LCM of 826, 472, 589, 349, 518
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 826, 472, 589, 349, 518 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 826, 472, 589, 349, 518. So, keep reading to learn more.
Given numbers are 826,472,589,349,518
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 826,472,589,349,518 is 25129421128.
Find LCM of 826,472,589,349,518 with Prime Factorization
| 2 | 826, 472, 589, 349, 518 |
| 7 | 413, 236, 589, 349, 259 |
| 59 | 59, 236, 589, 349, 37 |
| 1, 4, 589, 349, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 59 x 1 x 4 x 589 x 349 x 37 = 25129421128
Therefore, the lowest common multiple of 826,472,589,349,518 is 25129421128.
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.
826 x 472 x 589 x 349 x 518 = 41513803703456
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.
826 : 1, 2, 7, 14, 59, 118, 413, 826
472 : 1, 2, 4, 8, 59, 118, 236, 472
589 : 1, 19, 31, 589
349 : 1, 349
518 : 1, 2, 7, 14, 37, 74, 259, 518
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 826,472,589,349,518, is 1.
Now, the common factors can be found like this.
826:2x 7x 59
472:2x 2x 2x 59
589:19x 31
349:349
518:2x 7x 37
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 7x 59 = 1652
Therefore, the value for common factors is 1652.
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 = 41513803703456/(1x1652)
LCM = 41513803703456/1652
LCM = 25129421128
Thus, we can understand that the LCM of 826,472,589,349,518 is 25129421128.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 826, 472, 589, 349, 518
1. What is the LCM of 826, 472, 589, 349, 518?
Answer: LCM of 826, 472, 589, 349, 518 is 25129421128.
2. How to calculate the LCM of 826, 472, 589, 349, 518?
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 826, 472, 589, 349, 518.
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}.