LCM of 893, 760, 914, 228, 512
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 893, 760, 914, 228, 512 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 893, 760, 914, 228, 512. So, keep reading to learn more.
Given numbers are 893,760,914,228,512
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 893,760,914,228,512 is 3134215680.
Find LCM of 893,760,914,228,512 with Prime Factorization
| 2 | 893, 760, 914, 228, 512 |
| 2 | 893, 380, 457, 114, 256 |
| 2 | 893, 190, 457, 57, 128 |
| 19 | 893, 95, 457, 57, 64 |
| 47, 5, 457, 3, 64 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 19 x 47 x 5 x 457 x 3 x 64 = 3134215680
Therefore, the lowest common multiple of 893,760,914,228,512 is 3134215680.
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.
893 x 760 x 914 x 228 x 512 = 72412919070720
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.
893 : 1, 19, 47, 893
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
914 : 1, 2, 457, 914
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 893,760,914,228,512, is 1.
Now, the common factors can be found like this.
893:19x 47
760:2x 2x 2x 5x 19
914:2x 457
228:2x 2x 3x 19
512:2x 2x 2x 2x 2x 2x 2x 2x 2
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 2x 19x 19 = 23104
Therefore, the value for common factors is 23104.
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 = 72412919070720/(1x23104)
LCM = 72412919070720/23104
LCM = 3134215680
Thus, we can understand that the LCM of 893,760,914,228,512 is 3134215680.
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FAQs on LCM of 893, 760, 914, 228, 512
1. What is the LCM of 893, 760, 914, 228, 512?
Answer: LCM of 893, 760, 914, 228, 512 is 3134215680.
2. How to calculate the LCM of 893, 760, 914, 228, 512?
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 893, 760, 914, 228, 512.
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}.