LCM of 289, 638, 836, 290
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 289, 638, 836, 290 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 289, 638, 836, 290. So, keep reading to learn more.
Given numbers are 289,638,836,290
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 289,638,836,290 is 35032580.
Find LCM of 289,638,836,290 with Prime Factorization
| 2 | 289, 638, 836, 290 |
| 11 | 289, 319, 418, 145 |
| 29 | 289, 29, 38, 145 |
| 289, 1, 38, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 29 x 289 x 1 x 38 x 5 = 35032580
Therefore, the lowest common multiple of 289,638,836,290 is 35032580.
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.
289 x 638 x 836 x 290 = 44701572080
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.
289 : 1, 17, 289
638 : 1, 2, 11, 22, 29, 58, 319, 638
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
290 : 1, 2, 5, 10, 29, 58, 145, 290
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,638,836,290, is 1.
Now, the common factors can be found like this.
289:17x 17
638:2x 11x 29
836:2x 2x 11x 19
290:2x 5x 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 11x 29 = 1276
Therefore, the value for common factors is 1276.
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 = 44701572080/(1x1276)
LCM = 44701572080/1276
LCM = 35032580
Thus, we can understand that the LCM of 289,638,836,290 is 35032580.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 289, 638, 836, 290
1. What is the LCM of 289, 638, 836, 290?
Answer: LCM of 289, 638, 836, 290 is 35032580.
2. How to calculate the LCM of 289, 638, 836, 290?
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 289, 638, 836, 290.
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}.