LCM of 513, 424, 386, 774, 121
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 513, 424, 386, 774, 121 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 513, 424, 386, 774, 121. So, keep reading to learn more.
Given numbers are 513,424,386,774,121
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,424,386,774,121 is 218420982648.
Find LCM of 513,424,386,774,121 with Prime Factorization
| 2 | 513, 424, 386, 774, 121 |
| 3 | 513, 212, 193, 387, 121 |
| 3 | 171, 212, 193, 129, 121 |
| 57, 212, 193, 43, 121 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 57 x 212 x 193 x 43 x 121 = 218420982648
Therefore, the lowest common multiple of 513,424,386,774,121 is 218420982648.
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.
513 x 424 x 386 x 774 x 121 = 7863155375328
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.
513 : 1, 3, 9, 19, 27, 57, 171, 513
424 : 1, 2, 4, 8, 53, 106, 212, 424
386 : 1, 2, 193, 386
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
121 : 1, 11, 121
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,424,386,774,121, is 1.
Now, the common factors can be found like this.
513:3x 3x 3x 19
424:2x 2x 2x 53
386:2x 193
774:2x 3x 3x 43
121:11x 11
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 3x 3 = 36
Therefore, the value for common factors is 36.
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 = 7863155375328/(1x36)
LCM = 7863155375328/36
LCM = 218420982648
Thus, we can understand that the LCM of 513,424,386,774,121 is 218420982648.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 513, 424, 386, 774, 121
1. What is the LCM of 513, 424, 386, 774, 121?
Answer: LCM of 513, 424, 386, 774, 121 is 218420982648.
2. How to calculate the LCM of 513, 424, 386, 774, 121?
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 513, 424, 386, 774, 121.
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}.