LCM of 504, 950, 446, 720
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 504, 950, 446, 720 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 504, 950, 446, 720. So, keep reading to learn more.
Given numbers are 504,950,446,720
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 504,950,446,720 is 106772400.
Find LCM of 504,950,446,720 with Prime Factorization
| 2 | 504, 950, 446, 720 |
| 2 | 252, 475, 223, 360 |
| 2 | 126, 475, 223, 180 |
| 3 | 63, 475, 223, 90 |
| 3 | 21, 475, 223, 30 |
| 5 | 7, 475, 223, 10 |
| 7, 95, 223, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 5 x 7 x 95 x 223 x 2 = 106772400
Therefore, the lowest common multiple of 504,950,446,720 is 106772400.
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.
504 x 950 x 446 x 720 = 153752256000
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.
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
446 : 1, 2, 223, 446
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,950,446,720, is 2.
Now, the common factors can be found like this.
504:2x 2x 2x 3x 3x 7
950:2x 5x 5x 19
446:2x 223
720:2x 2x 2x 2x 3x 3x 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 2x 3x 3x 5 = 720
Therefore, the value for common factors is 720.
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 = 153752256000/(2x720)
LCM = 153752256000/1440
LCM = 106772400
Thus, we can understand that the LCM of 504,950,446,720 is 106772400.
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FAQs on LCM of 504, 950, 446, 720
1. What is the LCM of 504, 950, 446, 720?
Answer: LCM of 504, 950, 446, 720 is 106772400.
2. How to calculate the LCM of 504, 950, 446, 720?
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 504, 950, 446, 720.
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}.