LCM of 914, 390, 924, 600
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 914, 390, 924, 600 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 914, 390, 924, 600. So, keep reading to learn more.
Given numbers are 914,390,924,600
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 914,390,924,600 is 274474200.
Find LCM of 914,390,924,600 with Prime Factorization
| 2 | 914, 390, 924, 600 |
| 2 | 457, 195, 462, 300 |
| 3 | 457, 195, 231, 150 |
| 5 | 457, 65, 77, 50 |
| 457, 13, 77, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 457 x 13 x 77 x 10 = 274474200
Therefore, the lowest common multiple of 914,390,924,600 is 274474200.
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.
914 x 390 x 924 x 600 = 197621424000
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.
914 : 1, 2, 457, 914
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,390,924,600, is 2.
Now, the common factors can be found like this.
914:2x 457
390:2x 3x 5x 13
924:2x 2x 3x 7x 11
600:2x 2x 2x 3x 5x 5
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 3x 5 = 360
Therefore, the value for common factors is 360.
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 = 197621424000/(2x360)
LCM = 197621424000/720
LCM = 274474200
Thus, we can understand that the LCM of 914,390,924,600 is 274474200.
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FAQs on LCM of 914, 390, 924, 600
1. What is the LCM of 914, 390, 924, 600?
Answer: LCM of 914, 390, 924, 600 is 274474200.
2. How to calculate the LCM of 914, 390, 924, 600?
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 914, 390, 924, 600.
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}.