LCM of 608, 652, 498, 949, 993
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 608, 652, 498, 949, 993 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 608, 652, 498, 949, 993. So, keep reading to learn more.
Given numbers are 608,652,498,949,993
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 608,652,498,949,993 is 7751481894624.
Find LCM of 608,652,498,949,993 with Prime Factorization
| 2 | 608, 652, 498, 949, 993 |
| 2 | 304, 326, 249, 949, 993 |
| 3 | 152, 163, 249, 949, 993 |
| 152, 163, 83, 949, 331 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 152 x 163 x 83 x 949 x 331 = 7751481894624
Therefore, the lowest common multiple of 608,652,498,949,993 is 7751481894624.
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.
608 x 652 x 498 x 949 x 993 = 186035565470976
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.
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
652 : 1, 2, 4, 163, 326, 652
498 : 1, 2, 3, 6, 83, 166, 249, 498
949 : 1, 13, 73, 949
993 : 1, 3, 331, 993
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 608,652,498,949,993, is 1.
Now, the common factors can be found like this.
608:2x 2x 2x 2x 2x 19
652:2x 2x 163
498:2x 3x 83
949:13x 73
993:3x 331
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 3 = 24
Therefore, the value for common factors is 24.
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 = 186035565470976/(1x24)
LCM = 186035565470976/24
LCM = 7751481894624
Thus, we can understand that the LCM of 608,652,498,949,993 is 7751481894624.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 608, 652, 498, 949, 993
1. What is the LCM of 608, 652, 498, 949, 993?
Answer: LCM of 608, 652, 498, 949, 993 is 7751481894624.
2. How to calculate the LCM of 608, 652, 498, 949, 993?
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 608, 652, 498, 949, 993.
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}.