LCM of 977, 726, 759, 677
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 977, 726, 759, 677 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 977, 726, 759, 677. So, keep reading to learn more.
Given numbers are 977,726,759,677
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 977,726,759,677 is 11044541442.
Find LCM of 977,726,759,677 with Prime Factorization
| 3 | 977, 726, 759, 677 |
| 11 | 977, 242, 253, 677 |
| 977, 22, 23, 677 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 977 x 22 x 23 x 677 = 11044541442
Therefore, the lowest common multiple of 977,726,759,677 is 11044541442.
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.
977 x 726 x 759 x 677 = 364469867586
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.
977 : 1, 977
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
759 : 1, 3, 11, 23, 33, 69, 253, 759
677 : 1, 677
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 977,726,759,677, is 1.
Now, the common factors can be found like this.
977:977
726:2x 3x 11x 11
759:3x 11x 23
677:677
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11 = 33
Therefore, the value for common factors is 33.
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 = 364469867586/(1x33)
LCM = 364469867586/33
LCM = 11044541442
Thus, we can understand that the LCM of 977,726,759,677 is 11044541442.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 977, 726, 759, 677
1. What is the LCM of 977, 726, 759, 677?
Answer: LCM of 977, 726, 759, 677 is 11044541442.
2. How to calculate the LCM of 977, 726, 759, 677?
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 977, 726, 759, 677.
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}.