LCM of 657, 705, 765, 977
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 657, 705, 765, 977 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 657, 705, 765, 977. So, keep reading to learn more.
Given numbers are 657,705,765,977
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 657,705,765,977 is 2564346555.
Find LCM of 657,705,765,977 with Prime Factorization
| 3 | 657, 705, 765, 977 |
| 3 | 219, 235, 255, 977 |
| 5 | 73, 235, 85, 977 |
| 73, 47, 17, 977 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 73 x 47 x 17 x 977 = 2564346555
Therefore, the lowest common multiple of 657,705,765,977 is 2564346555.
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.
657 x 705 x 765 x 977 = 346186784925
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.
657 : 1, 3, 9, 73, 219, 657
705 : 1, 3, 5, 15, 47, 141, 235, 705
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
977 : 1, 977
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 657,705,765,977, is 1.
Now, the common factors can be found like this.
657:3x 3x 73
705:3x 5x 47
765:3x 3x 5x 17
977:977
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 5 = 135
Therefore, the value for common factors is 135.
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 = 346186784925/(1x135)
LCM = 346186784925/135
LCM = 2564346555
Thus, we can understand that the LCM of 657,705,765,977 is 2564346555.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 657, 705, 765, 977
1. What is the LCM of 657, 705, 765, 977?
Answer: LCM of 657, 705, 765, 977 is 2564346555.
2. How to calculate the LCM of 657, 705, 765, 977?
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 657, 705, 765, 977.
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}.