Find the LCM of 494, 121, 138, 867, 578 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 494, 121, 138, 867, 578. So, keep reading to learn more.
Given numbers are 494,121,138,867,578
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 494,121,138,867,578 is 1191953334.
Find LCM of 494,121,138,867,578 with Prime Factorization
2 | 494, 121, 138, 867, 578 |
3 | 247, 121, 69, 867, 289 |
17 | 247, 121, 23, 289, 289 |
17 | 247, 121, 23, 17, 17 |
247, 121, 23, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 17 x 247 x 121 x 23 x 1 x 1 = 1191953334
Therefore, the lowest common multiple of 494,121,138,867,578 is 1191953334.
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.
494 x 121 x 138 x 867 x 578 = 4133694162312
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.
494 : 1, 2, 13, 19, 26, 38, 247, 494
121 : 1, 11, 121
138 : 1, 2, 3, 6, 23, 46, 69, 138
867 : 1, 3, 17, 51, 289, 867
578 : 1, 2, 17, 34, 289, 578
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,121,138,867,578, is 1.
Now, the common factors can be found like this.
494:2x 13x 19
121:11x 11
138:2x 3x 23
867:3x 17x 17
578:2x 17x 17
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 3x 17x 17 = 3468
Therefore, the value for common factors is 3468.
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 = 4133694162312/(1x3468)
LCM = 4133694162312/3468
LCM = 1191953334
Thus, we can understand that the LCM of 494,121,138,867,578 is 1191953334.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 494, 121, 138, 867, 578?
Answer: LCM of 494, 121, 138, 867, 578 is 1191953334.
2. How to calculate the LCM of 494, 121, 138, 867, 578?
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 494, 121, 138, 867, 578.
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}.