LCM of 487, 973, 364, 728, 882
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 487, 973, 364, 728, 882 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 487, 973, 364, 728, 882. So, keep reading to learn more.
Given numbers are 487,973,364,728,882
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 487,973,364,728,882 is 3104671752.
Find LCM of 487,973,364,728,882 with Prime Factorization
| 2 | 487, 973, 364, 728, 882 |
| 2 | 487, 973, 182, 364, 441 |
| 7 | 487, 973, 91, 182, 441 |
| 13 | 487, 139, 13, 26, 63 |
| 487, 139, 1, 2, 63 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 13 x 487 x 139 x 1 x 2 x 63 = 3104671752
Therefore, the lowest common multiple of 487,973,364,728,882 is 3104671752.
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.
487 x 973 x 364 x 728 x 882 = 110749850737344
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.
487 : 1, 487
973 : 1, 7, 139, 973
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,973,364,728,882, is 1.
Now, the common factors can be found like this.
487:487
973:7x 139
364:2x 2x 7x 13
728:2x 2x 2x 7x 13
882:2x 3x 3x 7x 7
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 7x 7x 13 = 35672
Therefore, the value for common factors is 35672.
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 = 110749850737344/(1x35672)
LCM = 110749850737344/35672
LCM = 3104671752
Thus, we can understand that the LCM of 487,973,364,728,882 is 3104671752.
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FAQs on LCM of 487, 973, 364, 728, 882
1. What is the LCM of 487, 973, 364, 728, 882?
Answer: LCM of 487, 973, 364, 728, 882 is 3104671752.
2. How to calculate the LCM of 487, 973, 364, 728, 882?
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 487, 973, 364, 728, 882.
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}.