LCM of 536, 616, 622, 273, 542
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 536, 616, 622, 273, 542 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 536, 616, 622, 273, 542. So, keep reading to learn more.
Given numbers are 536,616,622,273,542
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 536,616,622,273,542 is 135659371848.
Find LCM of 536,616,622,273,542 with Prime Factorization
| 2 | 536, 616, 622, 273, 542 |
| 2 | 268, 308, 311, 273, 271 |
| 2 | 134, 154, 311, 273, 271 |
| 7 | 67, 77, 311, 273, 271 |
| 67, 11, 311, 39, 271 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 67 x 11 x 311 x 39 x 271 = 135659371848
Therefore, the lowest common multiple of 536,616,622,273,542 is 135659371848.
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.
536 x 616 x 622 x 273 x 542 = 30387699293952
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.
536 : 1, 2, 4, 8, 67, 134, 268, 536
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
622 : 1, 2, 311, 622
273 : 1, 3, 7, 13, 21, 39, 91, 273
542 : 1, 2, 271, 542
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 536,616,622,273,542, is 1.
Now, the common factors can be found like this.
536:2x 2x 2x 67
616:2x 2x 2x 7x 11
622:2x 311
273:3x 7x 13
542:2x 271
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 2x 2x 7 = 224
Therefore, the value for common factors is 224.
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 = 30387699293952/(1x224)
LCM = 30387699293952/224
LCM = 135659371848
Thus, we can understand that the LCM of 536,616,622,273,542 is 135659371848.
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FAQs on LCM of 536, 616, 622, 273, 542
1. What is the LCM of 536, 616, 622, 273, 542?
Answer: LCM of 536, 616, 622, 273, 542 is 135659371848.
2. How to calculate the LCM of 536, 616, 622, 273, 542?
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 536, 616, 622, 273, 542.
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}.