LCM of 771, 910, 242, 979, 861
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 771, 910, 242, 979, 861 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 771, 910, 242, 979, 861. So, keep reading to learn more.
Given numbers are 771,910,242,979,861
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 771,910,242,979,861 is 309781161690.
Find LCM of 771,910,242,979,861 with Prime Factorization
| 2 | 771, 910, 242, 979, 861 |
| 3 | 771, 455, 121, 979, 861 |
| 7 | 257, 455, 121, 979, 287 |
| 11 | 257, 65, 121, 979, 41 |
| 257, 65, 11, 89, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 257 x 65 x 11 x 89 x 41 = 309781161690
Therefore, the lowest common multiple of 771,910,242,979,861 is 309781161690.
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.
771 x 910 x 242 x 979 x 861 = 143118896700780
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.
771 : 1, 3, 257, 771
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
242 : 1, 2, 11, 22, 121, 242
979 : 1, 11, 89, 979
861 : 1, 3, 7, 21, 41, 123, 287, 861
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 771,910,242,979,861, is 1.
Now, the common factors can be found like this.
771:3x 257
910:2x 5x 7x 13
242:2x 11x 11
979:11x 89
861:3x 7x 41
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 7x 11 = 462
Therefore, the value for common factors is 462.
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 = 143118896700780/(1x462)
LCM = 143118896700780/462
LCM = 309781161690
Thus, we can understand that the LCM of 771,910,242,979,861 is 309781161690.
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FAQs on LCM of 771, 910, 242, 979, 861
1. What is the LCM of 771, 910, 242, 979, 861?
Answer: LCM of 771, 910, 242, 979, 861 is 309781161690.
2. How to calculate the LCM of 771, 910, 242, 979, 861?
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 771, 910, 242, 979, 861.
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}.