LCM of 546, 390, 410, 106, 979
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 546, 390, 410, 106, 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 546, 390, 410, 106, 979. So, keep reading to learn more.
Given numbers are 546,390,410,106,979
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 546,390,410,106,979 is 5807711910.
Find LCM of 546,390,410,106,979 with Prime Factorization
| 2 | 546, 390, 410, 106, 979 |
| 3 | 273, 195, 205, 53, 979 |
| 5 | 91, 65, 205, 53, 979 |
| 13 | 91, 13, 41, 53, 979 |
| 7, 1, 41, 53, 979 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 7 x 1 x 41 x 53 x 979 = 5807711910
Therefore, the lowest common multiple of 546,390,410,106,979 is 5807711910.
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.
546 x 390 x 410 x 106 x 979 = 9060030579600
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.
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
410 : 1, 2, 5, 10, 41, 82, 205, 410
106 : 1, 2, 53, 106
979 : 1, 11, 89, 979
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,390,410,106,979, is 1.
Now, the common factors can be found like this.
546:2x 3x 7x 13
390:2x 3x 5x 13
410:2x 5x 41
106:2x 53
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.
2x 2x 2x 3x 5x 13 = 1560
Therefore, the value for common factors is 1560.
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 = 9060030579600/(1x1560)
LCM = 9060030579600/1560
LCM = 5807711910
Thus, we can understand that the LCM of 546,390,410,106,979 is 5807711910.
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FAQs on LCM of 546, 390, 410, 106, 979
1. What is the LCM of 546, 390, 410, 106, 979?
Answer: LCM of 546, 390, 410, 106, 979 is 5807711910.
2. How to calculate the LCM of 546, 390, 410, 106, 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 546, 390, 410, 106, 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}.