LCM of 459, 347, 572, 927, 979
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 459, 347, 572, 927, 979 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 459, 347, 572, 927, 979. So, keep reading to learn more.
Given numbers are 459,347,572,927,979
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 459,347,572,927,979 is 835151798052.
Find LCM of 459,347,572,927,979 with Prime Factorization
| 3 | 459, 347, 572, 927, 979 |
| 3 | 153, 347, 572, 309, 979 |
| 11 | 51, 347, 572, 103, 979 |
| 51, 347, 52, 103, 89 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 11 x 51 x 347 x 52 x 103 x 89 = 835151798052
Therefore, the lowest common multiple of 459,347,572,927,979 is 835151798052.
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.
459 x 347 x 572 x 927 x 979 = 82680028007148
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.
459 : 1, 3, 9, 17, 27, 51, 153, 459
347 : 1, 347
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
927 : 1, 3, 9, 103, 309, 927
979 : 1, 11, 89, 979
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 459,347,572,927,979, is 1.
Now, the common factors can be found like this.
459:3x 3x 3x 17
347:347
572:2x 2x 11x 13
927:3x 3x 103
979:11x 89
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 11 = 99
Therefore, the value for common factors is 99.
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 = 82680028007148/(1x99)
LCM = 82680028007148/99
LCM = 835151798052
Thus, we can understand that the LCM of 459,347,572,927,979 is 835151798052.
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FAQs on LCM of 459, 347, 572, 927, 979
1. What is the LCM of 459, 347, 572, 927, 979?
Answer: LCM of 459, 347, 572, 927, 979 is 835151798052.
2. How to calculate the LCM of 459, 347, 572, 927, 979?
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 459, 347, 572, 927, 979.
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}.