Find the LCM of 770, 939, 880, 668, 110 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 770, 939, 880, 668, 110. So, keep reading to learn more.
Given numbers are 770,939,880,668,110
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 770,939,880,668,110 is 965968080.
Find LCM of 770,939,880,668,110 with Prime Factorization
2 | 770, 939, 880, 668, 110 |
2 | 385, 939, 440, 334, 55 |
5 | 385, 939, 220, 167, 55 |
11 | 77, 939, 44, 167, 11 |
7, 939, 4, 167, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 7 x 939 x 4 x 167 x 1 = 965968080
Therefore, the lowest common multiple of 770,939,880,668,110 is 965968080.
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.
770 x 939 x 880 x 668 x 110 = 46752855072000
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.
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
939 : 1, 3, 313, 939
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
668 : 1, 2, 4, 167, 334, 668
110 : 1, 2, 5, 10, 11, 22, 55, 110
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,939,880,668,110, is 1.
Now, the common factors can be found like this.
770:2x 5x 7x 11
939:3x 313
880:2x 2x 2x 2x 5x 11
668:2x 2x 167
110:2x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 5x 5x 11x 11 = 48400
Therefore, the value for common factors is 48400.
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 = 46752855072000/(1x48400)
LCM = 46752855072000/48400
LCM = 965968080
Thus, we can understand that the LCM of 770,939,880,668,110 is 965968080.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 770, 939, 880, 668, 110?
Answer: LCM of 770, 939, 880, 668, 110 is 965968080.
2. How to calculate the LCM of 770, 939, 880, 668, 110?
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 770, 939, 880, 668, 110.
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}.