LCM of 478, 182, 892, 329
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 478, 182, 892, 329 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 478, 182, 892, 329. So, keep reading to learn more.
Given numbers are 478,182,892,329
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 478,182,892,329 is 911805076.
Find LCM of 478,182,892,329 with Prime Factorization
| 2 | 478, 182, 892, 329 |
| 7 | 239, 91, 446, 329 |
| 239, 13, 446, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 239 x 13 x 446 x 47 = 911805076
Therefore, the lowest common multiple of 478,182,892,329 is 911805076.
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.
478 x 182 x 892 x 329 = 25530542128
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.
478 : 1, 2, 239, 478
182 : 1, 2, 7, 13, 14, 26, 91, 182
892 : 1, 2, 4, 223, 446, 892
329 : 1, 7, 47, 329
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,182,892,329, is 1.
Now, the common factors can be found like this.
478:2x 239
182:2x 7x 13
892:2x 2x 223
329:7x 47
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 7 = 28
Therefore, the value for common factors is 28.
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 = 25530542128/(1x28)
LCM = 25530542128/28
LCM = 911805076
Thus, we can understand that the LCM of 478,182,892,329 is 911805076.
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FAQs on LCM of 478, 182, 892, 329
1. What is the LCM of 478, 182, 892, 329?
Answer: LCM of 478, 182, 892, 329 is 911805076.
2. How to calculate the LCM of 478, 182, 892, 329?
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 478, 182, 892, 329.
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}.