LCM of 874, 284, 835, 131, 213
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 874, 284, 835, 131, 213 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 874, 284, 835, 131, 213. So, keep reading to learn more.
Given numbers are 874,284,835,131,213
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 874,284,835,131,213 is 40726660740.
Find LCM of 874,284,835,131,213 with Prime Factorization
| 2 | 874, 284, 835, 131, 213 |
| 71 | 437, 142, 835, 131, 213 |
| 437, 2, 835, 131, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 71 x 437 x 2 x 835 x 131 x 3 = 40726660740
Therefore, the lowest common multiple of 874,284,835,131,213 is 40726660740.
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.
874 x 284 x 835 x 131 x 213 = 5783185825080
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.
874 : 1, 2, 19, 23, 38, 46, 437, 874
284 : 1, 2, 4, 71, 142, 284
835 : 1, 5, 167, 835
131 : 1, 131
213 : 1, 3, 71, 213
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,284,835,131,213, is 1.
Now, the common factors can be found like this.
874:2x 19x 23
284:2x 2x 71
835:5x 167
131:131
213:3x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 71 = 142
Therefore, the value for common factors is 142.
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 = 5783185825080/(1x142)
LCM = 5783185825080/142
LCM = 40726660740
Thus, we can understand that the LCM of 874,284,835,131,213 is 40726660740.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 874, 284, 835, 131, 213
1. What is the LCM of 874, 284, 835, 131, 213?
Answer: LCM of 874, 284, 835, 131, 213 is 40726660740.
2. How to calculate the LCM of 874, 284, 835, 131, 213?
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 874, 284, 835, 131, 213.
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}.