LCM of 261, 336, 721, 504
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 261, 336, 721, 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 261, 336, 721, 504. So, keep reading to learn more.
Given numbers are 261,336,721,504
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 261,336,721,504 is 3010896.
Find LCM of 261,336,721,504 with Prime Factorization
| 2 | 261, 336, 721, 504 |
| 2 | 261, 168, 721, 252 |
| 2 | 261, 84, 721, 126 |
| 3 | 261, 42, 721, 63 |
| 3 | 87, 14, 721, 21 |
| 7 | 29, 14, 721, 7 |
| 29, 2, 103, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 7 x 29 x 2 x 103 x 1 = 3010896
Therefore, the lowest common multiple of 261,336,721,504 is 3010896.
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.
261 x 336 x 721 x 504 = 31867323264
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.
261 : 1, 3, 9, 29, 87, 261
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
721 : 1, 7, 103, 721
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 261,336,721,504, is 1.
Now, the common factors can be found like this.
261:3x 3x 29
336:2x 2x 2x 2x 3x 7
721:7x 103
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 3x 3x 3x 7x 7 = 10584
Therefore, the value for common factors is 10584.
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 = 31867323264/(1x10584)
LCM = 31867323264/10584
LCM = 3010896
Thus, we can understand that the LCM of 261,336,721,504 is 3010896.
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FAQs on LCM of 261, 336, 721, 504
1. What is the LCM of 261, 336, 721, 504?
Answer: LCM of 261, 336, 721, 504 is 3010896.
2. How to calculate the LCM of 261, 336, 721, 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 261, 336, 721, 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}.