LCM of 839, 518, 508, 518
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 839, 518, 508, 518 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, 518, 508, 518. So, keep reading to learn more.
Given numbers are 839,518,508,518
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 839,518,508,518 is 110388908.
Find LCM of 839,518,508,518 with Prime Factorization
| 2 | 839, 518, 508, 518 |
| 7 | 839, 259, 254, 259 |
| 37 | 839, 37, 254, 37 |
| 839, 1, 254, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 37 x 839 x 1 x 254 x 1 = 110388908
Therefore, the lowest common multiple of 839,518,508,518 is 110388908.
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 518 x 508 x 518 = 114362908688
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
518 : 1, 2, 7, 14, 37, 74, 259, 518
508 : 1, 2, 4, 127, 254, 508
518 : 1, 2, 7, 14, 37, 74, 259, 518
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 839,518,508,518, is 1.
Now, the common factors can be found like this.
839:839
518:2x 7x 37
508:2x 2x 127
518:2x 7x 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 2x 7x 37 = 1036
Therefore, the value for common factors is 1036.
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 = 114362908688/(1x1036)
LCM = 114362908688/1036
LCM = 110388908
Thus, we can understand that the LCM of 839,518,508,518 is 110388908.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 839, 518, 508, 518
1. What is the LCM of 839, 518, 508, 518?
Answer: LCM of 839, 518, 508, 518 is 110388908.
2. How to calculate the LCM of 839, 518, 508, 518?
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, 518, 508, 518.
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}.