LCM of 874, 589, 258, 843, 638
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 874, 589, 258, 843, 638 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, 589, 258, 843, 638. So, keep reading to learn more.
Given numbers are 874,589,258,843,638
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 874,589,258,843,638 is 313299599514.
Find LCM of 874,589,258,843,638 with Prime Factorization
| 2 | 874, 589, 258, 843, 638 |
| 3 | 437, 589, 129, 843, 319 |
| 19 | 437, 589, 43, 281, 319 |
| 23, 31, 43, 281, 319 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 23 x 31 x 43 x 281 x 319 = 313299599514
Therefore, the lowest common multiple of 874,589,258,843,638 is 313299599514.
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 589 x 258 x 843 x 638 = 71432308689192
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
589 : 1, 19, 31, 589
258 : 1, 2, 3, 6, 43, 86, 129, 258
843 : 1, 3, 281, 843
638 : 1, 2, 11, 22, 29, 58, 319, 638
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,589,258,843,638, is 1.
Now, the common factors can be found like this.
874:2x 19x 23
589:19x 31
258:2x 3x 43
843:3x 281
638:2x 11x 29
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 19 = 228
Therefore, the value for common factors is 228.
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 = 71432308689192/(1x228)
LCM = 71432308689192/228
LCM = 313299599514
Thus, we can understand that the LCM of 874,589,258,843,638 is 313299599514.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 874, 589, 258, 843, 638
1. What is the LCM of 874, 589, 258, 843, 638?
Answer: LCM of 874, 589, 258, 843, 638 is 313299599514.
2. How to calculate the LCM of 874, 589, 258, 843, 638?
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, 589, 258, 843, 638.
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}.