LCM of 874, 808, 253, 627, 589
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 874, 808, 253, 627, 589 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, 808, 253, 627, 589. So, keep reading to learn more.
Given numbers are 874,808,253,627,589
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 874,808,253,627,589 is 361217208.
Find LCM of 874,808,253,627,589 with Prime Factorization
| 2 | 874, 808, 253, 627, 589 |
| 11 | 437, 404, 253, 627, 589 |
| 19 | 437, 404, 23, 57, 589 |
| 23 | 23, 404, 23, 3, 31 |
| 1, 404, 1, 3, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 19 x 23 x 1 x 404 x 1 x 3 x 31 = 361217208
Therefore, the lowest common multiple of 874,808,253,627,589 is 361217208.
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 808 x 253 x 627 x 589 = 65982102516528
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
808 : 1, 2, 4, 8, 101, 202, 404, 808
253 : 1, 11, 23, 253
627 : 1, 3, 11, 19, 33, 57, 209, 627
589 : 1, 19, 31, 589
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,808,253,627,589, is 1.
Now, the common factors can be found like this.
874:2x 19x 23
808:2x 2x 2x 101
253:11x 23
627:3x 11x 19
589:19x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 19x 19x 23 = 182666
Therefore, the value for common factors is 182666.
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 = 65982102516528/(1x182666)
LCM = 65982102516528/182666
LCM = 361217208
Thus, we can understand that the LCM of 874,808,253,627,589 is 361217208.
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FAQs on LCM of 874, 808, 253, 627, 589
1. What is the LCM of 874, 808, 253, 627, 589?
Answer: LCM of 874, 808, 253, 627, 589 is 361217208.
2. How to calculate the LCM of 874, 808, 253, 627, 589?
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, 808, 253, 627, 589.
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}.