Find the LCM of 474, 748, 823, 158, 412 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 474, 748, 823, 158, 412. So, keep reading to learn more.
Given numbers are 474,748,823,158,412
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 474,748,823,158,412 is 15027509244.
Find LCM of 474,748,823,158,412 with Prime Factorization
2 | 474, 748, 823, 158, 412 |
2 | 237, 374, 823, 79, 206 |
79 | 237, 187, 823, 79, 103 |
3, 187, 823, 1, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 79 x 3 x 187 x 823 x 1 x 103 = 15027509244
Therefore, the lowest common multiple of 474,748,823,158,412 is 15027509244.
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.
474 x 748 x 823 x 158 x 412 = 18994771684416
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.
474 : 1, 2, 3, 6, 79, 158, 237, 474
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
823 : 1, 823
158 : 1, 2, 79, 158
412 : 1, 2, 4, 103, 206, 412
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 474,748,823,158,412, is 1.
Now, the common factors can be found like this.
474:2x 3x 79
748:2x 2x 11x 17
823:823
158:2x 79
412:2x 2x 103
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 2x 79 = 1264
Therefore, the value for common factors is 1264.
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 = 18994771684416/(1x1264)
LCM = 18994771684416/1264
LCM = 15027509244
Thus, we can understand that the LCM of 474,748,823,158,412 is 15027509244.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 474, 748, 823, 158, 412?
Answer: LCM of 474, 748, 823, 158, 412 is 15027509244.
2. How to calculate the LCM of 474, 748, 823, 158, 412?
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 474, 748, 823, 158, 412.
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}.