Find the LCM of 293, 869, 712, 121, 777 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 293, 869, 712, 121, 777. So, keep reading to learn more.
Given numbers are 293,869,712,121,777
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 293,869,712,121,777 is 1549462587288.
Find LCM of 293,869,712,121,777 with Prime Factorization
11 | 293, 869, 712, 121, 777 |
293, 79, 712, 11, 777 |
Multiply the prime numbers at the bottom and the left side.
11 x 293 x 79 x 712 x 11 x 777 = 1549462587288
Therefore, the lowest common multiple of 293,869,712,121,777 is 1549462587288.
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.
293 x 869 x 712 x 121 x 777 = 17044088460168
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.
293 : 1, 293
869 : 1, 11, 79, 869
712 : 1, 2, 4, 8, 89, 178, 356, 712
121 : 1, 11, 121
777 : 1, 3, 7, 21, 37, 111, 259, 777
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 293,869,712,121,777, is 1.
Now, the common factors can be found like this.
293:293
869:11x 79
712:2x 2x 2x 89
121:11x 11
777:3x 7x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 17044088460168/(1x11)
LCM = 17044088460168/11
LCM = 1549462587288
Thus, we can understand that the LCM of 293,869,712,121,777 is 1549462587288.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 293, 869, 712, 121, 777?
Answer: LCM of 293, 869, 712, 121, 777 is 1549462587288.
2. How to calculate the LCM of 293, 869, 712, 121, 777?
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 293, 869, 712, 121, 777.
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}.