LCM of 882, 512, 496, 916, 474
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 882, 512, 496, 916, 474 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 882, 512, 496, 916, 474. So, keep reading to learn more.
Given numbers are 882,512,496,916,474
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 882,512,496,916,474 is 126628895232.
Find LCM of 882,512,496,916,474 with Prime Factorization
| 2 | 882, 512, 496, 916, 474 |
| 2 | 441, 256, 248, 458, 237 |
| 2 | 441, 128, 124, 229, 237 |
| 2 | 441, 64, 62, 229, 237 |
| 3 | 441, 32, 31, 229, 237 |
| 147, 32, 31, 229, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 147 x 32 x 31 x 229 x 79 = 126628895232
Therefore, the lowest common multiple of 882,512,496,916,474 is 126628895232.
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.
882 x 512 x 496 x 916 x 474 = 97250991538176
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.
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
916 : 1, 2, 4, 229, 458, 916
474 : 1, 2, 3, 6, 79, 158, 237, 474
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 882,512,496,916,474, is 2.
Now, the common factors can be found like this.
882:2x 3x 3x 7x 7
512:2x 2x 2x 2x 2x 2x 2x 2x 2
496:2x 2x 2x 2x 31
916:2x 2x 229
474:2x 3x 79
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 2x 3 = 384
Therefore, the value for common factors is 384.
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 = 97250991538176/(2x384)
LCM = 97250991538176/768
LCM = 126628895232
Thus, we can understand that the LCM of 882,512,496,916,474 is 126628895232.
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FAQs on LCM of 882, 512, 496, 916, 474
1. What is the LCM of 882, 512, 496, 916, 474?
Answer: LCM of 882, 512, 496, 916, 474 is 126628895232.
2. How to calculate the LCM of 882, 512, 496, 916, 474?
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 882, 512, 496, 916, 474.
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}.