LCM of 839, 845, 507, 931
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 839, 845, 507, 931 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 839, 845, 507, 931. So, keep reading to learn more.
Given numbers are 839,845,507,931
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 839,845,507,931 is 1980111315.
Find LCM of 839,845,507,931 with Prime Factorization
| 13 | 839, 845, 507, 931 |
| 13 | 839, 65, 39, 931 |
| 839, 5, 3, 931 |
Multiply the prime numbers at the bottom and the left side.
13 x 13 x 839 x 5 x 3 x 931 = 1980111315
Therefore, the lowest common multiple of 839,845,507,931 is 1980111315.
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.
839 x 845 x 507 x 931 = 334638812235
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.
839 : 1, 839
845 : 1, 5, 13, 65, 169, 845
507 : 1, 3, 13, 39, 169, 507
931 : 1, 7, 19, 49, 133, 931
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 839,845,507,931, is 1.
Now, the common factors can be found like this.
839:839
845:5x 13x 13
507:3x 13x 13
931:7x 7x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 13 = 169
Therefore, the value for common factors is 169.
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 = 334638812235/(1x169)
LCM = 334638812235/169
LCM = 1980111315
Thus, we can understand that the LCM of 839,845,507,931 is 1980111315.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 839, 845, 507, 931
1. What is the LCM of 839, 845, 507, 931?
Answer: LCM of 839, 845, 507, 931 is 1980111315.
2. How to calculate the LCM of 839, 845, 507, 931?
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 839, 845, 507, 931.
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}.