LCM of 893, 733, 477, 768, 452
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 893, 733, 477, 768, 452 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, 733, 477, 768, 452. So, keep reading to learn more.
Given numbers are 893,733,477,768,452
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 893,733,477,768,452 is 9032172459264.
Find LCM of 893,733,477,768,452 with Prime Factorization
| 2 | 893, 733, 477, 768, 452 |
| 2 | 893, 733, 477, 384, 226 |
| 3 | 893, 733, 477, 192, 113 |
| 893, 733, 159, 64, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 893 x 733 x 159 x 64 x 113 = 9032172459264
Therefore, the lowest common multiple of 893,733,477,768,452 is 9032172459264.
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 733 x 477 x 768 x 452 = 108386069511168
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
733 : 1, 733
477 : 1, 3, 9, 53, 159, 477
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
452 : 1, 2, 4, 113, 226, 452
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 893,733,477,768,452, is 1.
Now, the common factors can be found like this.
893:19x 47
733:733
477:3x 3x 53
768:2x 2x 2x 2x 2x 2x 2x 2x 3
452:2x 2x 113
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 3 = 12
Therefore, the value for common factors is 12.
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 = 108386069511168/(1x12)
LCM = 108386069511168/12
LCM = 9032172459264
Thus, we can understand that the LCM of 893,733,477,768,452 is 9032172459264.
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FAQs on LCM of 893, 733, 477, 768, 452
1. What is the LCM of 893, 733, 477, 768, 452?
Answer: LCM of 893, 733, 477, 768, 452 is 9032172459264.
2. How to calculate the LCM of 893, 733, 477, 768, 452?
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, 733, 477, 768, 452.
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}.