LCM of 504, 468, 858, 274
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 504, 468, 858, 274 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, 468, 858, 274. So, keep reading to learn more.
Given numbers are 504,468,858,274
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 504,468,858,274 is 9873864.
Find LCM of 504,468,858,274 with Prime Factorization
| 2 | 504, 468, 858, 274 |
| 2 | 252, 234, 429, 137 |
| 3 | 126, 117, 429, 137 |
| 3 | 42, 39, 143, 137 |
| 13 | 14, 13, 143, 137 |
| 14, 1, 11, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 13 x 14 x 1 x 11 x 137 = 9873864
Therefore, the lowest common multiple of 504,468,858,274 is 9873864.
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 468 x 858 x 274 = 55451620224
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
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
274 : 1, 2, 137, 274
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,468,858,274, is 2.
Now, the common factors can be found like this.
504:2x 2x 2x 3x 3x 7
468:2x 2x 3x 3x 13
858:2x 3x 11x 13
274:2x 137
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 13 = 2808
Therefore, the value for common factors is 2808.
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 = 55451620224/(2x2808)
LCM = 55451620224/5616
LCM = 9873864
Thus, we can understand that the LCM of 504,468,858,274 is 9873864.
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FAQs on LCM of 504, 468, 858, 274
1. What is the LCM of 504, 468, 858, 274?
Answer: LCM of 504, 468, 858, 274 is 9873864.
2. How to calculate the LCM of 504, 468, 858, 274?
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, 468, 858, 274.
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}.