LCM of 824, 927, 705, 425, 329
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 824, 927, 705, 425, 329 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 824, 927, 705, 425, 329. So, keep reading to learn more.
Given numbers are 824,927,705,425,329
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 824,927,705,425,329 is 1036942200.
Find LCM of 824,927,705,425,329 with Prime Factorization
| 3 | 824, 927, 705, 425, 329 |
| 5 | 824, 309, 235, 425, 329 |
| 47 | 824, 309, 47, 85, 329 |
| 103 | 824, 309, 1, 85, 7 |
| 8, 3, 1, 85, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 47 x 103 x 8 x 3 x 1 x 85 x 7 = 1036942200
Therefore, the lowest common multiple of 824,927,705,425,329 is 1036942200.
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.
824 x 927 x 705 x 425 x 329 = 75297557853000
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.
824 : 1, 2, 4, 8, 103, 206, 412, 824
927 : 1, 3, 9, 103, 309, 927
705 : 1, 3, 5, 15, 47, 141, 235, 705
425 : 1, 5, 17, 25, 85, 425
329 : 1, 7, 47, 329
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 824,927,705,425,329, is 1.
Now, the common factors can be found like this.
824:2x 2x 2x 103
927:3x 3x 103
705:3x 5x 47
425:5x 5x 17
329:7x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 47x 103 = 72615
Therefore, the value for common factors is 72615.
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 = 75297557853000/(1x72615)
LCM = 75297557853000/72615
LCM = 1036942200
Thus, we can understand that the LCM of 824,927,705,425,329 is 1036942200.
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FAQs on LCM of 824, 927, 705, 425, 329
1. What is the LCM of 824, 927, 705, 425, 329?
Answer: LCM of 824, 927, 705, 425, 329 is 1036942200.
2. How to calculate the LCM of 824, 927, 705, 425, 329?
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 824, 927, 705, 425, 329.
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}.