LCM of 273, 600, 938, 984, 716
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 273, 600, 938, 984, 716 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 273, 600, 938, 984, 716. So, keep reading to learn more.
Given numbers are 273,600,938,984,716
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 273,600,938,984,716 is 26847529800.
Find LCM of 273,600,938,984,716 with Prime Factorization
| 2 | 273, 600, 938, 984, 716 |
| 2 | 273, 300, 469, 492, 358 |
| 2 | 273, 150, 469, 246, 179 |
| 3 | 273, 75, 469, 123, 179 |
| 7 | 91, 25, 469, 41, 179 |
| 13, 25, 67, 41, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 13 x 25 x 67 x 41 x 179 = 26847529800
Therefore, the lowest common multiple of 273,600,938,984,716 is 26847529800.
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.
273 x 600 x 938 x 984 x 716 = 108249240153600
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.
273 : 1, 3, 7, 13, 21, 39, 91, 273
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
938 : 1, 2, 7, 14, 67, 134, 469, 938
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
716 : 1, 2, 4, 179, 358, 716
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 273,600,938,984,716, is 1.
Now, the common factors can be found like this.
273:3x 7x 13
600:2x 2x 2x 3x 5x 5
938:2x 7x 67
984:2x 2x 2x 3x 41
716:2x 2x 179
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 3x 7 = 4032
Therefore, the value for common factors is 4032.
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 = 108249240153600/(1x4032)
LCM = 108249240153600/4032
LCM = 26847529800
Thus, we can understand that the LCM of 273,600,938,984,716 is 26847529800.
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FAQs on LCM of 273, 600, 938, 984, 716
1. What is the LCM of 273, 600, 938, 984, 716?
Answer: LCM of 273, 600, 938, 984, 716 is 26847529800.
2. How to calculate the LCM of 273, 600, 938, 984, 716?
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 273, 600, 938, 984, 716.
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}.