LCM of 987, 341, 784, 728
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 987, 341, 784, 728 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 987, 341, 784, 728. So, keep reading to learn more.
Given numbers are 987,341,784,728
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 987,341,784,728 is 490041552.
Find LCM of 987,341,784,728 with Prime Factorization
| 2 | 987, 341, 784, 728 |
| 2 | 987, 341, 392, 364 |
| 2 | 987, 341, 196, 182 |
| 7 | 987, 341, 98, 91 |
| 141, 341, 14, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 141 x 341 x 14 x 13 = 490041552
Therefore, the lowest common multiple of 987,341,784,728 is 490041552.
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.
987 x 341 x 784 x 728 = 192096288384
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.
987 : 1, 3, 7, 21, 47, 141, 329, 987
341 : 1, 11, 31, 341
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 987,341,784,728, is 1.
Now, the common factors can be found like this.
987:3x 7x 47
341:11x 31
784:2x 2x 2x 2x 7x 7
728:2x 2x 2x 7x 13
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 7x 7 = 392
Therefore, the value for common factors is 392.
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 = 192096288384/(1x392)
LCM = 192096288384/392
LCM = 490041552
Thus, we can understand that the LCM of 987,341,784,728 is 490041552.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 987, 341, 784, 728
1. What is the LCM of 987, 341, 784, 728?
Answer: LCM of 987, 341, 784, 728 is 490041552.
2. How to calculate the LCM of 987, 341, 784, 728?
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 987, 341, 784, 728.
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}.