thus, we can understand that the LCM of 829,907,970,907 is 729345910.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 829, 907, 970, 907?
Answer: LCM of 829, 907, 970, 907 is 729345910.
2. How to calculate the LCM of 829, 907, 970, 907?
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 829, 907, 970, 907.
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}.