LCM of 519, 418, 646, 277, 746
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 519, 418, 646, 277, 746 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 519, 418, 646, 277, 746. So, keep reading to learn more.
Given numbers are 519,418,646,277,746
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 519,418,646,277,746 is 381049294494.
Find LCM of 519,418,646,277,746 with Prime Factorization
| 2 | 519, 418, 646, 277, 746 |
| 19 | 519, 209, 323, 277, 373 |
| 519, 11, 17, 277, 373 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 519 x 11 x 17 x 277 x 373 = 381049294494
Therefore, the lowest common multiple of 519,418,646,277,746 is 381049294494.
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.
519 x 418 x 646 x 277 x 746 = 28959746381544
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.
519 : 1, 3, 173, 519
418 : 1, 2, 11, 19, 22, 38, 209, 418
646 : 1, 2, 17, 19, 34, 38, 323, 646
277 : 1, 277
746 : 1, 2, 373, 746
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 519,418,646,277,746, is 1.
Now, the common factors can be found like this.
519:3x 173
418:2x 11x 19
646:2x 17x 19
277:277
746:2x 373
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 19 = 76
Therefore, the value for common factors is 76.
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 = 28959746381544/(1x76)
LCM = 28959746381544/76
LCM = 381049294494
Thus, we can understand that the LCM of 519,418,646,277,746 is 381049294494.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 519, 418, 646, 277, 746
1. What is the LCM of 519, 418, 646, 277, 746?
Answer: LCM of 519, 418, 646, 277, 746 is 381049294494.
2. How to calculate the LCM of 519, 418, 646, 277, 746?
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 519, 418, 646, 277, 746.
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}.