Find the LCM of 478, 243, 458, 446, 851 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, 243, 458, 446, 851. So, keep reading to learn more.
Given numbers are 478,243,458,446,851
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 478,243,458,446,851 is 5047822506618.
Find LCM of 478,243,458,446,851 with Prime Factorization
2 | 478, 243, 458, 446, 851 |
239, 243, 229, 223, 851 |
Multiply the prime numbers at the bottom and the left side.
2 x 239 x 243 x 229 x 223 x 851 = 5047822506618
Therefore, the lowest common multiple of 478,243,458,446,851 is 5047822506618.
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 243 x 458 x 446 x 851 = 20191290026472
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
243 : 1, 3, 9, 27, 81, 243
458 : 1, 2, 229, 458
446 : 1, 2, 223, 446
851 : 1, 23, 37, 851
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,243,458,446,851, is 1.
Now, the common factors can be found like this.
478:2x 239
243:3x 3x 3x 3x 3
458:2x 229
446:2x 223
851:23x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 20191290026472/(1x4)
LCM = 20191290026472/4
LCM = 5047822506618
Thus, we can understand that the LCM of 478,243,458,446,851 is 5047822506618.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 478, 243, 458, 446, 851?
Answer: LCM of 478, 243, 458, 446, 851 is 5047822506618.
2. How to calculate the LCM of 478, 243, 458, 446, 851?
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, 243, 458, 446, 851.
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}.