Find the LCM of 986, 122, 737, 617 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 986, 122, 737, 617. So, keep reading to learn more.
Given numbers are 986,122,737,617
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 986,122,737,617 is 27350130434.
Find LCM of 986,122,737,617 with Prime Factorization
2 | 986, 122, 737, 617 |
493, 61, 737, 617 |
Multiply the prime numbers at the bottom and the left side.
2 x 493 x 61 x 737 x 617 = 27350130434
Therefore, the lowest common multiple of 986,122,737,617 is 27350130434.
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.
986 x 122 x 737 x 617 = 54700260868
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.
986 : 1, 2, 17, 29, 34, 58, 493, 986
122 : 1, 2, 61, 122
737 : 1, 11, 67, 737
617 : 1, 617
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,122,737,617, is 1.
Now, the common factors can be found like this.
986:2x 17x 29
122:2x 61
737:11x 67
617:617
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 54700260868/(1x2)
LCM = 54700260868/2
LCM = 27350130434
Thus, we can understand that the LCM of 986,122,737,617 is 27350130434.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 986, 122, 737, 617?
Answer: LCM of 986, 122, 737, 617 is 27350130434.
2. How to calculate the LCM of 986, 122, 737, 617?
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 986, 122, 737, 617.
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}.