LCM of 504, 372, 480, 935, 694
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 504, 372, 480, 935, 694 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, 372, 480, 935, 694. So, keep reading to learn more.
Given numbers are 504,372,480,935,694
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 504,372,480,935,694 is 20276514720.
Find LCM of 504,372,480,935,694 with Prime Factorization
| 2 | 504, 372, 480, 935, 694 |
| 2 | 252, 186, 240, 935, 347 |
| 2 | 126, 93, 120, 935, 347 |
| 3 | 63, 93, 60, 935, 347 |
| 5 | 21, 31, 20, 935, 347 |
| 21, 31, 4, 187, 347 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 21 x 31 x 4 x 187 x 347 = 20276514720
Therefore, the lowest common multiple of 504,372,480,935,694 is 20276514720.
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 372 x 480 x 935 x 694 = 58396362393600
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
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
935 : 1, 5, 11, 17, 55, 85, 187, 935
694 : 1, 2, 347, 694
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,372,480,935,694, is 1.
Now, the common factors can be found like this.
504:2x 2x 2x 3x 3x 7
372:2x 2x 3x 31
480:2x 2x 2x 2x 2x 3x 5
935:5x 11x 17
694:2x 347
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 3x 3x 5 = 2880
Therefore, the value for common factors is 2880.
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 = 58396362393600/(1x2880)
LCM = 58396362393600/2880
LCM = 20276514720
Thus, we can understand that the LCM of 504,372,480,935,694 is 20276514720.
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FAQs on LCM of 504, 372, 480, 935, 694
1. What is the LCM of 504, 372, 480, 935, 694?
Answer: LCM of 504, 372, 480, 935, 694 is 20276514720.
2. How to calculate the LCM of 504, 372, 480, 935, 694?
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, 372, 480, 935, 694.
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}.