LCM of 252, 468, 286, 724
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 252, 468, 286, 724 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 252, 468, 286, 724. So, keep reading to learn more.
Given numbers are 252,468,286,724
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 252,468,286,724 is 6522516.
Find LCM of 252,468,286,724 with Prime Factorization
| 2 | 252, 468, 286, 724 |
| 2 | 126, 234, 143, 362 |
| 3 | 63, 117, 143, 181 |
| 3 | 21, 39, 143, 181 |
| 13 | 7, 13, 143, 181 |
| 7, 1, 11, 181 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 13 x 7 x 1 x 11 x 181 = 6522516
Therefore, the lowest common multiple of 252,468,286,724 is 6522516.
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.
252 x 468 x 286 x 724 = 24420299904
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.
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
286 : 1, 2, 11, 13, 22, 26, 143, 286
724 : 1, 2, 4, 181, 362, 724
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 252,468,286,724, is 2.
Now, the common factors can be found like this.
252:2x 2x 3x 3x 7
468:2x 2x 3x 3x 13
286:2x 11x 13
724:2x 2x 181
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 13 = 1872
Therefore, the value for common factors is 1872.
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 = 24420299904/(2x1872)
LCM = 24420299904/3744
LCM = 6522516
Thus, we can understand that the LCM of 252,468,286,724 is 6522516.
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FAQs on LCM of 252, 468, 286, 724
1. What is the LCM of 252, 468, 286, 724?
Answer: LCM of 252, 468, 286, 724 is 6522516.
2. How to calculate the LCM of 252, 468, 286, 724?
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 252, 468, 286, 724.
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}.