LCM of 835, 459, 221, 603
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 835, 459, 221, 603 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 835, 459, 221, 603. So, keep reading to learn more.
Given numbers are 835,459,221,603
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 835,459,221,603 is 333823815.
Find LCM of 835,459,221,603 with Prime Factorization
| 3 | 835, 459, 221, 603 |
| 3 | 835, 153, 221, 201 |
| 17 | 835, 51, 221, 67 |
| 835, 3, 13, 67 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 17 x 835 x 3 x 13 x 67 = 333823815
Therefore, the lowest common multiple of 835,459,221,603 is 333823815.
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.
835 x 459 x 221 x 603 = 51075043695
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.
835 : 1, 5, 167, 835
459 : 1, 3, 9, 17, 27, 51, 153, 459
221 : 1, 13, 17, 221
603 : 1, 3, 9, 67, 201, 603
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 835,459,221,603, is 1.
Now, the common factors can be found like this.
835:5x 167
459:3x 3x 3x 17
221:13x 17
603:3x 3x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 17 = 153
Therefore, the value for common factors is 153.
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 = 51075043695/(1x153)
LCM = 51075043695/153
LCM = 333823815
Thus, we can understand that the LCM of 835,459,221,603 is 333823815.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 835, 459, 221, 603
1. What is the LCM of 835, 459, 221, 603?
Answer: LCM of 835, 459, 221, 603 is 333823815.
2. How to calculate the LCM of 835, 459, 221, 603?
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 835, 459, 221, 603.
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}.