LCM of 616, 868, 746, 720, 831
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 616, 868, 746, 720, 831 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 616, 868, 746, 720, 831. So, keep reading to learn more.
Given numbers are 616,868,746,720,831
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 616,868,746,720,831 is 177571603440.
Find LCM of 616,868,746,720,831 with Prime Factorization
| 2 | 616, 868, 746, 720, 831 |
| 2 | 308, 434, 373, 360, 831 |
| 2 | 154, 217, 373, 180, 831 |
| 3 | 77, 217, 373, 90, 831 |
| 7 | 77, 217, 373, 30, 277 |
| 11, 31, 373, 30, 277 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 11 x 31 x 373 x 30 x 277 = 177571603440
Therefore, the lowest common multiple of 616,868,746,720,831 is 177571603440.
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.
616 x 868 x 746 x 720 x 831 = 238656235023360
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.
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
746 : 1, 2, 373, 746
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
831 : 1, 3, 277, 831
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 616,868,746,720,831, is 1.
Now, the common factors can be found like this.
616:2x 2x 2x 7x 11
868:2x 2x 7x 31
746:2x 373
720:2x 2x 2x 2x 3x 3x 5
831:3x 277
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 2x 3x 7 = 1344
Therefore, the value for common factors is 1344.
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 = 238656235023360/(1x1344)
LCM = 238656235023360/1344
LCM = 177571603440
Thus, we can understand that the LCM of 616,868,746,720,831 is 177571603440.
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FAQs on LCM of 616, 868, 746, 720, 831
1. What is the LCM of 616, 868, 746, 720, 831?
Answer: LCM of 616, 868, 746, 720, 831 is 177571603440.
2. How to calculate the LCM of 616, 868, 746, 720, 831?
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 616, 868, 746, 720, 831.
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}.