LCM of 546, 571, 908, 488, 959
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 546, 571, 908, 488, 959 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, 571, 908, 488, 959. So, keep reading to learn more.
Given numbers are 546,571,908,488,959
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 546,571,908,488,959 is 2365729043496.
Find LCM of 546,571,908,488,959 with Prime Factorization
| 2 | 546, 571, 908, 488, 959 |
| 2 | 273, 571, 454, 244, 959 |
| 7 | 273, 571, 227, 122, 959 |
| 39, 571, 227, 122, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 39 x 571 x 227 x 122 x 137 = 2365729043496
Therefore, the lowest common multiple of 546,571,908,488,959 is 2365729043496.
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 571 x 908 x 488 x 959 = 132480826435776
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
571 : 1, 571
908 : 1, 2, 4, 227, 454, 908
488 : 1, 2, 4, 8, 61, 122, 244, 488
959 : 1, 7, 137, 959
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,571,908,488,959, is 1.
Now, the common factors can be found like this.
546:2x 3x 7x 13
571:571
908:2x 2x 227
488:2x 2x 2x 61
959:7x 137
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 7 = 56
Therefore, the value for common factors is 56.
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 = 132480826435776/(1x56)
LCM = 132480826435776/56
LCM = 2365729043496
Thus, we can understand that the LCM of 546,571,908,488,959 is 2365729043496.
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FAQs on LCM of 546, 571, 908, 488, 959
1. What is the LCM of 546, 571, 908, 488, 959?
Answer: LCM of 546, 571, 908, 488, 959 is 2365729043496.
2. How to calculate the LCM of 546, 571, 908, 488, 959?
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, 571, 908, 488, 959.
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}.