Find the LCM of 893, 141, 247, 474, 884 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 893, 141, 247, 474, 884. So, keep reading to learn more.
Given numbers are 893,141,247,474,884
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 893,141,247,474,884 is 187090644.
Find LCM of 893,141,247,474,884 with Prime Factorization
2 | 893, 141, 247, 474, 884 |
3 | 893, 141, 247, 237, 442 |
13 | 893, 47, 247, 79, 442 |
19 | 893, 47, 19, 79, 34 |
47 | 47, 47, 1, 79, 34 |
1, 1, 1, 79, 34 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 19 x 47 x 1 x 1 x 1 x 79 x 34 = 187090644
Therefore, the lowest common multiple of 893,141,247,474,884 is 187090644.
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.
893 x 141 x 247 x 474 x 884 = 13031611717176
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.
893 : 1, 19, 47, 893
141 : 1, 3, 47, 141
247 : 1, 13, 19, 247
474 : 1, 2, 3, 6, 79, 158, 237, 474
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 893,141,247,474,884, is 1.
Now, the common factors can be found like this.
893:19x 47
141:3x 47
247:13x 19
474:2x 3x 79
884:2x 2x 13x 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 3x 13x 19x 47 = 69654
Therefore, the value for common factors is 69654.
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 = 13031611717176/(1x69654)
LCM = 13031611717176/69654
LCM = 187090644
Thus, we can understand that the LCM of 893,141,247,474,884 is 187090644.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 893, 141, 247, 474, 884?
Answer: LCM of 893, 141, 247, 474, 884 is 187090644.
2. How to calculate the LCM of 893, 141, 247, 474, 884?
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 893, 141, 247, 474, 884.
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}.