LCM of 494, 560, 300, 824
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 494, 560, 300, 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 494, 560, 300, 824. So, keep reading to learn more.
Given numbers are 494,560,300,824
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 494,560,300,824 is 213704400.
Find LCM of 494,560,300,824 with Prime Factorization
| 2 | 494, 560, 300, 824 |
| 2 | 247, 280, 150, 412 |
| 2 | 247, 140, 75, 206 |
| 5 | 247, 70, 75, 103 |
| 247, 14, 15, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 247 x 14 x 15 x 103 = 213704400
Therefore, the lowest common multiple of 494,560,300,824 is 213704400.
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.
494 x 560 x 300 x 824 = 68385408000
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.
494 : 1, 2, 13, 19, 26, 38, 247, 494
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
824 : 1, 2, 4, 8, 103, 206, 412, 824
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,560,300,824, is 2.
Now, the common factors can be found like this.
494:2x 13x 19
560:2x 2x 2x 2x 5x 7
300:2x 2x 3x 5x 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 5 = 160
Therefore, the value for common factors is 160.
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 = 68385408000/(2x160)
LCM = 68385408000/320
LCM = 213704400
Thus, we can understand that the LCM of 494,560,300,824 is 213704400.
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FAQs on LCM of 494, 560, 300, 824
1. What is the LCM of 494, 560, 300, 824?
Answer: LCM of 494, 560, 300, 824 is 213704400.
2. How to calculate the LCM of 494, 560, 300, 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 494, 560, 300, 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}.