LCM of 310, 548, 636, 589, 951
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 310, 548, 636, 589, 951 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 310, 548, 636, 589, 951. So, keep reading to learn more.
Given numbers are 310,548,636,589,951
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 310,548,636,589,951 is 81343385580.
Find LCM of 310,548,636,589,951 with Prime Factorization
| 2 | 310, 548, 636, 589, 951 |
| 2 | 155, 274, 318, 589, 951 |
| 3 | 155, 137, 159, 589, 951 |
| 31 | 155, 137, 53, 589, 317 |
| 5, 137, 53, 19, 317 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 31 x 5 x 137 x 53 x 19 x 317 = 81343385580
Therefore, the lowest common multiple of 310,548,636,589,951 is 81343385580.
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.
310 x 548 x 636 x 589 x 951 = 60519478871520
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.
310 : 1, 2, 5, 10, 31, 62, 155, 310
548 : 1, 2, 4, 137, 274, 548
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
589 : 1, 19, 31, 589
951 : 1, 3, 317, 951
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,548,636,589,951, is 1.
Now, the common factors can be found like this.
310:2x 5x 31
548:2x 2x 137
636:2x 2x 3x 53
589:19x 31
951:3x 317
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 31 = 744
Therefore, the value for common factors is 744.
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 = 60519478871520/(1x744)
LCM = 60519478871520/744
LCM = 81343385580
Thus, we can understand that the LCM of 310,548,636,589,951 is 81343385580.
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FAQs on LCM of 310, 548, 636, 589, 951
1. What is the LCM of 310, 548, 636, 589, 951?
Answer: LCM of 310, 548, 636, 589, 951 is 81343385580.
2. How to calculate the LCM of 310, 548, 636, 589, 951?
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 310, 548, 636, 589, 951.
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}.