LCM of 878, 413, 362, 543, 989
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 878, 413, 362, 543, 989 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 878, 413, 362, 543, 989. So, keep reading to learn more.
Given numbers are 878,413,362,543,989
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 878,413,362,543,989 is 194733508578.
Find LCM of 878,413,362,543,989 with Prime Factorization
| 2 | 878, 413, 362, 543, 989 |
| 181 | 439, 413, 181, 543, 989 |
| 439, 413, 1, 3, 989 |
Multiply the prime numbers at the bottom and the left side.
2 x 181 x 439 x 413 x 1 x 3 x 989 = 194733508578
Therefore, the lowest common multiple of 878,413,362,543,989 is 194733508578.
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.
878 x 413 x 362 x 543 x 989 = 70493530105236
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.
878 : 1, 2, 439, 878
413 : 1, 7, 59, 413
362 : 1, 2, 181, 362
543 : 1, 3, 181, 543
989 : 1, 23, 43, 989
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 878,413,362,543,989, is 1.
Now, the common factors can be found like this.
878:2x 439
413:7x 59
362:2x 181
543:3x 181
989:23x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 181 = 362
Therefore, the value for common factors is 362.
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 = 70493530105236/(1x362)
LCM = 70493530105236/362
LCM = 194733508578
Thus, we can understand that the LCM of 878,413,362,543,989 is 194733508578.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 878, 413, 362, 543, 989
1. What is the LCM of 878, 413, 362, 543, 989?
Answer: LCM of 878, 413, 362, 543, 989 is 194733508578.
2. How to calculate the LCM of 878, 413, 362, 543, 989?
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 878, 413, 362, 543, 989.
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}.