LCM of 977, 759, 465, 568, 961
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 977, 759, 465, 568, 961 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, 759, 465, 568, 961. So, keep reading to learn more.
Given numbers are 977,759,465,568,961
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 977,759,465,568,961 is 2023848817320.
Find LCM of 977,759,465,568,961 with Prime Factorization
| 3 | 977, 759, 465, 568, 961 |
| 31 | 977, 253, 155, 568, 961 |
| 977, 253, 5, 568, 31 |
Multiply the prime numbers at the bottom and the left side.
3 x 31 x 977 x 253 x 5 x 568 x 31 = 2023848817320
Therefore, the lowest common multiple of 977,759,465,568,961 is 2023848817320.
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 759 x 465 x 568 x 961 = 188217940010760
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
759 : 1, 3, 11, 23, 33, 69, 253, 759
465 : 1, 3, 5, 15, 31, 93, 155, 465
568 : 1, 2, 4, 8, 71, 142, 284, 568
961 : 1, 31, 961
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 977,759,465,568,961, is 1.
Now, the common factors can be found like this.
977:977
759:3x 11x 23
465:3x 5x 31
568:2x 2x 2x 71
961:31x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 31 = 93
Therefore, the value for common factors is 93.
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 = 188217940010760/(1x93)
LCM = 188217940010760/93
LCM = 2023848817320
Thus, we can understand that the LCM of 977,759,465,568,961 is 2023848817320.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 977, 759, 465, 568, 961
1. What is the LCM of 977, 759, 465, 568, 961?
Answer: LCM of 977, 759, 465, 568, 961 is 2023848817320.
2. How to calculate the LCM of 977, 759, 465, 568, 961?
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, 759, 465, 568, 961.
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}.