LCM of 777, 612, 867, 257
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 777, 612, 867, 257 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, 612, 867, 257. So, keep reading to learn more.
Given numbers are 777,612,867,257
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 777,612,867,257 is 692521452.
Find LCM of 777,612,867,257 with Prime Factorization
| 3 | 777, 612, 867, 257 |
| 17 | 259, 204, 289, 257 |
| 259, 12, 17, 257 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 259 x 12 x 17 x 257 = 692521452
Therefore, the lowest common multiple of 777,612,867,257 is 692521452.
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 612 x 867 x 257 = 105955782156
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
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
867 : 1, 3, 17, 51, 289, 867
257 : 1, 257
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 777,612,867,257, is 1.
Now, the common factors can be found like this.
777:3x 7x 37
612:2x 2x 3x 3x 17
867:3x 17x 17
257:257
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 17 = 153
Therefore, the value for common factors is 153.
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 = 105955782156/(1x153)
LCM = 105955782156/153
LCM = 692521452
Thus, we can understand that the LCM of 777,612,867,257 is 692521452.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 777, 612, 867, 257
1. What is the LCM of 777, 612, 867, 257?
Answer: LCM of 777, 612, 867, 257 is 692521452.
2. How to calculate the LCM of 777, 612, 867, 257?
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, 612, 867, 257.
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}.