LCM of 318, 870, 200, 693, 504
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 318, 870, 200, 693, 504 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 318, 870, 200, 693, 504. So, keep reading to learn more.
Given numbers are 318,870,200,693,504
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 318,870,200,693,504 is 213028200.
Find LCM of 318,870,200,693,504 with Prime Factorization
| 2 | 318, 870, 200, 693, 504 |
| 2 | 159, 435, 100, 693, 252 |
| 2 | 159, 435, 50, 693, 126 |
| 3 | 159, 435, 25, 693, 63 |
| 3 | 53, 145, 25, 231, 21 |
| 5 | 53, 145, 25, 77, 7 |
| 7 | 53, 29, 5, 77, 7 |
| 53, 29, 5, 11, 1 |
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 53 x 29 x 5 x 11 x 1 = 213028200
Therefore, the lowest common multiple of 318,870,200,693,504 is 213028200.
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.
318 x 870 x 200 x 693 x 504 = 19325918304000
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.
318 : 1, 2, 3, 6, 53, 106, 159, 318
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,870,200,693,504, is 1.
Now, the common factors can be found like this.
318:2x 3x 53
870:2x 3x 5x 29
200:2x 2x 2x 5x 5
693:3x 3x 7x 11
504:2x 2x 2x 3x 3x 7
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 3x 3x 3x 3x 5x 7 = 90720
Therefore, the value for common factors is 90720.
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 = 19325918304000/(1x90720)
LCM = 19325918304000/90720
LCM = 213028200
Thus, we can understand that the LCM of 318,870,200,693,504 is 213028200.
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FAQs on LCM of 318, 870, 200, 693, 504
1. What is the LCM of 318, 870, 200, 693, 504?
Answer: LCM of 318, 870, 200, 693, 504 is 213028200.
2. How to calculate the LCM of 318, 870, 200, 693, 504?
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 318, 870, 200, 693, 504.
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}.