LCM of 852, 762, 678, 748, 896
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 852, 762, 678, 748, 896 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 852, 762, 678, 748, 896. So, keep reading to learn more.
Given numbers are 852,762,678,748,896
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 852,762,678,748,896 is 512166754176.
Find LCM of 852,762,678,748,896 with Prime Factorization
| 2 | 852, 762, 678, 748, 896 |
| 2 | 426, 381, 339, 374, 448 |
| 3 | 213, 381, 339, 187, 224 |
| 71, 127, 113, 187, 224 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 71 x 127 x 113 x 187 x 224 = 512166754176
Therefore, the lowest common multiple of 852,762,678,748,896 is 512166754176.
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.
852 x 762 x 678 x 748 x 896 = 295008050405376
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.
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
762 : 1, 2, 3, 6, 127, 254, 381, 762
678 : 1, 2, 3, 6, 113, 226, 339, 678
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 852,762,678,748,896, is 2.
Now, the common factors can be found like this.
852:2x 2x 3x 71
762:2x 3x 127
678:2x 3x 113
748:2x 2x 11x 17
896:2x 2x 2x 2x 2x 2x 2x 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 3 = 288
Therefore, the value for common factors is 288.
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 = 295008050405376/(2x288)
LCM = 295008050405376/576
LCM = 512166754176
Thus, we can understand that the LCM of 852,762,678,748,896 is 512166754176.
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FAQs on LCM of 852, 762, 678, 748, 896
1. What is the LCM of 852, 762, 678, 748, 896?
Answer: LCM of 852, 762, 678, 748, 896 is 512166754176.
2. How to calculate the LCM of 852, 762, 678, 748, 896?
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 852, 762, 678, 748, 896.
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}.