Find the LCM of 113, 767, 973, 620, 649 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 113, 767, 973, 620, 649. So, keep reading to learn more.
Given numbers are 113,767,973,620,649
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 113,767,973,620,649 is 575136622060.
Find LCM of 113,767,973,620,649 with Prime Factorization
59 | 113, 767, 973, 620, 649 |
113, 13, 973, 620, 11 |
Multiply the prime numbers at the bottom and the left side.
59 x 113 x 13 x 973 x 620 x 11 = 575136622060
Therefore, the lowest common multiple of 113,767,973,620,649 is 575136622060.
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.
113 x 767 x 973 x 620 x 649 = 33933060701540
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.
113 : 1, 113
767 : 1, 13, 59, 767
973 : 1, 7, 139, 973
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
649 : 1, 11, 59, 649
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 113,767,973,620,649, is 1.
Now, the common factors can be found like this.
113:113
767:13x 59
973:7x 139
620:2x 2x 5x 31
649:11x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
59 = 59
Therefore, the value for common factors is 59.
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 = 33933060701540/(1x59)
LCM = 33933060701540/59
LCM = 575136622060
Thus, we can understand that the LCM of 113,767,973,620,649 is 575136622060.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 113, 767, 973, 620, 649?
Answer: LCM of 113, 767, 973, 620, 649 is 575136622060.
2. How to calculate the LCM of 113, 767, 973, 620, 649?
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 113, 767, 973, 620, 649.
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}.