Find the LCM of 786, 926, 770, 262, 251 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 786, 926, 770, 262, 251. So, keep reading to learn more.
Given numbers are 786,926,770,262,251
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 786,926,770,262,251 is 35167215930.
Find LCM of 786,926,770,262,251 with Prime Factorization
2 | 786, 926, 770, 262, 251 |
131 | 393, 463, 385, 131, 251 |
3, 463, 385, 1, 251 |
Multiply the prime numbers at the bottom and the left side.
2 x 131 x 3 x 463 x 385 x 1 x 251 = 35167215930
Therefore, the lowest common multiple of 786,926,770,262,251 is 35167215930.
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.
786 x 926 x 770 x 262 x 251 = 36855242294640
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.
786 : 1, 2, 3, 6, 131, 262, 393, 786
926 : 1, 2, 463, 926
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
262 : 1, 2, 131, 262
251 : 1, 251
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 786,926,770,262,251, is 1.
Now, the common factors can be found like this.
786:2x 3x 131
926:2x 463
770:2x 5x 7x 11
262:2x 131
251:251
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 2x 131 = 1048
Therefore, the value for common factors is 1048.
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 = 36855242294640/(1x1048)
LCM = 36855242294640/1048
LCM = 35167215930
Thus, we can understand that the LCM of 786,926,770,262,251 is 35167215930.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 786, 926, 770, 262, 251?
Answer: LCM of 786, 926, 770, 262, 251 is 35167215930.
2. How to calculate the LCM of 786, 926, 770, 262, 251?
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 786, 926, 770, 262, 251.
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}.