LCM of 977, 979, 860, 869, 688
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 977, 979, 860, 869, 688 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, 979, 860, 869, 688. So, keep reading to learn more.
Given numbers are 977,979,860,869,688
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 977,979,860,869,688 is 259933820080.
Find LCM of 977,979,860,869,688 with Prime Factorization
| 2 | 977, 979, 860, 869, 688 |
| 2 | 977, 979, 430, 869, 344 |
| 11 | 977, 979, 215, 869, 172 |
| 43 | 977, 89, 215, 79, 172 |
| 977, 89, 5, 79, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 43 x 977 x 89 x 5 x 79 x 4 = 259933820080
Therefore, the lowest common multiple of 977,979,860,869,688 is 259933820080.
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 979 x 860 x 869 x 688 = 491794787591360
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
979 : 1, 11, 89, 979
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
869 : 1, 11, 79, 869
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 977,979,860,869,688, is 1.
Now, the common factors can be found like this.
977:977
979:11x 89
860:2x 2x 5x 43
869:11x 79
688:2x 2x 2x 2x 43
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 11x 43 = 1892
Therefore, the value for common factors is 1892.
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 = 491794787591360/(1x1892)
LCM = 491794787591360/1892
LCM = 259933820080
Thus, we can understand that the LCM of 977,979,860,869,688 is 259933820080.
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FAQs on LCM of 977, 979, 860, 869, 688
1. What is the LCM of 977, 979, 860, 869, 688?
Answer: LCM of 977, 979, 860, 869, 688 is 259933820080.
2. How to calculate the LCM of 977, 979, 860, 869, 688?
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, 979, 860, 869, 688.
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}.