LCM of 770, 676, 677, 795, 939
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 770, 676, 677, 795, 939 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, 676, 677, 795, 939. So, keep reading to learn more.
Given numbers are 770,676,677,795,939
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 770,676,677,795,939 is 8768747327340.
Find LCM of 770,676,677,795,939 with Prime Factorization
| 2 | 770, 676, 677, 795, 939 |
| 3 | 385, 338, 677, 795, 939 |
| 5 | 385, 338, 677, 265, 313 |
| 77, 338, 677, 53, 313 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 77 x 338 x 677 x 53 x 313 = 8768747327340
Therefore, the lowest common multiple of 770,676,677,795,939 is 8768747327340.
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 676 x 677 x 795 x 939 = 263062419820200
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
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
677 : 1, 677
795 : 1, 3, 5, 15, 53, 159, 265, 795
939 : 1, 3, 313, 939
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,676,677,795,939, is 1.
Now, the common factors can be found like this.
770:2x 5x 7x 11
676:2x 2x 13x 13
677:677
795:3x 5x 53
939:3x 313
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5 = 30
Therefore, the value for common factors is 30.
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 = 263062419820200/(1x30)
LCM = 263062419820200/30
LCM = 8768747327340
Thus, we can understand that the LCM of 770,676,677,795,939 is 8768747327340.
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FAQs on LCM of 770, 676, 677, 795, 939
1. What is the LCM of 770, 676, 677, 795, 939?
Answer: LCM of 770, 676, 677, 795, 939 is 8768747327340.
2. How to calculate the LCM of 770, 676, 677, 795, 939?
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, 676, 677, 795, 939.
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}.