LCM of 538, 290, 841, 290, 436
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 538, 290, 841, 290, 436 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 538, 290, 841, 290, 436. So, keep reading to learn more.
Given numbers are 538,290,841,290,436
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 538,290,841,290,436 is 493179220.
Find LCM of 538,290,841,290,436 with Prime Factorization
| 2 | 538, 290, 841, 290, 436 |
| 5 | 269, 145, 841, 145, 218 |
| 29 | 269, 29, 841, 29, 218 |
| 269, 1, 1, 29, 218 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 29 x 269 x 1 x 1 x 29 x 218 = 493179220
Therefore, the lowest common multiple of 538,290,841,290,436 is 493179220.
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.
538 x 290 x 841 x 290 x 436 = 16590548960800
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.
538 : 1, 2, 269, 538
290 : 1, 2, 5, 10, 29, 58, 145, 290
841 : 1, 29, 841
290 : 1, 2, 5, 10, 29, 58, 145, 290
436 : 1, 2, 4, 109, 218, 436
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,290,841,290,436, is 1.
Now, the common factors can be found like this.
538:2x 269
290:2x 5x 29
841:29x 29
290:2x 5x 29
436:2x 2x 109
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 2x 5x 29x 29 = 33640
Therefore, the value for common factors is 33640.
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 = 16590548960800/(1x33640)
LCM = 16590548960800/33640
LCM = 493179220
Thus, we can understand that the LCM of 538,290,841,290,436 is 493179220.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 538, 290, 841, 290, 436
1. What is the LCM of 538, 290, 841, 290, 436?
Answer: LCM of 538, 290, 841, 290, 436 is 493179220.
2. How to calculate the LCM of 538, 290, 841, 290, 436?
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 538, 290, 841, 290, 436.
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}.