LCM of 213, 800, 305, 894, 760
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 213, 800, 305, 894, 760 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 213, 800, 305, 894, 760. So, keep reading to learn more.
Given numbers are 213,800,305,894,760
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 213,800,305,894,760 is 29426546400.
Find LCM of 213,800,305,894,760 with Prime Factorization
| 2 | 213, 800, 305, 894, 760 |
| 2 | 213, 400, 305, 447, 380 |
| 2 | 213, 200, 305, 447, 190 |
| 3 | 213, 100, 305, 447, 95 |
| 5 | 71, 100, 305, 149, 95 |
| 71, 20, 61, 149, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 71 x 20 x 61 x 149 x 19 = 29426546400
Therefore, the lowest common multiple of 213,800,305,894,760 is 29426546400.
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.
213 x 800 x 305 x 894 x 760 = 35311855680000
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.
213 : 1, 3, 71, 213
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
305 : 1, 5, 61, 305
894 : 1, 2, 3, 6, 149, 298, 447, 894
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 213,800,305,894,760, is 1.
Now, the common factors can be found like this.
213:3x 71
800:2x 2x 2x 2x 2x 5x 5
305:5x 61
894:2x 3x 149
760:2x 2x 2x 5x 19
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 3x 5x 5 = 1200
Therefore, the value for common factors is 1200.
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 = 35311855680000/(1x1200)
LCM = 35311855680000/1200
LCM = 29426546400
Thus, we can understand that the LCM of 213,800,305,894,760 is 29426546400.
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FAQs on LCM of 213, 800, 305, 894, 760
1. What is the LCM of 213, 800, 305, 894, 760?
Answer: LCM of 213, 800, 305, 894, 760 is 29426546400.
2. How to calculate the LCM of 213, 800, 305, 894, 760?
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 213, 800, 305, 894, 760.
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}.