LCM of 446, 456, 296, 848, 902
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 446, 456, 296, 848, 902 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 446, 456, 296, 848, 902. So, keep reading to learn more.
Given numbers are 446,456,296,848,902
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 446,456,296,848,902 is 179867971536.
Find LCM of 446,456,296,848,902 with Prime Factorization
| 2 | 446, 456, 296, 848, 902 |
| 2 | 223, 228, 148, 424, 451 |
| 2 | 223, 114, 74, 212, 451 |
| 223, 57, 37, 106, 451 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 223 x 57 x 37 x 106 x 451 = 179867971536
Therefore, the lowest common multiple of 446,456,296,848,902 is 179867971536.
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.
446 x 456 x 296 x 848 x 902 = 46046200713216
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.
446 : 1, 2, 223, 446
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
296 : 1, 2, 4, 8, 37, 74, 148, 296
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
902 : 1, 2, 11, 22, 41, 82, 451, 902
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 446,456,296,848,902, is 2.
Now, the common factors can be found like this.
446:2x 223
456:2x 2x 2x 3x 19
296:2x 2x 2x 37
848:2x 2x 2x 2x 53
902:2x 11x 41
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 = 46046200713216/(2x128)
LCM = 46046200713216/256
LCM = 179867971536
Thus, we can understand that the LCM of 446,456,296,848,902 is 179867971536.
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FAQs on LCM of 446, 456, 296, 848, 902
1. What is the LCM of 446, 456, 296, 848, 902?
Answer: LCM of 446, 456, 296, 848, 902 is 179867971536.
2. How to calculate the LCM of 446, 456, 296, 848, 902?
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 446, 456, 296, 848, 902.
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}.