LCM of 574, 462, 835, 478, 835
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 574, 462, 835, 478, 835 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 574, 462, 835, 478, 835. So, keep reading to learn more.
Given numbers are 574,462,835,478,835
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 574,462,835,478,835 is 3780160230.
Find LCM of 574,462,835,478,835 with Prime Factorization
| 2 | 574, 462, 835, 478, 835 |
| 5 | 287, 231, 835, 239, 835 |
| 7 | 287, 231, 167, 239, 167 |
| 167 | 41, 33, 167, 239, 167 |
| 41, 33, 1, 239, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 167 x 41 x 33 x 1 x 239 x 1 = 3780160230
Therefore, the lowest common multiple of 574,462,835,478,835 is 3780160230.
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.
574 x 462 x 835 x 478 x 835 = 88380146177400
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.
574 : 1, 2, 7, 14, 41, 82, 287, 574
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
835 : 1, 5, 167, 835
478 : 1, 2, 239, 478
835 : 1, 5, 167, 835
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 574,462,835,478,835, is 1.
Now, the common factors can be found like this.
574:2x 7x 41
462:2x 3x 7x 11
835:5x 167
478:2x 239
835:5x 167
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 5x 7x 167 = 23380
Therefore, the value for common factors is 23380.
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 = 88380146177400/(1x23380)
LCM = 88380146177400/23380
LCM = 3780160230
Thus, we can understand that the LCM of 574,462,835,478,835 is 3780160230.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 574, 462, 835, 478, 835
1. What is the LCM of 574, 462, 835, 478, 835?
Answer: LCM of 574, 462, 835, 478, 835 is 3780160230.
2. How to calculate the LCM of 574, 462, 835, 478, 835?
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 574, 462, 835, 478, 835.
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}.