LCM of 992, 269, 916, 640
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 992, 269, 916, 640 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 992, 269, 916, 640. So, keep reading to learn more.
Given numbers are 992,269,916,640
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 992,269,916,640 is 1222163840.
Find LCM of 992,269,916,640 with Prime Factorization
| 2 | 992, 269, 916, 640 |
| 2 | 496, 269, 458, 320 |
| 2 | 248, 269, 229, 160 |
| 2 | 124, 269, 229, 80 |
| 2 | 62, 269, 229, 40 |
| 31, 269, 229, 20 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 31 x 269 x 229 x 20 = 1222163840
Therefore, the lowest common multiple of 992,269,916,640 is 1222163840.
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.
992 x 269 x 916 x 640 = 156436971520
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.
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
269 : 1, 269
916 : 1, 2, 4, 229, 458, 916
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 992,269,916,640, is 1.
Now, the common factors can be found like this.
992:2x 2x 2x 2x 2x 31
269:269
916:2x 2x 229
640:2x 2x 2x 2x 2x 2x 2x 5
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 2 = 128
Therefore, the value for common factors is 128.
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 = 156436971520/(1x128)
LCM = 156436971520/128
LCM = 1222163840
Thus, we can understand that the LCM of 992,269,916,640 is 1222163840.
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FAQs on LCM of 992, 269, 916, 640
1. What is the LCM of 992, 269, 916, 640?
Answer: LCM of 992, 269, 916, 640 is 1222163840.
2. How to calculate the LCM of 992, 269, 916, 640?
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 992, 269, 916, 640.
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}.