LCM of 777, 851, 298, 917
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 777, 851, 298, 917 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 777, 851, 298, 917. So, keep reading to learn more.
Given numbers are 777,851,298,917
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 777,851,298,917 is 697648098.
Find LCM of 777,851,298,917 with Prime Factorization
| 7 | 777, 851, 298, 917 |
| 37 | 111, 851, 298, 131 |
| 3, 23, 298, 131 |
Multiply the prime numbers at the bottom and the left side.
7 x 37 x 3 x 23 x 298 x 131 = 697648098
Therefore, the lowest common multiple of 777,851,298,917 is 697648098.
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.
777 x 851 x 298 x 917 = 180690857382
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.
777 : 1, 3, 7, 21, 37, 111, 259, 777
851 : 1, 23, 37, 851
298 : 1, 2, 149, 298
917 : 1, 7, 131, 917
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 777,851,298,917, is 1.
Now, the common factors can be found like this.
777:3x 7x 37
851:23x 37
298:2x 149
917:7x 131
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 37 = 259
Therefore, the value for common factors is 259.
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 = 180690857382/(1x259)
LCM = 180690857382/259
LCM = 697648098
Thus, we can understand that the LCM of 777,851,298,917 is 697648098.
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FAQs on LCM of 777, 851, 298, 917
1. What is the LCM of 777, 851, 298, 917?
Answer: LCM of 777, 851, 298, 917 is 697648098.
2. How to calculate the LCM of 777, 851, 298, 917?
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 777, 851, 298, 917.
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}.