LCM of 613, 305, 504, 800, 987
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 613, 305, 504, 800, 987 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 613, 305, 504, 800, 987. So, keep reading to learn more.
Given numbers are 613,305,504,800,987
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 613,305,504,800,987 is 88576538400.
Find LCM of 613,305,504,800,987 with Prime Factorization
| 2 | 613, 305, 504, 800, 987 |
| 2 | 613, 305, 252, 400, 987 |
| 2 | 613, 305, 126, 200, 987 |
| 3 | 613, 305, 63, 100, 987 |
| 5 | 613, 305, 21, 100, 329 |
| 7 | 613, 61, 21, 20, 329 |
| 613, 61, 3, 20, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 7 x 613 x 61 x 3 x 20 x 47 = 88576538400
Therefore, the lowest common multiple of 613,305,504,800,987 is 88576538400.
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.
613 x 305 x 504 x 800 x 987 = 74404292256000
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.
613 : 1, 613
305 : 1, 5, 61, 305
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
987 : 1, 3, 7, 21, 47, 141, 329, 987
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 613,305,504,800,987, is 1.
Now, the common factors can be found like this.
613:613
305:5x 61
504:2x 2x 2x 3x 3x 7
800:2x 2x 2x 2x 2x 5x 5
987:3x 7x 47
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 3x 5x 7 = 840
Therefore, the value for common factors is 840.
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 = 74404292256000/(1x840)
LCM = 74404292256000/840
LCM = 88576538400
Thus, we can understand that the LCM of 613,305,504,800,987 is 88576538400.
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FAQs on LCM of 613, 305, 504, 800, 987
1. What is the LCM of 613, 305, 504, 800, 987?
Answer: LCM of 613, 305, 504, 800, 987 is 88576538400.
2. How to calculate the LCM of 613, 305, 504, 800, 987?
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 613, 305, 504, 800, 987.
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}.