Find the LCM of 709, 993, 829, 802, 477 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 709, 993, 829, 802, 477. So, keep reading to learn more.
Given numbers are 709,993,829,802,477
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 709,993,829,802,477 is 74425456447614.
Find LCM of 709,993,829,802,477 with Prime Factorization
3 | 709, 993, 829, 802, 477 |
709, 331, 829, 802, 159 |
Multiply the prime numbers at the bottom and the left side.
3 x 709 x 331 x 829 x 802 x 159 = 74425456447614
Therefore, the lowest common multiple of 709,993,829,802,477 is 74425456447614.
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.
709 x 993 x 829 x 802 x 477 = 223276369342842
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.
709 : 1, 709
993 : 1, 3, 331, 993
829 : 1, 829
802 : 1, 2, 401, 802
477 : 1, 3, 9, 53, 159, 477
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 709,993,829,802,477, is 1.
Now, the common factors can be found like this.
709:709
993:3x 331
829:829
802:2x 401
477:3x 3x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 223276369342842/(1x3)
LCM = 223276369342842/3
LCM = 74425456447614
Thus, we can understand that the LCM of 709,993,829,802,477 is 74425456447614.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 709, 993, 829, 802, 477?
Answer: LCM of 709, 993, 829, 802, 477 is 74425456447614.
2. How to calculate the LCM of 709, 993, 829, 802, 477?
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 709, 993, 829, 802, 477.
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}.