LCM of 604, 810, 979, 445, 356
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 604, 810, 979, 445, 356 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 604, 810, 979, 445, 356. So, keep reading to learn more.
Given numbers are 604,810,979,445,356
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 604,810,979,445,356 is 239482980.
Find LCM of 604,810,979,445,356 with Prime Factorization
| 2 | 604, 810, 979, 445, 356 |
| 2 | 302, 405, 979, 445, 178 |
| 5 | 151, 405, 979, 445, 89 |
| 89 | 151, 81, 979, 89, 89 |
| 151, 81, 11, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 89 x 151 x 81 x 11 x 1 x 1 = 239482980
Therefore, the lowest common multiple of 604,810,979,445,356 is 239482980.
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.
604 x 810 x 979 x 445 x 356 = 75877787383200
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.
604 : 1, 2, 4, 151, 302, 604
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
979 : 1, 11, 89, 979
445 : 1, 5, 89, 445
356 : 1, 2, 4, 89, 178, 356
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 604,810,979,445,356, is 1.
Now, the common factors can be found like this.
604:2x 2x 151
810:2x 3x 3x 3x 3x 5
979:11x 89
445:5x 89
356:2x 2x 89
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 89x 89 = 316840
Therefore, the value for common factors is 316840.
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 = 75877787383200/(1x316840)
LCM = 75877787383200/316840
LCM = 239482980
Thus, we can understand that the LCM of 604,810,979,445,356 is 239482980.
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FAQs on LCM of 604, 810, 979, 445, 356
1. What is the LCM of 604, 810, 979, 445, 356?
Answer: LCM of 604, 810, 979, 445, 356 is 239482980.
2. How to calculate the LCM of 604, 810, 979, 445, 356?
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 604, 810, 979, 445, 356.
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}.