LCM of 929, 378, 200, 360, 824
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 929, 378, 200, 360, 824 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 929, 378, 200, 360, 824. So, keep reading to learn more.
Given numbers are 929,378,200,360,824
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 929,378,200,360,824 is 3616968600.
Find LCM of 929,378,200,360,824 with Prime Factorization
| 2 | 929, 378, 200, 360, 824 |
| 2 | 929, 189, 100, 180, 412 |
| 2 | 929, 189, 50, 90, 206 |
| 3 | 929, 189, 25, 45, 103 |
| 3 | 929, 63, 25, 15, 103 |
| 5 | 929, 21, 25, 5, 103 |
| 929, 21, 1, 5, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 5 x 929 x 21 x 1 x 5 x 103 = 3616968600
Therefore, the lowest common multiple of 929,378,200,360,824 is 3616968600.
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.
929 x 378 x 200 x 360 x 824 = 20833739136000
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.
929 : 1, 929
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
824 : 1, 2, 4, 8, 103, 206, 412, 824
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 929,378,200,360,824, is 1.
Now, the common factors can be found like this.
929:929
378:2x 3x 3x 3x 7
200:2x 2x 2x 5x 5
360:2x 2x 2x 3x 3x 5
824:2x 2x 2x 103
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 2x 2x 2x 3x 3x 5 = 5760
Therefore, the value for common factors is 5760.
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 = 20833739136000/(1x5760)
LCM = 20833739136000/5760
LCM = 3616968600
Thus, we can understand that the LCM of 929,378,200,360,824 is 3616968600.
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FAQs on LCM of 929, 378, 200, 360, 824
1. What is the LCM of 929, 378, 200, 360, 824?
Answer: LCM of 929, 378, 200, 360, 824 is 3616968600.
2. How to calculate the LCM of 929, 378, 200, 360, 824?
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 929, 378, 200, 360, 824.
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}.