LCM of 530, 672, 252, 123, 863
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 530, 672, 252, 123, 863 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 530, 672, 252, 123, 863. So, keep reading to learn more.
Given numbers are 530,672,252,123,863
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 530,672,252,123,863 is 18903013920.
Find LCM of 530,672,252,123,863 with Prime Factorization
| 2 | 530, 672, 252, 123, 863 |
| 2 | 265, 336, 126, 123, 863 |
| 3 | 265, 168, 63, 123, 863 |
| 7 | 265, 56, 21, 41, 863 |
| 265, 8, 3, 41, 863 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 265 x 8 x 3 x 41 x 863 = 18903013920
Therefore, the lowest common multiple of 530,672,252,123,863 is 18903013920.
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.
530 x 672 x 252 x 123 x 863 = 9527119015680
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.
530 : 1, 2, 5, 10, 53, 106, 265, 530
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
123 : 1, 3, 41, 123
863 : 1, 863
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 530,672,252,123,863, is 1.
Now, the common factors can be found like this.
530:2x 5x 53
672:2x 2x 2x 2x 2x 3x 7
252:2x 2x 3x 3x 7
123:3x 41
863:863
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 7 = 504
Therefore, the value for common factors is 504.
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 = 9527119015680/(1x504)
LCM = 9527119015680/504
LCM = 18903013920
Thus, we can understand that the LCM of 530,672,252,123,863 is 18903013920.
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FAQs on LCM of 530, 672, 252, 123, 863
1. What is the LCM of 530, 672, 252, 123, 863?
Answer: LCM of 530, 672, 252, 123, 863 is 18903013920.
2. How to calculate the LCM of 530, 672, 252, 123, 863?
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 530, 672, 252, 123, 863.
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}.