Find the LCM of 773, 715, 738, 689 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 773, 715, 738, 689. So, keep reading to learn more.
Given numbers are 773,715,738,689
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 773,715,738,689 is 21618112230.
Find LCM of 773,715,738,689 with Prime Factorization
13 | 773, 715, 738, 689 |
773, 55, 738, 53 |
Multiply the prime numbers at the bottom and the left side.
13 x 773 x 55 x 738 x 53 = 21618112230
Therefore, the lowest common multiple of 773,715,738,689 is 21618112230.
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.
773 x 715 x 738 x 689 = 281035458990
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.
773 : 1, 773
715 : 1, 5, 11, 13, 55, 65, 143, 715
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
689 : 1, 13, 53, 689
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 773,715,738,689, is 1.
Now, the common factors can be found like this.
773:773
715:5x 11x 13
738:2x 3x 3x 41
689:13x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 281035458990/(1x13)
LCM = 281035458990/13
LCM = 21618112230
Thus, we can understand that the LCM of 773,715,738,689 is 21618112230.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 773, 715, 738, 689?
Answer: LCM of 773, 715, 738, 689 is 21618112230.
2. How to calculate the LCM of 773, 715, 738, 689?
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 773, 715, 738, 689.
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}.