LCM of 335, 819, 637, 835
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 335, 819, 637, 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 335, 819, 637, 835. So, keep reading to learn more.
Given numbers are 335,819,637,835
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 335,819,637,835 is 320732685.
Find LCM of 335,819,637,835 with Prime Factorization
| 5 | 335, 819, 637, 835 |
| 7 | 67, 819, 637, 167 |
| 13 | 67, 117, 91, 167 |
| 67, 9, 7, 167 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 13 x 67 x 9 x 7 x 167 = 320732685
Therefore, the lowest common multiple of 335,819,637,835 is 320732685.
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.
335 x 819 x 637 x 835 = 145933371675
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.
335 : 1, 5, 67, 335
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
637 : 1, 7, 13, 49, 91, 637
835 : 1, 5, 167, 835
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 335,819,637,835, is 1.
Now, the common factors can be found like this.
335:5x 67
819:3x 3x 7x 13
637:7x 7x 13
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.
5x 7x 13 = 455
Therefore, the value for common factors is 455.
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 = 145933371675/(1x455)
LCM = 145933371675/455
LCM = 320732685
Thus, we can understand that the LCM of 335,819,637,835 is 320732685.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 335, 819, 637, 835
1. What is the LCM of 335, 819, 637, 835?
Answer: LCM of 335, 819, 637, 835 is 320732685.
2. How to calculate the LCM of 335, 819, 637, 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 335, 819, 637, 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}.